# Home Page

## Main.HomePage History

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Kick-off of the %newwin% [[https://epeec-project.eu | EPEEC]] (European joint Effort toward a Highly Productive Programming Environment for Heterogeneous Exascale Computing) H2020 project

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Kick-off of the %newwin% [[https://epeec-project.eu | EPEEC]] (European joint Effort toward a Highly Productive Programming Environment for Heterogeneous Exascale Computing) H2020 project

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Nanowaveguide problem: contour lines of

Nanowaveguide problem: contour lines of

to:

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%center% Nanowaveguide problem: contour lines of

%center% Nanowaveguide problem: contour lines of

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Nanowaveguide problem: contour lines of

the amplitude of the electric field. Left: DGTD method with 5898,824 Dof - Middle: DGTD methid withg 4,608 DoF - Right: MHM-DGTD method with 9,216 DoF

Nanowaveguide problem: contour lines of

the amplitude of the electric field. Left: DGTD method with 5898,824 Dof - Middle: DGTD methid withg 4,608 DoF - Right: MHM-DGTD method with 9,216 DoF

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%newwin% [[https://epubs.siam.org/doi/abs/10.1137/16M110037X | SIAM J. Multiscale Model. Simul., Vol. 16, No. 4, pp.1648–1683 (2018)]]~~\~~\\

to:

%newwin% [[https://epubs.siam.org/doi/abs/10.1137/16M110037X | SIAM J. Multiscale Model. Simul., Vol. 16, No. 4, pp.1648–1683 (2018)]]\\

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Simulating wave propagation in three-dimensional highly heterogeneous

~~media ~~ or heterogeneous media with complex interfaces remains a

~~challenging ~~ task. In many modern applications, this phenomena is

~~associated~~ with high frequency responses when compared to the size of

~~the~~ domain. Classical numerical methods, like finite difference or

~~finite ~~ element methods, must use a very fine mesh to obtain high

~~quality ~~ solutions, which results in huge computational resource

requirements. The Multiscale Hybrid-Mixed (MHM) method implements the

“divide-and-conquer” philosophy to obtain accurate solutions on coarse

meshes. Based on a classical hybridization procedure, the MHM method

~~yields ~~ a staggered algorithm , which is organized around two main

ingredients: (1) a set of multiscale basis functions, which are

~~constructed~~ as the solution of local problems defined in each macro

~~cell~~ of the coarse mesh; (2) a global problem defined on the skeleton

~~of ~~ the coarse mesh that gives rise to a classical finite element

~~formulation~~ leveraging the multiscale basis functions. In the context

~~of ~~ electromagnetic wave propagation modelled by the system of

time-domain Maxwell equations, the local problems are solved using a

classical DGTD method.

requirements. The Multiscale Hybrid-Mixed (MHM) method implements the

“divide-and-conquer” philosophy to obtain accurate solutions on coarse

meshes. Based on a classical hybridization procedure, the MHM method

ingredients: (1) a set of multiscale basis functions, which are

time-domain Maxwell equations, the local problems are solved using a

classical DGTD method.

to:

Simulating wave propagation in three-dimensional highly heterogeneous media or heterogeneous media with complex interfaces remains a challenging task. In many modern applications, this phenomena is associated with high frequency responses when compared to the size of the domain. Classical numerical methods, like finite difference or finite element methods, must use a very fine mesh to obtain high quality solutions, which results in huge computational resource requirements. The Multiscale Hybrid-Mixed (MHM) method implements the “divide-and-conquer” philosophy to obtain accurate solutions on coarse meshes. Based on a classical hybridization procedure, the MHM method yields a staggered algorithm , which is organized around two main ingredients: (1) a set of multiscale basis functions, which are constructed as the solution of local problems defined in each macro cell of the coarse mesh; (2) a global problem defined on the skeleton of the coarse mesh that gives rise to a classical finite element formulation leveraging the multiscale basis functions. In the context of electromagnetic wave propagation modelled by the system of time-domain Maxwell equations, the local problems are solved using a classical DGTD method.

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>><<

!! News - November 2018

(:linebreaks:)

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Paper entitled "The Multiscale Hybrid-Mixed method for the Maxwell equations in heterogeneous media" by . Lanteri, D. Paredes, C. Scheid and F. Valentin

%newwin% [[https://epubs.siam.org/doi/abs/10.1137/16M110037X | SIAM J. Multiscale Model. Simul., Vol. 16, No. 4, pp.1648–1683 (2018)]]\\\

Simulating wave propagation in three-dimensional highly heterogeneous

media or heterogeneous media with complex interfaces remains a

challenging task. In many modern applications, this phenomena is

associated with high frequency responses when compared to the size of

the domain. Classical numerical methods, like finite difference or

finite element methods, must use a very fine mesh to obtain high

quality solutions, which results in huge computational resource

requirements. The Multiscale Hybrid-Mixed (MHM) method implements the

“divide-and-conquer” philosophy to obtain accurate solutions on coarse

meshes. Based on a classical hybridization procedure, the MHM method

yields a staggered algorithm , which is organized around two main

ingredients: (1) a set of multiscale basis functions, which are

constructed as the solution of local problems defined in each macro

cell of the coarse mesh; (2) a global problem defined on the skeleton

of the coarse mesh that gives rise to a classical finite element

formulation leveraging the multiscale basis functions. In the context

of electromagnetic wave propagation modelled by the system of

time-domain Maxwell equations, the local problems are solved using a

classical DGTD method.

!! News - November 2018

(:linebreaks:)

>>frame bgcolor='white' width='200px' align='center'<<

Paper entitled "The Multiscale Hybrid-Mixed method for the Maxwell equations in heterogeneous media" by . Lanteri, D. Paredes, C. Scheid and F. Valentin

%newwin% [[https://epubs.siam.org/doi/abs/10.1137/16M110037X | SIAM J. Multiscale Model. Simul., Vol. 16, No. 4, pp.1648–1683 (2018)]]\\\

Simulating wave propagation in three-dimensional highly heterogeneous

media or heterogeneous media with complex interfaces remains a

challenging task. In many modern applications, this phenomena is

associated with high frequency responses when compared to the size of

the domain. Classical numerical methods, like finite difference or

finite element methods, must use a very fine mesh to obtain high

quality solutions, which results in huge computational resource

requirements. The Multiscale Hybrid-Mixed (MHM) method implements the

“divide-and-conquer” philosophy to obtain accurate solutions on coarse

meshes. Based on a classical hybridization procedure, the MHM method

yields a staggered algorithm , which is organized around two main

ingredients: (1) a set of multiscale basis functions, which are

constructed as the solution of local problems defined in each macro

cell of the coarse mesh; (2) a global problem defined on the skeleton

of the coarse mesh that gives rise to a classical finite element

formulation leveraging the multiscale basis functions. In the context

of electromagnetic wave propagation modelled by the system of

time-domain Maxwell equations, the local problems are solved using a

classical DGTD method.

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Paper entitled "Fitting experimental dispersion data with a simulated annealing method for nano-optics applications" by J. Viquerat\\

%newwin% [[https://doi.org/10.1117/1.JNP.12.036014 | J. of Nanophotonics, Vol. 12, No. 3, 036014 (2018)]]

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Paper entitled "Fitting experimental dispersion data with a simulated annealing method for nano-optics applications" by J. Viquerat\\

%newwin% [[https://doi.org/10.1117/1.JNP.12.036014 | J. of Nanophotonics, Vol. 12, No. 3, 036014 (2018)]]

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Paper entitled "Simulation of three-dimensional nanoscale light interaction with spatially dispersive metals using a high order curvilinear DGTD method" by N. Schmitt, C. Scheid, J. Viquerat and S. Lanteri~~, J~~.~~ Comput~~.~~ Phys~~.~~, Vol~~.~~ 373, pp~~. ~~210–229 ~~(2018)

to:

Paper entitled "Simulation of three-dimensional nanoscale light interaction with spatially dispersive metals using a high order curvilinear DGTD method" by N. Schmitt, C. Scheid, J. Viquerat and S. Lanteri

%newwin% [[https://doi.org/10.1016/j.jcp.2018.06.033 | J. Comput. Phys., Vol. 373, pp. 210–229 (2018)]]

%newwin% [[https://doi.org/10.1016/j.jcp.2018.06.033 | J. Comput. Phys., Vol. 373, pp. 210–229 (2018)]]

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat~~, SIAM J~~.~~ Sci~~.~~ Comput~~.~~, Vol~~. ~~39~~, ~~No~~. ~~3~~, ~~A831–A859 ~~(2017)

to:

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat

%newwin% [[https://doi.org/10.1137/15M105207X | SIAM J. Sci. Comp., Vol. 39, No. 3, pp. A831–A859 (2017)]]

%newwin% [[https://doi.org/10.1137/15M105207X | SIAM J. Sci. Comp., Vol. 39, No. 3, pp. A831–A859 (2017)]]

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Welcome to Mahmoud Elsawy who joined the team as a postodtcoral fellow!\\

Paper entitled "Simulation of three-dimensional nanoscale light interaction with spatially dispersive metals using a high order curvilinear DGTD method" by N. Schmitt, C. Scheid, J. Viquerat and S. Lanteri, J. Comput. Phys., Vol. 373, pp. 210–229 (2018)

