A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations
It provides a fast iterative solver for the indefinite time-harmonic Maxwell system, addressing a current challenge in computational electromagnetics.
The paper extends two-level domain-decomposition preconditioners from the Helmholtz equation to the time-harmonic Maxwell's equations, demonstrating their effectiveness for mid- to high-frequency problems through theoretical analysis and numerical experiments.
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.