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Title

Optimized Schwarz Methods for Maxwell's equations with non-zero electric conductivity

Authors
Dolean, Victoria
El Bouajaji, Mohamed
Lanteri, Stéphane
Published in Domain Decomposition Methods in Science and Engineering: Springer. 2010
Collection Lecture Notes in Computational Science and Engineering; 15
Abstract The first ideas for optimized Schwarz methods for Maxwell's equations came from the analysis of optimized Schwarz methods for the Helmholtz equation, see [3, 4, 2, 11]. For the case of the rot-rot formulation of the Maxwell equations, optimized Schwarz methods were developed in [1]. The systematic study of Schwarz methods for Maxwell's equations in their general formulation was started in [9, 10], and an entire hierarchy of families of optimized Schwarz methods was analyzed in [8], see also [5] for discontinuous Galerkin discretizations and large scale experiments. We present in this paper a first analysis of optimized Schwarz methods for Maxwell's equations with non-zero electric conductivity. We illustrate our analysis with numerical experiments.
Stable URL http://archive-ouverte.unige.ch/unige:10803
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