Two-level DDM preconditioners for positive Maxwell equations

N. Bootland, V. Dolean, F. Nataf, P.-H. Tournier

Research output: Working paper

1 Downloads (Pure)

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.
Original languageEnglish
Place of PublicationIthaca, N.Y.
Number of pages22
Publication statusPublished - 4 Dec 2020

Keywords

  • maxwell equations
  • two-level DDM preconditioners
  • domain decomposition methods
  • numerical analysis

Fingerprint

Dive into the research topics of 'Two-level DDM preconditioners for positive Maxwell equations'. Together they form a unique fingerprint.

Cite this