>><<

Welcome to Mahmoud Elsawy who joined the team as a postodtcoral fellow!\\

Paper entitled "Simulation of three-dimensional nanoscale light interaction with spatially dispersive metals using a high order curvilinear DGTD method" by N. Schmitt, C. Scheid, J. Viquerat and S. Lanteri, J. Comput. Phys., Vol. 373, pp. 210–229 (2018)

>><<

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(:cell align='center' width='10%':)Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the

(:tableend:)

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%width=150px% %center% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg

Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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(:cell align='~~center~~':)~~ ~~Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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(:cell align='center' width='10%':)Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

(:cellnr align='center' width='10%':)%width=150px% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg

(:cell align='center' width='10%':)Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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(:cell align='~~top~~':) Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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(:cell align='center':) Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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(:cell align='~~center~~':) Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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(:cell align='top':) Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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(:cell align='center':) Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

(:tableend:)

(:cellnr align='center' width='10%':) %width=150px% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg

(:cell align='center':) Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

(:tableend:)

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%center% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg | Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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%center% %width=150px% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg | Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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%~~rfloat width=150px~~% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg | Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

to:

%center% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg | Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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%~~lfloat~~ width=150px% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg | Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

to:

%rfloat width=150px% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg | Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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%lfloat width=~~250px~~% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg | Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

to:

%lfloat width=150px% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg | Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

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!! News - October 2018

(:linebreaks:)

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%lfloat width=250px% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg | Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

>><<

(:linebreaks:)

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%lfloat width=250px% http://www-sop.inria.fr/nachos/pics/people/T-Chaumont.jpeg | Welcome to Théophile Chaumont-Frelet who has been awarded a Junior research scientist position in the team!

>><<

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>><<

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!! News - September 2018

Congratulations to Nikolaï Schmitt who defended his doctoral thesis on September 27!

%center% %width=400px% http://www-sop.inria.fr/nachos/pics/news/2018/oct/phd_nschmitt.png

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%newwin% [[https://jobs.inria.fr/public/classic/~~fr~~/offres/2018-00691 | Development and application of high order finite element solvers for nanoscale light-matter interactions]]\\

to:

%newwin% [[https://jobs.inria.fr/public/classic/en/offres/2018-00691 | Development and application of high order finite element solvers for nanoscale light-matter interactions]]\\

Added lines 36-39:

Research and development engineer (fixed-term)\\

%newwin% [[https://jobs.inria.fr/public/classic/fr/offres/2018-00691 | Development and application of high order finite element solvers for nanoscale light-matter interactions]]\\

Duration: 12 months

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Master internship offers\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_mhm.pdf | Multiscale finite element method for the solution of the frequency-domain Maxwell equations]]\\

Duration: 6 months\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

Duration: 6 months\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]]\\

Duration: 6 months

Deleted lines 35-42:

Master internship offers\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_mhm.pdf | Multiscale finite element method for the solution of the frequency-domain Maxwell equations]]\\

Duration: 6 months\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

Duration: 6 months\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]]\\

Duration: 6 months

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in Multiscale Computational Simulations - project that has started in Januray 2018 for a duration of 2 years, and which ~~involve~~ researchers from Brazil, Chile and France.

to:

in Multiscale Computational Simulations - project that has started in Januray 2018 for a duration of 2 years, and which involves researchers from Brazil, Chile and France.

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in Multiscale Computational Simulations - project that has started in Januray 2018 for a duration of 2 years.

to:

in Multiscale Computational Simulations - project that has started in Januray 2018 for a duration of 2 years, and which involve researchers from Brazil, Chile and France.

Changed line 61 from:

Congratulations to %newwin% [[https://www.researchgate.net/profile/Frederic_Valentin | Fréderic Valentin]] who has been awarded an Inria International Chair for the period 2018-2022! The research project that he ~~wil~~ lead during this period aims at devising innovative multiscale numerical algorithms for the simulation of wave-matter interaction at the nanoscale. This topic is also at the heart of the Math-Amsud %newwin% [[http://www.photom.lncc.br | PHOTOM]] - Photovoltaic Solar Devices

to:

Congratulations to %newwin% [[https://www.researchgate.net/profile/Frederic_Valentin | Fréderic Valentin]] who has been awarded an Inria International Chair for the period 2018-2022! The research project that he will lead during this period aims at devising innovative multiscale numerical algorithms for the simulation of wave-matter interaction at the nanoscale. This topic is also at the heart of the Math-Amsud %newwin% [[http://www.photom.lncc.br | PHOTOM]] - Photovoltaic Solar Devices

Changed lines 61-63 from:

Congratulations to %newwin% [[https://www.researchgate.net/profile/Frederic_Valentin | Fréderic Valentin]] who has been awarded an Inria International Chair for the period 2018-2022!

to:

Congratulations to %newwin% [[https://www.researchgate.net/profile/Frederic_Valentin | Fréderic Valentin]] who has been awarded an Inria International Chair for the period 2018-2022! The research project that he wil lead during this period aims at devising innovative multiscale numerical algorithms for the simulation of wave-matter interaction at the nanoscale. This topic is also at the heart of the Math-Amsud %newwin% [[http://www.photom.lncc.br | PHOTOM]] - Photovoltaic Solar Devices

in Multiscale Computational Simulations - project that has started in Januray 2018 for a duration of 2 years.

in Multiscale Computational Simulations - project that has started in Januray 2018 for a duration of 2 years.

Added lines 61-65:

Congratulations to %newwin% [[https://www.researchgate.net/profile/Frederic_Valentin | Fréderic Valentin]] who has been awarded an Inria International Chair for the period 2018-2022!

(:linebreaks:)

(:linebreaks:)

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Kick-off meeting of the Math-Amsud ~~PHOTOM~~ - Photovoltaic Solar Devices

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Kick-off meeting of the Math-Amsud %newwin% [[http://www.photom.lncc.br | PHOTOM]] - Photovoltaic Solar Devices

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Duration: 16 months

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Duration: 6 months~~.~~\\

to:

Duration: 6 months\\

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Duration: 6 months~~.~~\\

to:

Duration: 6 months\\

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Duration: 6 ~~months. ~~

to:

Duration: 6 months

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Scattering of a plane wave by a 50 nm gold nanosphere: scattering (left) and absorption (right) cross ~~sections~~

to:

Scattering of a plane wave by a 50 nm gold nanosphere: scattering (left) and absorption (right) cross sections for calculations based on a HDG method with quadratic interpolation of the EM field components

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[[Main/News_May-2017 | More details]] - Work done in the context of the PhD project of Hao ~~Wang~~

to:

[[Main/News_May-2017 | More details]] - Work done in the context of the PhD project of Hao Wang\\

H. Wang, L. Xu, B. Li, S. Descombes and S. Lanteri\\

A new family of exponential-based high order DGTD methods for modelling 3D transient multiscale electromagnetic problems\\

%newwin% [[https://doi.org/10.1109/TAP.2017.2752223 | IEEE Trans. Ant. Propag., Vol. 65, No. 11, pp. 5960-5974 (2017)]]

H. Wang, L. Xu, B. Li, S. Descombes and S. Lanteri\\

A new family of exponential-based high order DGTD methods for modelling 3D transient multiscale electromagnetic problems\\

%newwin% [[https://doi.org/10.1109/TAP.2017.2752223 | IEEE Trans. Ant. Propag., Vol. 65, No. 11, pp. 5960-5974 (2017)]]

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Papers on reduced-order modeling based on Proper Orthogonal Decomposition for time-domain electromagnetics\\

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Papers on reduced-order modeling based on Proper Orthogonal Decomposition for time-domain electromagnetics in the context of a collaborative work with researchers from UESTC, Chengdu, China.\\

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%newwin% [[https://doi.org/10.1109/TAP.2017.2768562 | IEEE Trans. Ant. Propag., Vol. 66, No. 1, pp. 242-254 (2018)]]~~\\~~

to:

%newwin% [[https://doi.org/10.1109/TAP.2017.2768562 | IEEE Trans. Ant. Propag., Vol. 66, No. 1, pp. 242-254 (2018)]]

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>><<

!! News - February 2018

(:linebreaks:)

>>frame bgcolor='white'<<

Papers on reduced-order modeling based on Proper Orthogonal Decomposition for time-domain electromagnetics\\

K. Li, T.-Z. Huang, L. Li and S. Lanteri\\

A reduced-order DG formulation based on POD method for the time-domain Maxwell’s equations in dispersive media\\

%newwin% [[https://doi.org/10.1016/j.cam.2017.12.051 | J. Comput. Appl. Math., Vol. 336, pp. 249-266 (2018)]]\\

K. Li, T.-Z. Huang, L. Li, S. Lanteri, L. Xu and B. Li\\

A reduced-order discontinuous Galerkin method based on POD for electromagnetic simulation\\

%newwin% [[https://doi.org/10.1109/TAP.2017.2768562 | IEEE Trans. Ant. Propag., Vol. 66, No. 1, pp. 242-254 (2018)]]\\

!! News - February 2018

(:linebreaks:)

