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Domain Decomposition Algorithms for an Indefinite Hypersingular Integral Equation in Three Dimensions

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Domain Decomposition Methods in Science and Engineering XVII

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

In this paper we report on a non-overlapping and an overlapping domain decomposition method as preconditioners for the boundary element approximation of an indefinite hypersingular integral equation on a surface. The equation arises from an integral reformulation of the Neumann screen problem with the Helmholtz equation in the exterior of a screen in ℝ3.

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References

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Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik, Leibniz Universität Hannover, 30167, Hannover, Germany

    Ernst P. Stephan

  2. BICOM, Brunel University, Uxbridge, UB8 3PH, UK

    Matthias Maischak

  3. School of Mathematics and Statistics, The University of New South Wales, Sydney, 2052, Australia

    Thanh Tran

Authors
  1. Ernst P. Stephan
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  2. Matthias Maischak
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  3. Thanh Tran
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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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Stephan, E.P., Maischak, M., Tran, T. (2008). Domain Decomposition Algorithms for an Indefinite Hypersingular Integral Equation in Three Dimensions. 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_81

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