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Applied mathematics and computational methods

S. Lanteri, D. Paredes, C. Scheid and F. Valentin
The Multiscale Hybrid-Mixed method for the Maxwell equations in heterogeneous media
SIAM J. Multiscale Model. Simul., Vol. 16, No. 4, pp.1648–1683 (2018)

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
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
IEEE Trans. Ant. Propag., Vol. 66, No. 1, pp. 242-254 (2018)

A. Christophe, S. Descombes and S. Lanteri
An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations
Appl. Math. Comput., Vol. 319, pp. 395-408 (2018)

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
IEEE Trans. Ant. Propag., Vol. 65, No. 11, pp. 5960-5974 (2017)

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

S. Descombes, S. Lanteri and L. Moya
Temporal convergence analysis of a locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media
J. Comput. Appl. Math., Vol. 316, pp. 122-132 (2017)

S. Descombes, S. Lanteri and L. Moya
Locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media applied to numerical dosimetry in biological tissues
SIAM J. Sci. Comp., Vol. 38, No. 5, pp. A2611–A2633 (2016)

S. Descombes and S. Lanteri and L. Moya
Temporal convergence analysis of a locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media
J. Comp. Appl. Math., Vol. 316, pp 122-132 (2016)

Y.-X. He, L. Li, S. Lanteri and T.-Z. Huang
Optimized Schwarz algorithms for solving time-harmonic Maxwell’s equations discretized by a hybridizable Discontinuous Galerkin method
Comp. Phys. Comm., Vol. 200, pp. 176–181 (2016)

V. Dolean, M. Gander, S. Lanteri, J.-F. Lee and Z. Peng
Effective transmission conditions for domain decomposition methods applied to the time-harmonic Curl-Curl Maxwell’s equations
J. Comput. Phys., Vol. 280, No. 1, pp. 232—247 (2015)

J. Gopalakrishnan, S. Lanteri, N. Olivares and R. Perrussel
Stabilization in relation to wavenumber in HDG methods
Adv. Model. Simul. Engng. Scienc., Vol. 2, No. 13 (2015)

M.E. Bouajaji, V. Dolean, M. Gander, S. Lanteri and R. Perrussel
Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell’s equations
Electr. Trans. Numer. Anal., Vol. 44, pp. 572–592 (2015)

S. Delcourte and N. Glinsky
Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation
ESAIM: Math. Model. and Numer. Anal., Vol. 49, No. 4, pp. 1085–1126 (2015)

L. Li, S. Lanteri and R. Perrussel
A class of locally well-posed hybridizable discontinuous Galerkin methods for the solution of time-harmonic Maxwell’s equations
Comp. Phys. Comm., Vol. 192, pp. 23–31 (2015)

L. Li, S. Lanteri and R. Perrussel
A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell’s equations
J. Comput. Phys., Vol. 256, pp. 563–581 (2014)

S. Lanteri and C. Scheid
Convergence of a discontinuous Galerkin scheme for the mixed time domain Maxwell’s equations in dispersive media
IMA J. Numer. Anal., Vol. 33, No. 2, pp. 432–459 (2013)

M.E. Bouajaji and S. Lanteri
High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell’s equations
Appl. Math. Comput., Vol. 219, No. 13, pp. 7241–7251 (2013)

L. Moya, S. Descombes and S. Lanteri
Locally implicit time integration strategies in a dis- continuous Galerkin method for Maxwell’s equations
J. Sci. Comp., Vol. 56, No. 1, pp. 190–218 (2013)

C. Durochat, S. Lanteri and C. Scheid
High order non-conforming multi-element discontinuous Galerkin method for time domain electromagnetics
Appl. Math. Comput., Vol. 224, pp. 681–704 (2013)

L. LI, S. Lanteri and R. Perrussel
Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time-harmonic Maxwell’s equations
COMPEL, Vol. 32, No. 3, pp. 1112–1138 (2013)

