Parallelized iterative domain decomposition boundary element method for thermoelasticity in piecewise non-homogeneous media

    Authors

    B. Gamez; D. Ojeda; E. Divo; A. Kassab;M. Cerrolaza

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    Abstract

    The boundary element method (BEM) requires only a surface mesh to solve thermoelasticity problems, however, the resulting matrix is fully populated and non-diagonally dominant. Solution of non-homogeneous media by BEM is also problematic due to the lack of a general non-homogeneous fundamental solution. BEM solution of large-scale problems also pose requirements and the solution of large sets of non-symmetric systems of equations. In this article, we propose an effective and efficient iterative domain decomposition, or artificial sub-sectioning technique. along with a region-by-region iteration algorithm particularly tailored for parallel computation to address these issues. The domain decomposition approach effectively reduces the conditions numbers of the resulting algebraic systems. while increasing efficiency of the solution process and decreasing memory requirements. Moreover, file approach lends itself to solving problems with piecewise non-homogeneities. The iterative process converges very efficiently while offering substantial savings in memory. The iterative domain decomposition technique is ideally suited for parallel computation. Results demonstrate the validity of the approach by providing solutions that compare closely to single-region BEM solutions and benchmark analytical solutions. (c) 2008 Elsevier Ltd. All rights reserved.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    32

    Issue/Number

    12

    Publication Date

    1-1-2008

    Document Type

    Article

    First Page

    1061

    Last Page

    1073

    WOS Identifier

    WOS:000261297300009

    ISSN

    0955-7997

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