My research activities are concerned with the development of flexible and efficient numerical methodologies for the simulation of wave propagation with a focus on time-domain and frequency-domain electromagnetic wave propagation problems. For that purpose, I am currently embarked on collaborative studies on the following topics: high order discontinuous Galerkin methods formulated on unstructured or hybrid structured-unstructured meshes for the discretization of the system of Maxwell equations; hybrid explicit-implicit time integration schemes and explicit local time stepping schemes in the framework of high order DGTD (Discontinuous Galerkin Time-Domain) methods; domain decomposition (optimized Schwarz) algorithms for the system of Maxwell equations discretized by discontinuous Galerkin methods; high performance computing on heterogeneous SIMD-MIMD systems.
From the point of view of applications, I am more particularly interested in problems involving the interaction of electromagnetic waves with biological tissues. Such problems are for instance faced with when studying the consequences of the exposure of humans to radiations from wireless communication systems. Besides, the medical domain is also the source of numerous situations relevant to this physical context, either for diagnostic (e.g. microwave based medical imaging systems), therapeutic (e.g. noninvasive focused hyperthermia systems) or telemedcine (e.g. design of implantable micro-antenna for wireless physiological monitoring). Numerical modeling and computer simulation is increasingly used for such applications and most often rely on geometrical models of organs based on structured (voxel based) meshes. Alternatively, unstructured mesh based solvers based on the above-mentoned numerical ingredients can lead to a more realistic and improved modeling of such wave propagation problems.
| INRIA, NACHOS project-team 2004 Route des Lucioles, B.P. 93 06902 Sophia Antipolis Cedex, France Tel: +33 4 92 38 77 34 Stephane.Lanteri@inria.fr List of publications Habilitation thesis |
Some recent publications |
Current PhD students
Mohamed El Bouajaji, Optimized Schwarz algorithms for the time harmonic Maxwell equations discretized by discontinuous Galerkin methods, co-supervised with Victorita Dolean
Joseph Charles, Arbitrarily high-order discontinuous Galerkin methods on simplicial meshes for time domain electromagnetics, co-supervised with Loula Fezoui
Clément Durochat, Discontinuous Galerkin methods on hybrid meshes for time domain electromagnetics
Caroline Girard, Coupled DGFD/WCIP method for the analysis of the electromagnetic susceptibility of planar circuits , co-supervised with Nathalie Raveu and Ronan Perrussel (CNRS, Laplace Laboratory, UMR CNRS 5213, INP/ENSEEIHT/UPS Toulouse)
Ludovic Moya, Discontinuous Galerkin time domain method for electromagnetic wave propagation in biological tissues, co-supervised with Stéphane Descombes
Fabien Peyrusse, Numerical simulation of earthquakes by a discontinuous Galerkin method, co-supervised with Nathalie Glinsky
Past PhD students
Luc Fournier, Parallel multigrid algorithms to accelerate complex flow computation with 2D and 3D unstrucured meshes (in French), March 2001
Victorita Dolean, Domain decomposition and multigrid algorithms for the calculation of compressible flows (in French), April 2001
Hugo Fol, Discontinuous Galerkin methods for the numerical resolution of the time-harmonic Maxwell equations (in French), December 2006
Adrien Catella, Efficient time integration schemes for the numerical resolution of the time-domain Maxwell equations using high order discontinuous Galerkin methods on unstructured meshes (in French), co-supervised with Victorita Dolean, December 2008
Hassan Fahs, High order non-conforming discontinuous Galerkin methods on simplicial meshes for the numerical resolution of the time-domain Maxwell equations, co-supervised with Francesca Rapetti, December 2008
Scattering of a plane wave by a perfectly conducting cylinder computed using a discontinuous Galerkin frequency domain (DGFD)
method with 4th-order interpolation of the field components
In collaboration with Mohamed El Bouajaji
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| F = 300 MHz (Ez) | F = 300 MHz (Hx) | F = 600 MHz (Ez) | F = 600 MHz (Hx) |
Scattering of a plane wave by a dielectric cylinder computed using a discontinuous Galerkin frequency domain (DGFD)
method with a non-uniform interpolation order (1st to 4th order) defined locally based on a geometric criterion (contour lines of Ez)
In collaboration with Mohamed El Bouajaji
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| F = 300 MHz | F = 600 MHz | F = 900 MHz |
Head tissues exposure to an electromagnetic wave emitted from a model mobile phone.
Computation based on a discontinuous Galerkin time domain (DGTD)
method with 2nd-order interpolation of the field components
In collaboration with Loula Fezoui and Jow Wiart (Wave Human Interactions and Telecommunications - WHIST Laboratory)
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Full body exposure to electromagnetic waves emitted from multiple localized sources.
Computation based on a discontinuous Galerkin time domain (DGTD)
method with 2nd-order interpolation of the field components
In collaboration with Loula Fezoui and Jow Wiart (Wave Human Interactions and Telecommunications - WHIST Laboratory)
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