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Robust Boundary Element Domain Decomposition Solvers in Acoustics

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Domain Decomposition Methods in Science and Engineering XIX

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 78))

Summary

A stable boundary element tearing and interconnecting domain decomposition method is considered for the parallel solution of the Helmholtz equation. In particular, we discuss the preconditioned iterative solution of the resulting linear system and present some numerical results.

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Bibliography

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Acknowledgments

This work was supported by the Austrian Science Fund (FWF) within the project Data sparse boundary and finite element domain decomposition methods in electromagnetics under the grant P19255.

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Authors and Affiliations

  1. Institute of Computational Mathematics, TU Graz, A 8010, Graz, Austria

    Olaf Steinbach & Markus Windisch

Authors
  1. Olaf Steinbach
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  2. Markus Windisch
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Corresponding author

Correspondence to Olaf Steinbach .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, Xiangtan University, Xiangtan, 411105, China, People's Republic

    Yunqing Huang

  2. FB Mathematik und Informatik, Freie Universität Berlin, Arnimallee 6, Berlin, 14195, Berlin, Germany

    Ralf Kornhuber

  3. Department of Mathematics, Courant Institute of Math. Sciences, New York University, Mercer St. 251, New York, 10012, New York, USA

    Olof Widlund

  4. Eberly College of Science, Dept. Mathematics, Pennsylvania State University, University Park, 16802, Pennsylvania, USA

    Jinchao Xu

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© 2011 Springer-Verlag Berlin Heidelberg

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Steinbach, O., Windisch, M. (2011). Robust Boundary Element Domain Decomposition Solvers in Acoustics. In: Huang, Y., Kornhuber, R., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11304-8_31

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