LÉGER , Raphaël

During the last ten years, the discontinuous Galerkin time-domain (DGTD) method has progressively emerged as a viable alternative to well established finite-difference time-domain (FDTD) and finite-element time-domain (FETD) methods for the numerical simulation of electromagnetic wave propagation problems in the time-domain. We discuss here...

In this paper, we report on our recent efforts towards adapting a Discon-tinuous Galerkin Time-Domain solver for computational bioelectromagnetics to the novel, heterogeneous architecture proposed in the DEEP-ER european project on exascale computing. This architecture is based on the Cluster/Booster division concept which will be recalled. As...

This work proposes a Multiscale Hybrid-Mixed (MHM) method for the Maxwell equation in time domain. The MHM method is a consequence of a hybridization procedure, and emerges as a method that naturally incorporates multiple scales while provides solutions with high-order precision. The computation of local problems is embedded in the upscaling...

In this work, we address time-dependent electromagnetic wave propagation problems with strong multiscale features with application to nanophotonics, where problems usually involve complex mul-tiscale geometries, heterogeneous materials, and intense, localized electromagnetic fields. Nanopho-tonics simulations require very fine meshes to...

The present work is about the development of a parallel non-conforming multi-element discontinuous Galerkin time-domain (DGTD) method for the simulation of the scattering of electromagnetic waves by metallic nanoparticles. Such nanoparticles most often have curvilinear shapes, therefore we propose a numerical modeling strategy which combines...

This work proposes a Multiscale Hybrid-Mixed (MHM) method for the Maxwell equation in time domain. The MHM method is a consequence of a hybridization procedure, and emerges as a method that naturally incorporates multiple scales while provides solutions with high-order precision. The computation of local problems is embedded in the upscaling...

This paper is concerned with the development of a scalable high order finite element type solver for the numerical modeling of light interaction with nanometer scale structures. From the mathematical modeling point of view, one has to deal with the differential system of Maxwell equations in the time domain, coupled to an appropriate...