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Advanced Boundary Element Methods

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Abstract

The BEM is well established for the solution of linear elliptic boundary value problems. Its essential feature is the reduction of the partial differential equation in the domain to an integral equation on the surface. Then, for the numerical treatment, only the surface has to be discretized. This leads to a comparatively small number of unknowns. It is possible to solve problems in unbounded domains. In contrast, the FEM requires a discretization of the domain. However, when dealing with nonlinear problems, the latter method is more versatile. Typical examples for which the coupling of both methods is advantageous are rubber sealings and bearings that are located between construction elements made of steel, concrete, or glass. For these elements, linear elasticity often is a sufficient model, and the BEM is favorable.

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Authors and Affiliations

  1. Fakultät für Luft- und Raumfahrttechnik, Universität der Bundeswehr München, Neubiberg/München, Germany

    Joachim Gwinner

  2. Institut für Angewandte Mathematik, Leibniz Universität Hannover, Hannover, Germany

    Ernst Peter Stephan

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  1. Joachim Gwinner
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  2. Ernst Peter Stephan
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Gwinner, J., Stephan, E.P. (2018). FEM-BEM Coupling. In: Advanced Boundary Element Methods. Springer Series in Computational Mathematics, vol 52. Springer, Cham. https://doi.org/10.1007/978-3-319-92001-6_12

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