Two-level DDM preconditioners for positive Maxwell equations
Numerical Analysis
2021-07-08 v1 Numerical Analysis
Computational Physics
Abstract
In this paper we develop and analyse domain decomposition methods for linear systems of equations arising from conforming finite element discretisations of positive Maxwell-type equations. Convergence of domain decomposition methods rely heavily on the efficiency of the coarse space used in the second level. We design adaptive coarse spaces that complement the near-kernel space made of the gradient of scalar functions. This extends the results in [2] to the variable coefficient case and non-convex domains at the expense of a larger coarse space.
Cite
@article{arxiv.2012.02388,
title = {Two-level DDM preconditioners for positive Maxwell equations},
author = {Niall Bootland and Victorita Dolean and Frédéric Nataf and Pierre-Henri Tournier},
journal= {arXiv preprint arXiv:2012.02388},
year = {2021}
}