>>frame bgcolor='white'<<

Papers on reduced-order modeling based on Proper Orthogonal Decomposition for time-domain electromagnetics\\

K. Li, T.-Z. Huang, L. Li and S. Lanteri\\

A reduced-order DG formulation based on POD method for the time-domain Maxwell’s equations in dispersive media\\

%newwin% [[https://doi.org/10.1016/j.cam.2017.12.051 | J. Comput. Appl. Math., Vol. 336, pp. 249-266 (2018)]]\\

K. Li, T.-Z. Huang, L. Li, S. Lanteri, L. Xu and B. Li\\

A reduced-order discontinuous Galerkin method based on POD for electromagnetic simulation\\

%newwin% [[https://doi.org/10.1109/TAP.2017.2768562 | IEEE Trans. Ant. Propag., Vol. 66, No. 1, pp. 242-254 (2018)]]\\

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%center% %width=~~220px~~% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cscahighf.jpg %width=~~220px~~% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cabshighf.jpg\\

to:

%center% %width=250px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cscahighf.jpg %width=250px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cabshighf.jpg\\

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Scattering of a plane wave by a 50 nm gold nanosphere: magnitude of '''E''' field at frequencies 1070 THz (left), 1185 THz (middle) and 1300 THz (right)

%center% %width=~~180px~~% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cscahighf.jpg %width=~~180px~~% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cabshighf.jpg

to:

Scattering of a plane wave by a 50 nm gold nanosphere: magnitude of '''E''' field at frequencies 1070 THz (left), 1185 THz (middle) and 1300 THz (right)\\

%center% %width=220px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cscahighf.jpg %width=220px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cabshighf.jpg\\

Scattering of a plane wave by a 50 nm gold nanosphere: scattering (left) and absorption (right) cross sections

%center% %width=220px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cscahighf.jpg %width=220px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cabshighf.jpg\\

Scattering of a plane wave by a 50 nm gold nanosphere: scattering (left) and absorption (right) cross sections

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%center% %width=180px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cscahighf.jpg %width=180px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Cabshighf.jpg

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New high order Hybridized Discontinuous Solver (HDG) for frequency-domain plasmonics in 3D~~.~~

%center% %width=150px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1070THzViz2.png %width=150px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1185THzViz2.png %width=150px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/~~Efield1300THzViz2~~.~~png~~

%center% %width=150px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1070THzViz2.png %width=150px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1185THzViz2.png %width=150px%

to:

New high order Hybridized Discontinuous Solver (HDG) for frequency-domain plasmonics in 3D - Work done in the context of the postdoctoral project of Mostafa Javadzadeh Moghtader

%center% %width=180px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1070THzViz2.png %width=180px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1185THzViz2.png %width=180px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1300THzViz2.png\\

Scattering of a plane wave by a 50 nm gold nanosphere: magnitude of '''E''' field at frequencies 1070 THz (left), 1185 THz (middle) and 1300 THz (right)

%center% %width=180px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1070THzViz2.png %width=180px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1185THzViz2.png %width=180px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1300THzViz2.png\\

Scattering of a plane wave by a 50 nm gold nanosphere: magnitude of '''E''' field at frequencies 1070 THz (left), 1185 THz (middle) and 1300 THz (right)

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%center% %width=150px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1070THzViz2.png %width=150px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1185THzViz2.png %width=150px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1300THzViz2.png

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!! News - May 2017

to:

Added lines 48-56:

New high order Hybridized Discontinuous Solver (HDG) for frequency-domain plasmonics in 3D.

%center% %width=260px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1070THzViz2.png http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1185THzViz2.png http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1300THzViz2.png

>><<

!! News - May 2017

(:linebreaks:)

%center% %width=260px% http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1070THzViz2.png http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1185THzViz2.png http://www-sop.inria.fr/nachos/pics/news/2018/mar/Efield1300THzViz2.png

>><<

!! News - May 2017

(:linebreaks:)

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%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_mhm.pdf | Multiscale finite element method for the solution of the frequency-domain Maxwell equations]]\\~~ ~~Duration: 6 months.\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\~~ ~~Duration: 6 months.\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_mhm.pdf | Multiscale finite element method for the solution of the frequency-domain Maxwell equations]]\\

Duration: 6 months.\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

Duration: 6 months.\\

Duration: 6 months.\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

Duration: 6 months.\\

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Research and development (fixed-term)\\

to:

Research and development engineer (fixed-term)\\

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>><<

!! News - March 2018

(:linebreaks:)

>>frame bgcolor='white'<<

Kick-off meeting of the Math-Amsud PHOTOM - Photovoltaic Solar Devices

in Multiscale Computational Simulations - project\\

March 13-15, LNCC, Petrópolis, Brazil

!! News - March 2018

(:linebreaks:)

>>frame bgcolor='white'<<

Kick-off meeting of the Math-Amsud PHOTOM - Photovoltaic Solar Devices

in Multiscale Computational Simulations - project\\

March 13-15, LNCC, Petrópolis, Brazil

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!! ~~Master internships for 2018~~

to:

!! Job openings

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%newwin% [[http://www

to:

Research and development (fixed-term)\\

%newwin% [[https://jobs.inria.fr/public/classic/en/offres/2018-00457 | Exascale enabled finite element solvers for nanophotonics]]\\

Master internship offers\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_mhm.pdf | Multiscale finite element method for the solution of the frequency-domain Maxwell equations]]\\ Duration: 6 months.\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\ Duration: 6 months.\\

%newwin% [[https://jobs.inria.fr/public/classic/en/offres/2018-00457 | Exascale enabled finite element solvers for nanophotonics]]\\

Master internship offers\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_mhm.pdf | Multiscale finite element method for the solution of the frequency-domain Maxwell equations]]\\ Duration: 6 months.\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\ Duration: 6 months.\\

Changed lines 29-30 from:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]]\\~~ ~~Duration: 6 months.

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]]\\

Duration: 6 months.

Duration: 6 months.

Changed lines 25-29 from:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_mhm.pdf | Multiscale finite element method for the solution of the frequency-domain Maxwell equations]] ~~(~~6 months~~)\\~~

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]] ~~(~~6 months~~)\\~~

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]] ~~(~~6 months~~)~~

%newwin%

%newwin%

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_mhm.pdf | Multiscale finite element method for the solution of the frequency-domain Maxwell equations]]\\ Duration: 6 months.

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\ Duration: 6 months.

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]]\\ Duration: 6 months.

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\ Duration: 6 months.

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]]\\ Duration: 6 months.

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%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_mhm.pdf | Multiscale finite element method for the solution of the frequency-domain Maxwell equations]] (6 months)\\

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%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]]

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]]

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]] (6 months)\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]] (6 months)\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]] (6 months)

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]] (6 months)\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]] (6 months)

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%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\~~\~~

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]]~~\~~\\

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]]\\

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!! Master internships for 2018~~\\\~~

to:

!! Master internships for 2018

(:linebreaks:)

(:linebreaks:)

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Master internships for 2018\\

to:

!! Master internships for 2018\\\

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%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]]

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]]\\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]]\\\

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%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]~~\\~~

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]]

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]]

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]]

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]]

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%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]~~\\~~

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]

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January 2017

%newwin% [[http://www-sop.inria.fr/nachos/tmp/

%newwin% [[http://www-sop.inria.fr/nachos/tmp/

(

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>>frame bgcolor='white'<<

Master internships for 2018\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]

>><<

Master internships for 2018\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_optim.pdf | Optimal design of nanostructured devices driven by specific resonant and scattering properties]]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_lodgtd.pdf | Local approximation order strategy in a DGTD method for the simulation of nanoscale light-matter interactions]\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/internship_hexadgtd.pdf | Simulation of light absorption in nanostructured materials using a DGTD method formulated on non-conforming hybrid hexahedral/tetrahedral meshes]

>><<

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, ~~to appear in SIAM J~~. ~~Sci~~. ~~Comput.~~, ~~2017~~

to:

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, SIAM J. Sci. Comput., Vol. 39, No. 3, A831–A859 (2017)

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%center% %width=600px% http://www-sop.inria.fr/nachos/pics/team_~~06~~-~~2016~~.jpg

to:

%center% %width=600px% http://www-sop.inria.fr/nachos/pics/team_07-2017.jpg

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High order DGTD method based on exponential time integrators for modeling

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[[Main/News_May-2017 | More details]] - Work done in the context of

the PhD project of Hao Wang

the PhD project of Hao Wang

to:

[[Main/News_May-2017 | More details]] - Work done in the context of the PhD project of Hao Wang

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[[Main/News_Feb-2017 | More details]] - Work done in the context of

the PhD project of Alexis Gobé

the PhD project of Alexis Gobé

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[[Main/News_Feb-2017 | More details]] - Work done in the context of the PhD project of Alexis Gobé

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[[Main/News_Jan-2017 | More details]] - Work done in the context of

the PhD project of Nikolai Schmitt

the PhD project of Nikolai Schmitt

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[[Main/News_Jan-2017 | More details]] - Work done in the context of the PhD project of Nikolai Schmitt

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Paper entitled "An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations" by A. Christophe, S. Descombes and S. Lanteri,

to appear in Appl. Math. Comput., 2017

to appear in Appl. Math. Comput., 2017

to:

