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A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations

Bonazzoli, Marcella and Dolean, Victorita and Graham, Ivan G. and Spence, Euan A. and Tournier, Pierre-Henri (2018) A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations. Lecture Notes in Computational Science and Engineering. ISSN 1439-7358 (In Press)

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Abstract

The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view.