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

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Domain Decomposition Methods in Science and Engineering XXIV (DD 2017)

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 125))

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Abstract

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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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, Bologna, Italy

    Blanca Ayuso de Dios

  2. IMATI-CNR, Pavia, Italy

    Blanca Ayuso de Dios

  3. Seminar for Applied Mathematics, ETH Zürich, Zürich, Switzerland

    Ralf Hiptmair

  4. EPFL-SB-MATH-MCSS, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland

    Cecilia Pagliantini

Authors
  1. Blanca Ayuso de Dios
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  2. Ralf Hiptmair
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  3. Cecilia Pagliantini
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Corresponding authors

Correspondence to Blanca Ayuso de Dios , Ralf Hiptmair or Cecilia Pagliantini .

Editor information

Editors and Affiliations

  1. Department of Informatics, University of Bergen, Bergen, Norway

    Petter E. Bjørstad

  2. Department of Mathematics, Louisana State University, Baton Rouge, LA, USA

    Susanne C. Brenner

  3. Laboratoire Analyse, Géométrie et Applications, Université Paris 13, Villetaneuse, France

    Lawrence Halpern

  4. Department of Applied Mathematics, Kyung Hee University, Yongin, Korea (Republic of)

    Hyea Hyun Kim

  5. FB Mathematik und Informatik, Freie Universität Berlin, Berlin, Germany

    Ralf Kornhuber

  6. Western Norway University of Applied Sciences, Bergen, Norway

    Talal Rahman

  7. Courant Institute of Mathematical Sciences, New York University, New York, NY, USA

    Olof B. Widlund

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Ayuso de Dios, B., Hiptmair, R., Pagliantini, C. (2018). Auxiliary Space Preconditioners for a DG Discretization of H(curl; Ω)-Elliptic Problem on Hexahedral Meshes. In: Bjørstad, P., et al. Domain Decomposition Methods in Science and Engineering XXIV . DD 2017. Lecture Notes in Computational Science and Engineering, vol 125. Springer, Cham. https://doi.org/10.1007/978-3-319-93873-8_20

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