Paper entitled "An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations" by A. Christophe, S. Descombes and S. Lanteri, to appear in Appl. Math. Comput., 2017

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!! News - ~~February~~ 2017

to:

!! News - May 2017

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Paper entitled "~~Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by ~~S. ~~Lanteri, C. Scheid and J. Viquerat~~

Toappear in ~~SIAM J~~. ~~Sci~~. Comput., 2017

To

to:

Paper entitled "An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations" by A. Christophe, S. Descombes and S. Lanteri,

to appear in Appl. Math. Comput., 2017

(:linebreaks:)

Exponential-based high order DGTD method for modeling

3D transient multiscale electromagnetic problems\\

[[Main/News_May-2017 | More details]] - Work done in the context of

the PhD project of Hao Wang

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>><<

!! News - February 2017

(:linebreaks:)

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput., 2017

to appear in Appl. Math. Comput., 2017

(:linebreaks:)

Exponential-based high order DGTD method for modeling

3D transient multiscale electromagnetic problems\\

[[Main/News_May-2017 | More details]] - Work done in the context of

the PhD project of Hao Wang

%center% %width=300px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/solar_cell_model_sym2-cut0.png %width=300px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/solar_cell_model_sym2-cut1.png

>><<

!! News - February 2017

(:linebreaks:)

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput., 2017

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[[Main/News_Feb-2017 | More details]] - Work ~~performed by~~ Alexis Gobé

to:

[[Main/News_Feb-2017 | More details]] - Work done in the context of

the PhD project of Alexis Gobé

the PhD project of Alexis Gobé

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[[Main/News_Jan-2017 | More details]] - Work ~~performed by~~ Nikolai Schmitt

to:

[[Main/News_Jan-2017 | More details]] - Work done in the context of

the PhD project of Nikolai Schmitt

the PhD project of Nikolai Schmitt

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To appear in SIAM J. Sci. Comput.

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To appear in SIAM J. Sci. Comput., 2017

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[[Main/News_Feb-2017 | More details]] - Work performed by Alexis Gobé~~\\~~

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[[Main/News_Feb-2017 | More details]] - Work performed by Alexis Gobé

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[[Main/News_Feb-2017 | More details]] - Work performed by Alexis Gobé~~\\~~

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[[Main/News_Feb-2017 | More details]] - Work performed by Alexis Gobé

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[[Main/News_Feb-2017 | More details]] - Work performed by Alexis ~~Gobé~~

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[[Main/News_Feb-2017 | More details]] - Work performed by Alexis Gobé\\

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Simulation of light trapping in thin-film solar cells with textured layers\\

[[Main/News_Feb-2017 | More details]] - Work performed by Alexis Gobé

[[Main/News_Feb-2017 | More details]] - Work performed by Alexis Gobé

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>><<

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat~~\\ ~~To appear in SIAM J. Sci. Comput.

to:

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat

To appear in SIAM J. Sci. Comput.

To appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat~~, to~~ appear in SIAM J. Sci. Comput.

to:

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat\\ To appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.~~\\~~

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.\\

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'''General news'''

to:

'''General news'''\\

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%~~lfloat~~ width=200px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png |

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.\\\\\\

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.\\\\\\

to:

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%lfloat width=200px% ~~%width=200px% ~~http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png |

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

to:

%lfloat width=200px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png |

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.\\\\\\

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.\\\\\\

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%lfloat width=~~250px~~% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | ~~''''''~~

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%lfloat width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | ''''''

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.~~\\\~~

to:

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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via the %newwin% [[http://www-math.unice.fr | J.A. Dieudonné Mathematics Laboratory (UMR 7351)]].~~\\\~~

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via the %newwin% [[http://www-math.unice.fr | J.A. Dieudonné Mathematics Laboratory (UMR 7351)]].

(:linebreaks:)

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.\\\

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%lfloat width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%lfloat width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png |

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%lfloat ~~text-align=center% %~~width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%lfloat width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%lfloat text-align=center ~~margin-top~~=~~5px margin~~-~~right=25px margin-bottom=5px margin-left=25px% %width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | ''''''~~ Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%lfloat text-align=center% %width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%lfloat text-align=center margin-top=5px margin-right=25px margin-bottom=5px margin-left=25px% %width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%lfloat text-align=center margin-top=5px margin-right=25px margin-bottom=5px margin-left=25px% %width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | '''''' Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%lfloat text-align=center margin-top=5px margin-right=25px margin-bottom=5px margin-left=25px% %width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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(:cellnr align='~~left~~':) Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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(:cellnr align='top':) Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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(:cellnr align='left':) Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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(:cellnr align='left':) Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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(:cell align='center':)

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(:cellnr align='left':) %width=200px% Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

(:cell align='center':) http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png

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'''General news'''~~\\~~

%rfloat text-align=~~center~~ width=~~250px~~% ~~http~~:~~//www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | ~~

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

%rfloat text-align

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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'''General news'''

(:linebreaks:)

(:table border='0' width='100%' align='center' cellspacing='1px':)

(:cellnr align='left':) Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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(:table border='0' width='100%' align='center' cellspacing='1px':)

(:cellnr align='left':) Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.~~\\\~~

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.\\

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.\\\

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.\\

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%lfloat text-align=center width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%lfloat text-align=center width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png |

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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%lfloat text-align=center width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/feb/nansph_shell.png | Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.~~, 2017~~

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Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput.

%width=600px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nansph_shell-1.png

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!! News - February 2017

(:linebreaks:)

'''General news'''\\

Paper entitled "Analysis of a generalized dispersive model coupled to a DGTD method with application to nanophotonics" by S. Lanteri, C. Scheid and J. Viquerat, to appear in SIAM J. Sci. Comput., 2017

(:linebreaks:)

'''Highlight of the month'''\\

Changed lines 18-19 from:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/ddm_bound_postdoc.pdf | Post-doctoral project]] - Design of a generic parallel domain decomposition solver based on boundary transfer conditions~~\\\~~

%newwin% [[http://www-sop.inria.fr/nachos/tmp/intern_hdg-nanophotonics.pdf | Master internship]] - Efficient finite element type solvers for the numerical modeling of nanoscale light/matter interaction\\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/intern_hdg-nanophotonics.pdf | Master internship]] - Efficient finite element type solvers for the numerical modeling of nanoscale light/matter interaction\

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%newwin% [[http://www-sop.inria.fr/nachos/tmp/ddm_bound_postdoc.pdf | Post-doctoral project]] - Design of a generic parallel domain decomposition solver based on boundary transfer conditions\\

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%newwin% [[http://www-sop.inria.fr/nachos/tmp/~~intern~~_~~opening-inria~~.pdf | ~~Master internship~~]] - ~~Advanced computational modeling of silicon waveguide devices ~~

based on ~~Sub-Wavelength Gratings~~

based

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/ddm_bound_postdoc.pdf | Post-doctoral project]] - Design of a generic parallel domain decomposition solver based on boundary transfer conditions\\\

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First review meeting and workshop of the %newwin% [[https://hpc4e.eu | HPC4E]] project\\

January 30-February 2, 2017 - Inria Sophia Antipolis-Méditerranée

January 30-February 2, 2017 - Inria Sophia Antipolis-Méditerranée

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January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée

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'''General news'''\\

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[[Main/News_Jan-2017 | More details]] - Nikolai Schmitt

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[[Main/News_Jan-2017 | More details]] - Work performed by Nikolai Schmitt

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Highlight of the month~~\\~~

'''New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model~~'''~~

[[Main/News_Jan-2017 | More details]]

to:

'''Highlight of the month'''\\

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model\\

[[Main/News_Jan-2017 | More details]] - Nikolai Schmitt

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model\\

[[Main/News_Jan-2017 | More details]] - Nikolai Schmitt

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We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).

%lfloat text-align=center width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_setup.png | Figure 1. Dimer sphere setup and sketched of incident plane wave.\\

Combining length dimensions in a range less than 100 nm and electromagnetic wavelengths in the optical regime requires an appropriate material model for the metal, i.e. perfectly conducting (PEC) assumption as in the microwave regime is not valid anymore du to the relatively large skin-depth. Well-known dispersion models are e.g. local Drude and Drude-Lorentz dispersion models that have been comprehensively studied in the last decades. If geometric details of the structure under investigation approach length dimensions below approximately 25 nm (this value strongly depends on the material model and the actual geometry), spatial dispersion, i.e. the non-local response of the electron gas significantly increases its influence.

Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis.

Figure 2 shows the resulting scattering cross-sections for the local and non-local dispersion model. A comparison of two numerical fluxes, i.e. centered fluxes and upwind fluxes is provided on this figure.

%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_scat.png | Figure 2. Logarithmic scattering cross-section of the sphere dimer (kz,Ex). Both material models show the same resonances. However, we observe a significant blue shift in the nonlocal case (DGTD-ce: centered flux DGTD solver - DGTD-up: upwind flux DGTD solver).\\\

The simulations exploit third order spatial polynomials and an explicit fourth order low storage Runge-Kutta time discretization scheme. Perfectly matched layers mimic the infinite open space and truncate the tetrahedral mesh. A total field/scattered field formulation permits the evaluation of the scattering cross-section.

