A Two-Level Domain-Decomposition Preconditioner for the Time-Harmonic Maxwell’s Equations
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.
This work has been supported in part by the French National Research Agency (ANR), project MEDIMAX, ANR-13-MONU-0012.
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