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Linear Equations Solver for Large Block Matrices Arising in BEM

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Mathematical and Computational Aspects

Part of the book series: Boundary Elements IX ((BOUNDARY,volume 9/1))

Abstract

Matrices arising in BEM applied to piecewise homogenous media are of specific block structure. The simplest method of solving such sets of equations is to use one of the known iteration schemes. This approach enables one to take advantage of the sparsity of the matrix but the number of operations required is usually large and perhaps worse unpredictable. For that reason iterative solvers are seldom installed in existing BEM codes.

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References

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Author information

Authors and Affiliations

  1. Institute of Thermal Technology, Silesian Technical University, Gliwice, Poland

    R. Bialecki

  2. Chair of Thermodynamics, Technical University of Lódź, Branch at Bielsko-Biala, Poland

    R. Nahlik

Authors
  1. R. Bialecki
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  2. R. Nahlik
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Editor information

C. A. Brebbia W. L. Wendland G. Kuhn

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© 1987 Springer-Verlag Berlin Heidelberg

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Bialecki, R., Nahlik, R. (1987). Linear Equations Solver for Large Block Matrices Arising in BEM. In: Brebbia, C.A., Wendland, W.L., Kuhn, G. (eds) Mathematical and Computational Aspects. Boundary Elements IX, vol 9/1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21908-9_32

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  • DOI: https://doi.org/10.1007/978-3-662-21908-9_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-21910-2

  • Online ISBN: 978-3-662-21908-9

  • eBook Packages: Springer Book Archive

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