English

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

Numerical Analysis 2024-08-06 v3

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.

Keywords

Cite

@article{arxiv.1705.08138,
  title  = {A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations},
  author = {Marcella Bonazzoli and Victorita Dolean and Ivan Graham and Euan Spence and Pierre-Henri Tournier},
  journal= {arXiv preprint arXiv:1705.08138},
  year   = {2024}
}
R2 v1 2026-06-22T19:55:55.405Z