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arXiv · 1705.08138

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

Marcella Bonazzoli·Victorita Dolean·Ivan Graham·Euan Spence·Pierre-Henri Tournier
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Abstract

The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at mid- to 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 mid- to 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.

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Marcella Bonazzoli, Victorita Dolean, Ivan Graham, Euan Spence, Pierre-Henri Tournier. 2017-05-23. A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations. https://doi.org/10.1007/978-3-319-93873-8_12

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