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Une méthode de sous-domaines pour la résolution des équations de Maxwell instationnaires en présence d'un ensemble non-connexe d'objets diffractant.

Abstract : Starting with a 3D time domain approximation of retarded potentials for electromagnetic currents on not a priori convex polyhedrons, a method for simulation of the scattering by a unconnected set of scatterers is proposed. A clustering is led which follows these in homogeneities. We derive from it a system of coupled Maxwell's equations, each one being homogeneous outside of an associated cluster, combining as a solution of the whole problem. An approximation of coupling terms leads to a method suitable for hybridization and parallelisation. Stability and well-posedness are proved. Truncature in space of any sub-system is done in a neighborhood embedding its inhomogeneities by introducing PML absorbing boundary conditions. Some generalized PML are then introduced. Numerical examples are given to illustrate the purpose.
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https://tel.archives-ouvertes.fr/tel-00136029
Contributor : Vincent Mouysset <>
Submitted on : Sunday, March 11, 2007 - 4:58:48 PM
Last modification on : Tuesday, March 16, 2021 - 3:44:15 PM
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  • HAL Id : tel-00136029, version 1

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Vincent Mouysset. Une méthode de sous-domaines pour la résolution des équations de Maxwell instationnaires en présence d'un ensemble non-connexe d'objets diffractant.. Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2006. Français. ⟨tel-00136029⟩

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