Skip to Main content Skip to Navigation
Theses

Couplage Methodes Multipoles - Discretisation Microlocale pour les Equations Integrales de l'Electromagnetisme

Abstract : We are concerned with integral equations of scattering. In order to deal with the well-known high frequency problem, we suggest a coupling of two kind of methods that reduce the numerical complexity of iterative solution of these integrals equations. The microlocal discretization method introduced by T. Abboud, J.-C. Nédélec and B. Zhou, enables one to reduce efficiently the size of the system considering an approximation of the phase function of the unknown. However, the method needs an expensive precalculation. We suggest the use of the fast multipole method introduced by V. Rokhlin, in order to speed up the precalculation. This work is an original application of the fast multipole method for acceleration of a microlocal discretization method within the new integral formulation written by B. Després. Numerical results obtained for Helmholtz's equation are very satisfying. For Maxwell's equations, they are also quite interesting.
Document type :
Theses
Complete list of metadatas

Cited literature [89 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00001797
Contributor : Eric Darrigrand <>
Submitted on : Tuesday, October 8, 2002 - 6:06:51 PM
Last modification on : Thursday, January 11, 2018 - 6:12:27 AM
Long-term archiving on: : Tuesday, September 11, 2012 - 6:05:09 PM

Identifiers

  • HAL Id : tel-00001797, version 1

Collections

INSMI | CNRS | IMB

Citation

Eric Darrigrand. Couplage Methodes Multipoles - Discretisation Microlocale pour les Equations Integrales de l'Electromagnetisme. Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2002. Français. ⟨tel-00001797⟩

Share

Metrics

Record views

410

Files downloads

613