M. El Bouajaji, V. Dolean, M. J. Gander and S. Lanteri
Optimized Schwarz methods for the time-harmonic Maxwell equations with damping
SIAM J. Sci. Comp., Vol. 34, No. 4, pp. A2048-A2071 (2012)

A. Catella, V. Dolean and S. Lanteri
An implicit discontinuous Galerkin time-domain method for two-dimensional electromagnetic wave propagation
COMPEL, Vol. 29, No. 3, pp. 602-625 (2010)

V. Dolean, H. Fahs, L. Fezoui and S. Lanteri
Locally implicit discontinuous Galerkin method for time domain electromagnetics
J. Comput. Phys., Vol. 229, No. 2, pp. 512-526 (2010)

H. Fahs and S. Lanteri
A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics
J. Comput. Appl. Math., Vol. 234, pp. 1088-1096 (2010)

V. Dolean, H. Fol, S. Lanteri and R. Perrussel
Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods
J. Comp. Appl. Math., Vol. 218, No. 2 pp. 435-445 (2008)

V. Dolean, S. Lanteri and R. Perrussel
A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods
J. Comput. Phys., Vol. 227, No. 3 pp. 2044-2072 (2008)

Computational nanophotonics

J. Viquerat
Fitting experimental dispersion data with a simulated annealing method for nano-optics applications
J. of Nanophotonics, Vol. 12, No. 3, 036014 (2018)

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

L. Li, S. Lanteri, N.A. Mortensen and M. Wubs
A hybridizable discontinuous Galerkin method for solving nonlocal optical response models
Comput. Phys. Comm., Vol. 219, pp. 99-107 (2017)

N. Schmitt, C. Scheid, S. Lanteri, A. Moreau and J. Viquerat
A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account non-local dispersion effects
J. Comput. Phys., Vol. 316, pp. 396–415 (2016)

J. Viquerat and S. Lanteri
Simulation of near-field plasmonic interactions with a local approximation order discontinuous Galerkin time-domain method
Photonics and Nanostructures - Fundamentals and Applications, Vol. 18, pp. 43–58 (2016)

J. Viquerat and C. Scheid
A 3D curvilinear discontinuous Galerkin time-domain solver for nanoscale light–matter interactions
J. Comp. Appl. Math., Vol. 289, pp 37-50 (2015)

R. Léger, J. Viquerat, C. Durochat, C. Scheid and S. Lanteri
A parallel non-conforming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles
J. Comp. Appl. Math., Vol. 270, pp. 330–342 (2013)

S. Descombes, C. Durochat, S. Lanteri, L. Moya, C. Sscheid and J. Viquerat
Recent advances on a DGTD method for time-domain electromagnetics
Photonics and Nanostructures - Fundamentals and Applications, Vol. 11, No. 4, pp. 291–302 (2013)

Computational biolectromagnetics

C. Durochat, S. Lanteri and R. Léger
A non-conforming multi-element DGTD method for the simulation of human exposure to electromagnetic waves
Int. J. Numer. Model., Electron. Netw. Devices Fields, Vol. 27, pp. 614–625 (2013)

H. Fahs, A. Hadjem, S. Lanteri, J. Wiart and M.F. Wong
Calculation of the SAR induced in head tissues using a high order DGTD method and triangulated geometrical models
IEEE Trans. Ant. Propag., Vol. 59, No. 12, pp. 4669-4678 (2011)

Computational elastodynamics

M. Bonnasse-Gahot, H. Calandra, J. Diaz and S. Lanteri
Hybridizable discontinuous Galerkin method for the two-dimensional frequency-domain elastic wave equations
Geophys. J. Int., to appear (2018)

F. Peyrusse, N. Glinsky-Olivier, C. Gélis and S. Lanteri
A nodal discontinuous Galerkin method for site effects assessment in viscoelastic media - verification and validation in the Nice basin
Geophys. J. Int., Vol. 199, No. 1, pp. 315–334 (2014)