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Class of Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems

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Book cover Domain Decomposition Methods in Science and Engineering XVII

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 60))

We present a class of Schwarz preconditioners for discontinuous Galerkin approximations of elliptic problems. We provide a unified framework for the construction and analysis of two-level methods which share the features of the classical Schwarz techniques for conforming finite element discretizations. Numerical experiments confirming the theoretical results are also included.

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References

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pavia, via Ferrata 7, 27100, Pavia, Italy

    Paola F. Antonietti

  2. Istituto di Matematica Applicata e Tecnologie Informatiche—CNR, via Ferrata 7, 27100, Pavia, Italy

    Blanca Ayuso

Authors
  1. Paola F. Antonietti
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  2. Blanca Ayuso
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Editor information

Editors and Affiliations

  1. Institute of Computational Mathematics, Johannes Kepler University Linz, Altenbergerstr. 69, 4040, Linz, Austria

    Ulrich Langer  & Walter Zulehner  & 

  2. Institute of Analysis and Scientific Computing — CMCS, Ecole Polytechnique Fédérale de Lausanne EPFL SB IACS CMCS Bâtiment MA, Station 8, 1015, Lausanne, Switzerland

    Marco Discacciati

  3. Department of Applied Physics and Applied Mathematics, Columbia University, 500 W. 120th Street, MC 4701, 10027, New York, NY, USA

    David E. Keyes

  4. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012-1185, USA

    Olof B. Widlund

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© 2008 Springer-Verlag Berlin Heidelberg

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Antonietti, P.F., Ayuso, B. (2008). Class of Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems. In: Langer, U., Discacciati, M., Keyes, D.E., Widlund, O.B., Zulehner, W. (eds) Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75199-1_19

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