%lfloat text-align=center width=275px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_mesh.png | Figure 3. Tetrahedral mesh of the sphere dimer.\\\

All simulations have been performed with a dedicated DGDT solver developed in the framework of the %newwin% [[https://diogenes.inria.fr | DIOGENeS]] software suite.

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%center% First review meeting and workshop of the %newwin% [[ | HPC4E]] project\\~~ ~~January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée

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%center% First review meeting and workshop of the %newwin% [[https://hpc4e.eu | HPC4E]] project\\

January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée

January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée

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%center% %width=~~500px~~% http://www-sop.inria.fr/nachos/pics/news/2017/jan/hpce_meeting_jan_2017.jpeg

%center% First review meeting and workshop of the %newwin% [[ | HPC4E]] project~~(~~January 30-February 2, 2017 - Inria Sophia Antipolis-~~Méidterranée).\\\~~

%center% First review meeting and workshop of the %newwin% [[ | HPC4E]] project

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%center% %width=600px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/hpce_meeting_jan_2017.jpeg

%center% First review meeting and workshop of the %newwin% [[ | HPC4E]] project\\ January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée

%center% First review meeting and workshop of the %newwin% [[ | HPC4E]] project\\ January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée

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%~~lfloat text-align~~=~~center width=350px%~~ http://www-sop.inria.fr/nachos/pics/news/2017/jan/hpce_meeting_jan_2017.jpeg~~ |~~ First review meeting and workshop of the %newwin% [[ | HPC4E]] project (January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée).\\\

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%center% %width=400px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/hpce_meeting_jan_2017.jpeg

%center% First review meeting and workshop of the %newwin% [[ | HPC4E]] project (January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée).\\\

%center% First review meeting and workshop of the %newwin% [[ | HPC4E]] project (January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée).\\\

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%lfloat text-align=center width=~~250px~~% http://www-sop.inria.fr/nachos/pics/news/2017/jan/hpce_meeting_jan_2017.jpeg | First review meeting and workshop of the %newwin% [[ | HPC4E]] project (January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée).\\\

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%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/hpce_meeting_jan_2017.jpeg | First review meeting and workshop of the %newwin% [[ | HPC4E]] project (January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée).\\\

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%lfloat text-align=center width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/hpce_meeting_jan_2017.jpeg | First review meeting and workshop of the %newwin% [[ | HPC4E]] project (January 30-February 2, 2017 - Inria Sophia Antipolis-Méidterranée).\\\

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New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude ~~model~~

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'''New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model'''

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%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_scat.png | Figure 2. Logarithmic scattering cross-section of the sphere dimer (kz,Ex). Both material models show the same resonances. However, we observe a significant blue shift in the nonlocal case.\\\

to:

%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_scat.png | Figure 2. Logarithmic scattering cross-section of the sphere dimer (kz,Ex). Both material models show the same resonances. However, we observe a significant blue shift in the nonlocal case (DGTD-ce: centered flux DGTD solver - DGTD-up: upwind flux DGTD solver).\\\

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All simulations have been performed with a dedicated DGDT solver developed in the framework of the %newwin% [[https://diogenes.inria.fr~~/~~ DIOGENeS]] software suite.

to:

All simulations have been performed with a dedicated DGDT solver developed in the framework of the %newwin% [[https://diogenes.inria.fr | DIOGENeS]] software suite.

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%lfloat text-align=center width=~~250px~~% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_mesh.png | Figure 3. Tetrahedral mesh of the sphere dimer.\\\

to:

%lfloat text-align=center width=275px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_mesh.png | Figure 3. Tetrahedral mesh of the sphere dimer.\\\

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All simulations have been performed with a dedicated DGDT solver developed in the framework of the ~~DIOGENeS~~ software suite.

to:

All simulations have been performed with a dedicated DGDT solver developed in the framework of the %newwin% [[https://diogenes.inria.fr/ DIOGENeS]] software suite.

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%lfloat text-align=center width=~~300px~~% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_setup.png | Figure 1. Dimer sphere setup and sketched of incident plane wave.\\

to:

%lfloat text-align=center width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_setup.png | Figure 1. Dimer sphere setup and sketched of incident plane wave.\\

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%lfloat text-align=center width=~~350px~~% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_mesh.png | Figure 3. Tetrahedral mesh of the sphere dimer.\\\

to:

%lfloat text-align=center width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_mesh.png | Figure 3. Tetrahedral mesh of the sphere dimer.\\\

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Figure 2 shows the resulting scattering cross-sections for the local and non-local dispersion model. A comparison of two numerical fluxes, i.e. centered fluxes and upwind fluxes is provided on this figure.

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to:

The simulations exploit third order spatial polynomials and an explicit fourth order low storage Runge-Kutta time discretization scheme. Perfectly matched layers mimic the infinite open space and truncate the tetrahedral mesh. A total field/scattered field formulation permits the evaluation of the scattering cross-section.

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Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis. ~~All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.~~

to:

Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis.

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Figure 2 shows the resulting scattering cross-sections for the local and non-local dispersion model. A comparison of two numerical fluxes, i.e. centered fluxes and upwind fluxes is provided on this figure. The simulations exploit third order spatial polynomials and an explicit fourth order low storage Runge-Kutta time discretization scheme. Perfectly matched layers mimic the infinite open space and truncate the tetrahedral mesh ~~as shown in Figure 3. A total field/scattered field formulation permits the evaluation of the scattering ~~cross-section.

%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_mesh.png | Figure 3. Tetrahedral mesh of the sphere dimer.~~Red: metal, green: total field region, gold: scattered field region. \\\~~

%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_mesh.png | Figure 3. Tetrahedral mesh of the sphere dimer.

to:

Figure 2 shows the resulting scattering cross-sections for the local and non-local dispersion model. A comparison of two numerical fluxes, i.e. centered fluxes and upwind fluxes is provided on this figure. The simulations exploit third order spatial polynomials and an explicit fourth order low storage Runge-Kutta time discretization scheme. Perfectly matched layers mimic the infinite open space and truncate the tetrahedral mesh. A total field/scattered field formulation permits the evaluation of the scattering cross-section.

%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_mesh.png | Figure 3. Tetrahedral mesh of the sphere dimer.\\\

All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.

%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_mesh.png | Figure 3. Tetrahedral mesh of the sphere dimer.\\\

All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.

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%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_scat.png | Figure 2. Logarithmic scattering cross-section of the sphere dimer (kz,Ex). Both material models show the same resonances. However, we observe a significant blue shift in the nonlocal case.\\

to:

%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_scat.png | Figure 2. Logarithmic scattering cross-section of the sphere dimer (kz,Ex). Both material models show the same resonances. However, we observe a significant blue shift in the nonlocal case.\\\

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%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_mesh.png | Figure 3. Tetrahedral mesh of the sphere dimer. Red: metal, green: total field region, gold: scattered field region. \\\

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%lfloat text-align=center width=350px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_scat.png | Figure 2. Logarithmic scattering cross-section of the sphere dimer (kz,Ex). Both material models show the same resonances. However, we observe a significant blue shift in the nonlocal case.\\

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%lfloat text-align=center width=300px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_setup.png | Dimer sphere setup and sketched of incident plane wave.\\

to:

%lfloat text-align=center width=300px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_setup.png | Figure 1. Dimer sphere setup and sketched of incident plane wave.\\

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%lfloat text-align=center width=300px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_scat.png | Figure 2. Logarithmic scattering cross-section of the sphere dimer (kz,Ex). Both material models show the same resonances. However, we observe a significant blue shift in the nonlocal case.\\

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%lfloat text-align=center width=~~250px~~% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_setup.png | Dimer sphere setup and sketched of incident plane wave.

to:

%lfloat text-align=center width=300px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_setup.png | Dimer sphere setup and sketched of incident plane wave.\\

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%lfloat text-align=center width=250px% http://www-sop.inria.fr/nachos/pics/news/2017/jan/nano_sphere_setup.png | Dimer sphere setup and sketched of incident plane wave.

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Highlight of the month\\

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!!! Highlight of the month\\

to:

!!!! Highlight of the month\\

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We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).~~\\\~~

to:

We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).

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! Highlight of the month\\

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude~~model\\~~

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude

to:

!!! Highlight of the month\\

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model

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New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude ~~model~~

to:

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model\\

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Highlight of the month\\

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model~~\\\~~

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model

to:

! Highlight of the month\\

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model

Changed lines 31-32 from:

We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).

to:

We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).\\\

Changed lines 31-33 from:

We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).~~\\~~

Combining length dimensions in a range less than 100 nm and electromagnetic wavelengths in the optical regime requires an appropriate material model for the metal, i.e. perfectly conducting (PEC) assumption as in the microwave regime is not valid anymore du to the relatively large skin-depth. Well-known dispersion models are e.g. local Drude and Drude-Lorentz dispersion models that have been comprehensively studied in the last decades. If geometric details of the structure under investigation approach length dimensions below approximately 25 nm (this value strongly depends on the material model and the actual geometry), spatial dispersion, i.e. the non-local response of the electron gas significantly increases its influence.~~\\~~

Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis. All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.~~\\~~

Combining length dimensions in a range less than 100 nm and electromagnetic wavelengths in the optical regime requires an appropriate material model for the metal, i.e. perfectly conducting (PEC) assumption as in the microwave regime is not valid anymore du to the relatively large skin-depth. Well-known dispersion models are e.g. local Drude and Drude-Lorentz dispersion models that have been comprehensively studied in the last decades. If geometric details of the structure under investigation approach length dimensions below approximately 25 nm (this value strongly depends on the material model and the actual geometry), spatial dispersion, i.e. the non-local response of the electron gas significantly increases its influence.

Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis. All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.

to:

We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).

Combining length dimensions in a range less than 100 nm and electromagnetic wavelengths in the optical regime requires an appropriate material model for the metal, i.e. perfectly conducting (PEC) assumption as in the microwave regime is not valid anymore du to the relatively large skin-depth. Well-known dispersion models are e.g. local Drude and Drude-Lorentz dispersion models that have been comprehensively studied in the last decades. If geometric details of the structure under investigation approach length dimensions below approximately 25 nm (this value strongly depends on the material model and the actual geometry), spatial dispersion, i.e. the non-local response of the electron gas significantly increases its influence.

Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis. All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.

Combining length dimensions in a range less than 100 nm and electromagnetic wavelengths in the optical regime requires an appropriate material model for the metal, i.e. perfectly conducting (PEC) assumption as in the microwave regime is not valid anymore du to the relatively large skin-depth. Well-known dispersion models are e.g. local Drude and Drude-Lorentz dispersion models that have been comprehensively studied in the last decades. If geometric details of the structure under investigation approach length dimensions below approximately 25 nm (this value strongly depends on the material model and the actual geometry), spatial dispersion, i.e. the non-local response of the electron gas significantly increases its influence.

Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis. All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.

Changed lines 31-36 from:

We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).

Combininglength dimensions in a range less than 100 nm and electromagnetic wavelengths in the optical regime requires an appropriate material model for the metal, i.e. perfectly conducting (PEC) assumption as in the microwave regime is not valid anymore du to the relatively large skin-depth. Well-known dispersion models are e.g. local Drude and Drude-Lorentz dispersion models that have been comprehensively studied in the last decades. If geometric details of the structure under investigation approach length dimensions below approximately 25 nm (this value strongly depends on the material model and the actual geometry), spatial dispersion, i.e. the non-local response of the electron gas significantly increases its influence.

Oursimulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis. All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.~~ ~~

Combining

Our

to:

We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).\\

Combining length dimensions in a range less than 100 nm and electromagnetic wavelengths in the optical regime requires an appropriate material model for the metal, i.e. perfectly conducting (PEC) assumption as in the microwave regime is not valid anymore du to the relatively large skin-depth. Well-known dispersion models are e.g. local Drude and Drude-Lorentz dispersion models that have been comprehensively studied in the last decades. If geometric details of the structure under investigation approach length dimensions below approximately 25 nm (this value strongly depends on the material model and the actual geometry), spatial dispersion, i.e. the non-local response of the electron gas significantly increases its influence.\\

Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis. All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.\\

Combining length dimensions in a range less than 100 nm and electromagnetic wavelengths in the optical regime requires an appropriate material model for the metal, i.e. perfectly conducting (PEC) assumption as in the microwave regime is not valid anymore du to the relatively large skin-depth. Well-known dispersion models are e.g. local Drude and Drude-Lorentz dispersion models that have been comprehensively studied in the last decades. If geometric details of the structure under investigation approach length dimensions below approximately 25 nm (this value strongly depends on the material model and the actual geometry), spatial dispersion, i.e. the non-local response of the electron gas significantly increases its influence.\\

Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis. All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.\\

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!! News - January 2017

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New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model\\

to:

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model\\\

>>frame<<

We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).

Combining length dimensions in a range less than 100 nm and electromagnetic wavelengths in the optical regime requires an appropriate material model for the metal, i.e. perfectly conducting (PEC) assumption as in the microwave regime is not valid anymore du to the relatively large skin-depth. Well-known dispersion models are e.g. local Drude and Drude-Lorentz dispersion models that have been comprehensively studied in the last decades. If geometric details of the structure under investigation approach length dimensions below approximately 25 nm (this value strongly depends on the material model and the actual geometry), spatial dispersion, i.e. the non-local response of the electron gas significantly increases its influence.

Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis. All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.

Figure 2 shows the resulting scattering cross-sections for the local and non-local dispersion model. A comparison of two numerical fluxes, i.e. centered fluxes and upwind fluxes is provided on this figure. The simulations exploit third order spatial polynomials and an explicit fourth order low storage Runge-Kutta time discretization scheme. Perfectly matched layers mimic the infinite open space and truncate the tetrahedral mesh as shown in Figure 3. A total field/scattered field formulation permits the evaluation of the scattering cross-section.

>><<

>>frame<<

We study an elementary nanophotonic setup that consists of two metal nanospheres. Positioning these two spheres as depicted in Figure 1 leads to a strongly coupled nanosphere dimer if the gap size undershoots the sphere’s radius. Such configurations are well known to show extreme field enhancements in the vicinity of the gap (the term gap is used for the area where the spheres are closest).

Combining length dimensions in a range less than 100 nm and electromagnetic wavelengths in the optical regime requires an appropriate material model for the metal, i.e. perfectly conducting (PEC) assumption as in the microwave regime is not valid anymore du to the relatively large skin-depth. Well-known dispersion models are e.g. local Drude and Drude-Lorentz dispersion models that have been comprehensively studied in the last decades. If geometric details of the structure under investigation approach length dimensions below approximately 25 nm (this value strongly depends on the material model and the actual geometry), spatial dispersion, i.e. the non-local response of the electron gas significantly increases its influence.

Our simulation results show a non-negligible blue shift in the scattering cross-section spectrum if non-locality is taken into account. For this simulation, we have used gold spheres with a radius of 20 nm and a gap size of 2 nm. The incident plane wave is parallel to the z-axis and its electric field is polarized parallel to the x-axis. All simulations have been performed with a dedicated DGDT solver developed in the framework of the DIOGENeS software suite.

Figure 2 shows the resulting scattering cross-sections for the local and non-local dispersion model. A comparison of two numerical fluxes, i.e. centered fluxes and upwind fluxes is provided on this figure. The simulations exploit third order spatial polynomials and an explicit fourth order low storage Runge-Kutta time discretization scheme. Perfectly matched layers mimic the infinite open space and truncate the tetrahedral mesh as shown in Figure 3. A total field/scattered field formulation permits the evaluation of the scattering cross-section.

>><<

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!! News - January 2017

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!! Latest news

Added lines 23-25:

(:linebreaks:)

Highlight of the month\\

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model\\

Highlight of the month\\

New DGTD solver for the 3D time-domain Maxwell equations coupled to a linearized non-local Drude model\\

Changed lines 20-21 from:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/intern_hdg-nanophotonics.pdf | Master internship]] - Efficient finite element type solvers for the numerical modeling of nanoscale light/matter ~~interaction~~

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/intern_hdg-nanophotonics.pdf | Master internship]] - Efficient finite element type solvers for the numerical modeling of nanoscale light/matter interaction\\\

%newwin% [[http://www-sop.inria.fr/nachos/tmp/phd_hdg_nano.pdf | PhD project]] - Numerical modeling of light diffusion in nanostructured optical fibers

%newwin% [[http://www-sop.inria.fr/nachos/tmp/phd_hdg_nano.pdf | PhD project]] - Numerical modeling of light diffusion in nanostructured optical fibers

Added lines 19-21:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/intern_hdg-nanophotonics.pdf | Master internship]] - Efficient finite element type solvers for the numerical modeling of nanoscale light/matter interaction

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%newwin% [[http://www-sop.inria.fr/nachos/tmp/intern_opening-inria.pdf | Master internship]] Advanced computational modeling of silicon waveguide devices

to:

%newwin% [[http://www-sop.inria.fr/nachos/tmp/intern_opening-inria.pdf | Master internship]] - Advanced computational modeling of silicon waveguide devices

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%newwin% [[http://www-sop.inria.fr/nachos/intern_opening-inria.pdf | Master internship]] Advanced computational modeling of silicon waveguide devices

to:

(:linebreaks:)

%newwin% [[http://www-sop.inria.fr/nachos/tmp/intern_opening-inria.pdf | Master internship]] Advanced computational modeling of silicon waveguide devices

%newwin% [[http://www-sop.inria.fr/nachos/tmp/intern_opening-inria.pdf | Master internship]] Advanced computational modeling of silicon waveguide devices

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(:linebreaks:)

!! Job offers

%newwin% [[http://www-sop.inria.fr/nachos/intern_opening-inria.pdf | Master internship]] Advanced computational modeling of silicon waveguide devices

based on Sub-Wavelength Gratings

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!! High order discretization methods

We concentrate our efforts on finite element type methods belonging to the family of Discontinuous Galerkin (DG) methods. DG methods are at the heart of the activities of the team regarding the development of high order discretization schemes for the differential systems modeling time-domain and time-harmonic electromagnetic and elastodynamic wave propagation. We currently study three variants of DG methods: (1) DG methods for time-domain problems, (2) hybridizable DG (HDG) methods for time-domain and time-harmonic problems and (3) multiscale DG methods for time-domain problems.

