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A One-Level Additive Schwarz Preconditioner for a Discontinuous Petrov–Galerkin Method

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Domain Decomposition Methods in Science and Engineering XXI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 98))

Abstract

Discontinuous Petrov–Galerkin (DPG) methods are new discontinuous Galerkin methods [3–8] with interesting properties. In this article we consider a domain decomposition preconditioner for a DPG method for the Poisson problem.

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Acknowledgements

The work of the first author was supported in part by the National Science Foundation VIGRE Grant DMS-07-39382. The work of the second and fourth authors was supported in part by the National Science Foundation under Grant No. DMS-10-16332. The work of the third author was supported in part by a KRCF research fellowship for young scientists. The authors would also like to thank Leszek Demkowicz for helpful discussions.

Author information

Authors and Affiliations

  1. Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA, 70803, USA

    Andrew T. Barker, Susanne C. Brenner & Li-Yeng Sung

  2. Division of Computational Mathematics, National Institute for Mathematical Sciences, Daejeon, 305-811, South Korea

    Eun-Hee Park

Authors
  1. Andrew T. Barker
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  2. Susanne C. Brenner
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  3. Eun-Hee Park
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  4. Li-Yeng Sung
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Corresponding author

Correspondence to Susanne C. Brenner .

Editor information

Editors and Affiliations

  1. INRIA, Rennes, France

    Jocelyne Erhel

  2. Section de Mathématiques, Université de Genève, Genève, Switzerland

    Martin J. Gander

  3. Laboratoire Analyse, Géometrie & Applications, Université Paris XIII, Villetaneuse, France

    Laurence Halpern

  4. INRIA, Rennes, France

    Géraldine Pichot

  5. Laboratoire LMNO, Université de Caen, Caen, France

    Taoufik Sassi

  6. New York University Courant Institute, New York, New York, USA

    Olof Widlund

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Barker, A.T., Brenner, S.C., Park, EH., Sung, LY. (2014). A One-Level Additive Schwarz Preconditioner for a Discontinuous Petrov–Galerkin Method. In: Erhel, J., Gander, M., Halpern, L., Pichot, G., Sassi, T., Widlund, O. (eds) Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering, vol 98. Springer, Cham. https://doi.org/10.1007/978-3-319-05789-7_39

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