Auxiliary Space Preconditioners for a DG Discretization of H(curl; Ω)-Elliptic Problem on Hexahedral Meshes

  • Blanca Ayuso de DiosEmail author
  • Ralf HiptmairEmail author
  • Cecilia PagliantiniEmail author
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 125)


We present a family of preconditioners based on the auxiliary space method for a discontinuous Galerkin discretization on cubical meshes of H(curl;Ω)-elliptic problems with possibly discontinuous coefficients. We address the influence of possible discontinuities in the coefficients on the asymptotic performance of the proposed solvers and present numerical results in two dimensions.


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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItaly
  2. 2.IMATI-CNRPaviaItaly
  3. 3.Seminar for Applied MathematicsETH ZürichZürichSwitzerland
  4. 4.EPFL-SB-MATH-MCSS, École Polytechnique Fédérale de Lausanne (EPFL)LausanneSwitzerland

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