!! Efficient time integration strategies

The use of unstructured meshes in conjunction with high order DG discretization methods for time-domain problems (so-called DGTD methods) is appealing for dealing with complex geometries and heterogeneous propagation media. Moreover, DG discretization methods are naturally adapted to local, conforming as well as non-conforming, refinement of the underlying mesh. Most of the existing DGTD methods rely on explicit time integration schemes and lead to block diagonal mass matrices which is often recognized as one of the main advantages with regards to continuous finite element methods. However, explicit DGTD methods are also constrained by a stability condition that can be very restrictive on highly refined meshes and when the local approximation relies on high order polynomial interpolation. In this context, we study accurate and efficient strategies combining explicit and implicit time integration schemes.

!! Numerical treatment of complex material models

Towards the general aim of being able to consider concrete physical situations, we are interested in taking into account in the numerical methodologies that we study, a better description of the propagation of waves in realistic media. For example, in the context of DGTD formulations for electromagnetic wave propagation models, we study the numerical treatment of local and non-local dispersion models.

!! Applications

Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on devising innovative numerical methodologies for the simulation of problems involving waves interacting with matter structured at the nanoscale. As a first step in this direction we consider applications pertaining to nanophotonics. [[Main/Results | Recent achievements and sample results are described here]].

to:

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Our research activities are concerned with the design, analysis and high performance implementation of numerical methods for the simulation of the interaction of waves (electromagnetic waves and elastic waves) with complex media and irregularly shaped structures.\\\

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The use of unstructured meshes ~~(based on triangles in two space dimensions and tetrahedra in three space dimensions) in conjunction with high order discretization methods for time-domain problems (e~~.~~g. nodal DGTD formulations) is appealing for dealing with complex geometries and heterogeneous propagation media. Moreover, DG-like~~ discretization methods are naturally adapted to local, conforming as well as non-conforming, refinement of the underlying mesh. Most of the existing DGTD methods rely on explicit time integration schemes and lead to block diagonal mass matrices which is often recognized as one of the main advantages with regards to continuous finite element methods. However, explicit DGTD methods are also constrained by a stability condition that can be very restrictive on highly refined meshes and when the local approximation relies on high order polynomial interpolation. In this context, we study accurate and efficient strategies combining explicit and implicit time integration schemes.

to:

The use of unstructured meshes in conjunction with high order DG discretization methods for time-domain problems (so-called DGTD methods) is appealing for dealing with complex geometries and heterogeneous propagation media. Moreover, DG discretization methods are naturally adapted to local, conforming as well as non-conforming, refinement of the underlying mesh. Most of the existing DGTD methods rely on explicit time integration schemes and lead to block diagonal mass matrices which is often recognized as one of the main advantages with regards to continuous finite element methods. However, explicit DGTD methods are also constrained by a stability condition that can be very restrictive on highly refined meshes and when the local approximation relies on high order polynomial interpolation. In this context, we study accurate and efficient strategies combining explicit and implicit time integration schemes.

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via the %newwin% [[http://www-math.unice.fr | J.A. Dieudonné Mathematics Laboratory (UMR 7351)]]\\\

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via the %newwin% [[http://www-math.unice.fr | J.A. Dieudonné Mathematics Laboratory (UMR 7351)]].\\\

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We concentrate our efforts on finite element type methods belonging to the family of Discontinuous Galerkin (DG) methods. DG methods are at the heart of the activities of the team regarding the development of high order discretization schemes for the differential systems modeling time-domain and time-harmonic electromagnetic and elastodynamic wave propagation. We currently study three variants of DG methods: (1)~~ nodal~~ DG methods for time-domain problems, (2) hybridizable DG (HDG) methods for time-domain and time-harmonic problems and (3) multiscale DG methods for time-domain problems.

to:

We concentrate our efforts on finite element type methods belonging to the family of Discontinuous Galerkin (DG) methods. DG methods are at the heart of the activities of the team regarding the development of high order discretization schemes for the differential systems modeling time-domain and time-harmonic electromagnetic and elastodynamic wave propagation. We currently study three variants of DG methods: (1) DG methods for time-domain problems, (2) hybridizable DG (HDG) methods for time-domain and time-harmonic problems and (3) multiscale DG methods for time-domain problems.

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Our research activities are concerned with the design, analysis and high performance implementation of ~~computational tools~~ for ~~modeling~~ the interaction of waves (electromagnetic waves and elastic waves) with complex media and irregularly shaped structures.\\\

to:

Our research activities are concerned with the design, analysis and high performance implementation of numerical methods for the simulation of the interaction of waves (electromagnetic waves and elastic waves) with complex media and irregularly shaped structures.\\\

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Nachos is a joint project-team between %newwin% [[http://www.inria.fr/en/centre/sophia | Inria]], CNRS and the University of Nice/Sophia Antipolis\\

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!!~~cEfficient~~ time integration strategies

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!! Efficient time integration strategies

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!! Numerical treatment of complex material models

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!!cEfficient time integration strategies

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!! High order discretization methods

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! High order discretization methods

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!!! High order discretization methods

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! High order discretization methods

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!! High order discretization methods~~\\~~

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!! High order discretization methods

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!! High order discretization methods\\

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Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on devising ~~nnovative~~ numerical methodologies for the simulation of problems involving waves interacting with matter structured at the nanoscale. As a first step in this direction we consider applications pertaining to nanophotonics. [[Main/Results | Recent achievements and sample results are described here]].

to:

Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on devising innovative numerical methodologies for the simulation of problems involving waves interacting with matter structured at the nanoscale. As a first step in this direction we consider applications pertaining to nanophotonics. [[Main/Results | Recent achievements and sample results are described here]].

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Joint project-team between %newwin% [[http://www.inria.fr/en/centre/sophia | Inria]],~~ the~~ CNRS and the University of Nice/Sophia Antipolis\\

to:

Joint project-team between %newwin% [[http://www.inria.fr/en/centre/sophia | Inria]], CNRS and the University of Nice/Sophia Antipolis\\

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Our research activities are concerned with the design, analysis and high performance implementation of computational tools for modeling the interaction of waves (electromagnetic waves and elastic waves) with complex media and irregularly shaped structures.\\\

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Our research activities are concerned with the design, analysis and high performance implementation of computational tools for modeling the interaction of waves (electromagnetic waves and elastic waves) with complex media and irregularly shaped structures.\\

to:

Our research activities are concerned with the design, analysis and high performance implementation of computational tools for modeling the interaction of waves (electromagnetic waves and elastic waves) with complex media and irregularly shaped structures.\\\

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via the %newwin% [[http://www-math.unice.fr | J.A. Dieudonné Mathematics Laboratory (UMR 7351)]]\\

to:

via the %newwin% [[http://www-math.unice.fr | J.A. Dieudonné Mathematics Laboratory (UMR 7351)]]\\\

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Our research activities are concerned with the design, analysis and high performance implementation of computational tools for modeling the interaction of waves (electromagnetic waves and elastic waves) with complex media and irregularly shaped structures.

to:

Our research activities are concerned with the design, analysis and high performance implementation of computational tools for modeling the interaction of waves (electromagnetic waves and elastic waves) with complex media and irregularly shaped structures.\\

Joint project-team between %newwin% [[http://www.inria.fr/en/centre/sophia | Inria]], the CNRS and the University of Nice/Sophia Antipolis\\

via the %newwin% [[http://www-math.unice.fr | J.A. Dieudonné Mathematics Laboratory (UMR 7351)]]\\

Joint project-team between %newwin% [[http://www.inria.fr/en/centre/sophia | Inria]], the CNRS and the University of Nice/Sophia Antipolis\\

via the %newwin% [[http://www-math.unice.fr | J.A. Dieudonné Mathematics Laboratory (UMR 7351)]]\\

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!!! Welcome to the Nachos team homepage!\\

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!!! Welcome to the Nachos team homepage!\\\

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!!! Welcome to the Nachos team homepage!

(:linebreak:)

(:linebreak:)

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!!! Welcome to the Nachos team homepage!\\

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Welcome to the Nachos team homepage!

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!!! Welcome to the Nachos team homepage!

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Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on devising nnovative numerical methodologies for the simulation of problems involving waves interacting with matter structured at the nanoscale. As a first step in this direction we consider applications pertaining to nanophotonics. [[Main/Results | Recent achievements and sample results are ~~availble~~ here]].

%lfloat text-align=center margin-top=-25px margin-right=25px margin-bottom=5px margin-left=25px width=250px% http://www-sop.inria.fr/nachos/pics/results/nano_sphere/nano_sphere-mesh.jpg

Tetrahedral mesh for plasmonic resonance of a gold nanosphere. The scatterer (in red) is enclosed by the total field (TF) region (in blue), delimited by the TF/SF interface on which the incident field is imposed. Then we find the scattered field (SF) region (in purple), surrounded by UPMLs (in gray).

