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

PublisherSpringer
Collection
  • Lecture Notes in Computational Science and Engineering; 15
Publication date2010
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.

Citation (ISO format)
DOLEAN, Victoria et al. Optimized Schwarz Methods for Maxwell’s equations with non-zero electric conductivity. In: Domain Decomposition Methods in Science and Engineering. [s.l.] : Springer, 2010. (Lecture Notes in Computational Science and Engineering)
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  • PID : unige:10803
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Creation06/11/2010 10:20:00 AM
First validation06/11/2010 10:20:00 AM
Update time03/14/2023 4:01:06 PM
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