Two-level DDM preconditioners for positive Maxwell equations

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

Research output: Working paper

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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


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


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