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Two-level DDM preconditioners for positive Maxwell equations

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.
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Preprints, Working Papers, ...
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https://hal-cnrs.archives-ouvertes.fr/hal-03837305
Contributor : Frédéric Nataf Connect in order to contact the contributor
Submitted on : Wednesday, November 2, 2022 - 5:23:11 PM
Last modification on : Friday, November 4, 2022 - 12:07:18 PM

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  • HAL Id : hal-03837305, version 1
  • ARXIV : 2012.02388

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Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier. Two-level DDM preconditioners for positive Maxwell equations. {date}. ⟨hal-03837305⟩

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