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inria-00073072, version 1

3D Harmonic Maxwell Solutions on Vector and Parallel Computers using Controllability and Finite Element Methods

Marie-Odile Bristeau () 1, Roland Glowinski, Jacques Périaux, Tuomo Rossi 1

N° RR-3607 (1999)

Abstract: We consider the scattering problem for 3-D electromagnetic harmonic waves. The time-domain Maxwell's equations are solved and Exact Controllability methods improve the convergence of the solutions to the time-periodic ones for nonconvex obstacles. A least-squares formulation solved by a preconditioned conjugate gradient is introduced. The discretization is achieved in time by a centered finite difference scheme and in space by Lagrange finite elements. Numerical results for 3-D nonconvex scatterers illustrate the efficiency of the method on vector and parallel computers.

  • 1:  M3N (INRIA Rocquencourt)
  • INRIA
  • Domain : Computer Science/Other
  • Keywords : MAXWELL EQUATIONS / SCATTERING / CONTROLLABILITY / LEAST-SQUARES /SHOOTING METHOD / CONJUGATE GRADIENT / FINITE ELEMENTS / PARALLELIZATION
  • Internal note : RR-3607
  • Comment : Projet M3N
 
  • inria-00073072, version 1
  • http://hal.inria.fr/inria-00073072
  • oai:hal.inria.fr:inria-00073072
  • From: Rapport De Recherche Inria <>
  • Submitted on: Wednesday, 24 May 2006 11:46:52
  • Updated on: Tuesday, 17 April 2007 09:27:11