[[<<]]

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Tetrahedral mesh for plasmonic resonance of a gold nanosphere. The scatterer (in red) is enclosed by the total field (TF) region (in blue), delimited by the TF/SF interface on which the incident field is imposed. Then we find the scattered field (SF) region (in purple), surrounded by UPMLs (in gray).

[[<<]]

to:

Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on devising nnovative numerical methodologies for the simulation of problems involving waves interacting with matter structured at the nanoscale. As a first step in this direction we consider applications pertaining to nanophotonics. [[Main/Results | Recent achievements and sample results are described here]].

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Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on devising nnovative numerical methodologies for the simulation of problems involving waves interacting with matter structured at the nanoscale. As a first step in this direction we consider applications pertaining to nanophotonics.

to:

Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on devising nnovative numerical methodologies for the simulation of problems involving waves interacting with matter structured at the nanoscale. As a first step in this direction we consider applications pertaining to nanophotonics. [[Main/Results | Recent achievements and sample results are availble here]].

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%lfloat~~% %width~~=~~200px% http://www~~-~~sop.inria.fr/nachos/pics/results/nano_sphere/nano_sphere~~-~~mesh.jpg The image is left~~-~~aligned, and the text wraps on the right side of the image~~.~~ The text after the ''[@[[<<]]@]'' markup continues below the image~~.

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%lfloat text-align=center margin-top=5px margin-right=25px margin-bottom=5px margin-left=25px width=200px% http://www-sop.inria.fr/nachos/pics/results/nano_sphere/nano_sphere-mesh.jpg

Tetrahedral mesh for plasmonic resonance of a gold nanosphere. The scatterer (in red) is enclosed by the total field (TF) region (in blue), delimited by the TF/SF interface on which the incident field is imposed. Then we find the scattered field (SF) region (in purple), surrounded by UPMLs (in gray).

Tetrahedral mesh for plasmonic resonance of a gold nanosphere. The scatterer (in red) is enclosed by the total field (TF) region (in blue), delimited by the TF/SF interface on which the incident field is imposed. Then we find the scattered field (SF) region (in purple), surrounded by UPMLs (in gray).

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Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on devising nnovative numerical methodologies for the simulation of problems involving waves interacting with matter structured at the nanoscale. As a first step in this direction we consider applications pertaining to nanophotonics~~/nanoplasmonics~~.

to:

Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on devising nnovative numerical methodologies for the simulation of problems involving waves interacting with matter structured at the nanoscale. As a first step in this direction we consider applications pertaining to nanophotonics.

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Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on ~~problems pertaining to nanophotonics/nanoplasmonics. More precisely, we aim at proposing innovative numerical methodologies for the numerical simulation of light interaction with matter on the nanoscale.~~

to:

Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on devising nnovative numerical methodologies for the simulation of problems involving waves interacting with matter structured at the nanoscale. As a first step in this direction we consider applications pertaining to nanophotonics/nanoplasmonics.

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Although our methodological contributions are in theory applicable to a wide panel of applications in electromagnetics and elastodynamics, we currently concentrate our efforts on problems pertaining to nanophotonics/nanoplasmonics. More precisely, we aim at proposing innovative numerical methodologies for the numerical simulation of light interaction with matter on the nanoscale.

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Towards the general aim of being able to consider concrete physical situations, we are interested in taking into account in the numerical methodologies that we study, a better description of the propagation of waves in realistic media. For example, in the context of DGTD formulations for electromagnetic wave propagation models, we study the numerical treatment of local and non-local dispersion models.

to:

Towards the general aim of being able to consider concrete physical situations, we are interested in taking into account in the numerical methodologies that we study, a better description of the propagation of waves in realistic media. For example, in the context of DGTD formulations for electromagnetic wave propagation models, we study the numerical treatment of local and non-local dispersion models.

'''Applications'''\\

From the point of view of applications, since 2012, we concentrate our efforts on problems pertaining to nanophotonics/nanoplasmonics, i.e., on the numerical modeling of light interaction with nanoscale structures. In this context, our general objective is to propose innovative numerical methodologies for the solution of the system of (time-domain and time-harmonic) Maxwell equations coupled to appropriate models of the materials/structures with which the electromagnetic wave interacts.

'''Applications'''\\

From the point of view of applications, since 2012, we concentrate our efforts on problems pertaining to nanophotonics/nanoplasmonics, i.e., on the numerical modeling of light interaction with nanoscale structures. In this context, our general objective is to propose innovative numerical methodologies for the solution of the system of (time-domain and time-harmonic) Maxwell equations coupled to appropriate models of the materials/structures with which the electromagnetic wave interacts.

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'''High order discretization methods'''

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'''High order discretization methods'''\\

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'''Efficient time integration strategies'''

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'''Efficient time integration strategies'''\\

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'''Numerical treatment of complex material models'''

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'''Numerical treatment of complex material models'''\\

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Welcome to ~~PmWiki!~~

A local copy of PmWiki's

documentation has been installed alongwith the ~~software~~,

~~and is available via the [[PmWiki/documentation index]]. ~~

To continue setting up PmWiki, see [[PmWiki/initial setup tasks]].

The [[PmWiki/basic editing]] page describes how to create pages

in PmWiki. You can practice editing in the [[wiki sandbox]].

More information about PmWiki is available from [[http://www.~~pmwiki~~.~~org]]~~.

A local copy of PmWiki's

documentation has been installed along

To continue setting up PmWiki, see [[PmWiki/initial setup tasks]].

The [[PmWiki/basic editing]] page describes how to create pages

in PmWiki. You can practice editing in the [[wiki sandbox]].

More information about PmWiki is available from [[http://www

to:

Welcome to the Nachos team homepage!

Our research activities are concerned with the design, analysis and high performance implementation of computational tools for modeling the interaction of waves (electromagnetic waves and elastic waves) with complex media and irregularly shaped structures.

'''High order discretization methods'''

We concentrate our efforts on finite element type methods belonging to the family of Discontinuous Galerkin (DG) methods. DG methods are at the heart of the activities of the team regarding the development of high order discretization schemes for the differential systems modeling time-domain and time-harmonic electromagnetic and elastodynamic wave propagation. We currently study three variants of DG methods: (1) nodal DG methods for time-domain problems, (2) hybridizable DG (HDG) methods for time-domain and time-harmonic problems and (3) multiscale DG methods for time-domain problems.

'''Efficient time integration strategies'''

The use of unstructured meshes (based on triangles in two space dimensions and tetrahedra in three space dimensions) in conjunction with high order discretization methods for time-domain problems (e.g. nodal DGTD formulations) is appealing for dealing with complex geometries and heterogeneous propagation media. Moreover, DG-like discretization methods are naturally adapted to local, conforming as well as non-conforming, refinement of the underlying mesh. Most of the existing DGTD methods rely on explicit time integration schemes and lead to block diagonal mass matrices which is often recognized as one of the main advantages with regards to continuous finite element methods. However, explicit DGTD methods are also constrained by a stability condition that can be very restrictive on highly refined meshes and when the local approximation relies on high order polynomial interpolation. In this context, we study accurate and efficient strategies combining explicit and implicit time integration schemes.

'''Numerical treatment of complex material models'''

Towards the general aim of being able to consider concrete physical situations, we are interested in taking into account in the numerical methodologies that we study, a better description of the propagation of waves in realistic media. For example, in the context of DGTD formulations for electromagnetic wave propagation models, we study the numerical treatment of local and non-local dispersion models.

Our research activities are concerned with the design, analysis and high performance implementation of computational tools for modeling the interaction of waves (electromagnetic waves and elastic waves) with complex media and irregularly shaped structures.

'''High order discretization methods'''

We concentrate our efforts on finite element type methods belonging to the family of Discontinuous Galerkin (DG) methods. DG methods are at the heart of the activities of the team regarding the development of high order discretization schemes for the differential systems modeling time-domain and time-harmonic electromagnetic and elastodynamic wave propagation. We currently study three variants of DG methods: (1) nodal DG methods for time-domain problems, (2) hybridizable DG (HDG) methods for time-domain and time-harmonic problems and (3) multiscale DG methods for time-domain problems.

'''Efficient time integration strategies'''

The use of unstructured meshes (based on triangles in two space dimensions and tetrahedra in three space dimensions) in conjunction with high order discretization methods for time-domain problems (e.g. nodal DGTD formulations) is appealing for dealing with complex geometries and heterogeneous propagation media. Moreover, DG-like discretization methods are naturally adapted to local, conforming as well as non-conforming, refinement of the underlying mesh. Most of the existing DGTD methods rely on explicit time integration schemes and lead to block diagonal mass matrices which is often recognized as one of the main advantages with regards to continuous finite element methods. However, explicit DGTD methods are also constrained by a stability condition that can be very restrictive on highly refined meshes and when the local approximation relies on high order polynomial interpolation. In this context, we study accurate and efficient strategies combining explicit and implicit time integration schemes.

'''Numerical treatment of complex material models'''

Towards the general aim of being able to consider concrete physical situations, we are interested in taking into account in the numerical methodologies that we study, a better description of the propagation of waves in realistic media. For example, in the context of DGTD formulations for electromagnetic wave propagation models, we study the numerical treatment of local and non-local dispersion models.