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

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.
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https://hal.inria.fr/inria-00073072
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Submitted on : Wednesday, May 24, 2006 - 11:46:52 AM
Last modification on : Thursday, February 3, 2022 - 11:17:23 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:39:11 PM

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  • HAL Id : inria-00073072, version 1

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Marie-Odile Bristeau, Roland Glowinski, Jacques Périaux, Tuomo Rossi. 3D Harmonic Maxwell Solutions on Vector and Parallel Computers using Controllability and Finite Element Methods. [Research Report] RR-3607, INRIA. 1999. ⟨inria-00073072⟩

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