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h -adaptive boundary element schemes

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Abstract 

We consider an h-adaptive algorithm for the boundary element method applied to two integral equations of the first kind on polygons, namely Symm’ integral equation and the hypersingular equation with the normal derivative of the double layer potential. Our reliable and operative algorithm is based on new a posteriori estimates for the boundary element Galerkin solution. Numerical experiments show the effectivity of the algorithm.

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Authors and Affiliations

  1. Department of Mathematics, Heriot-Watt University, Edinburgh EH4 14AS,UK., , , , , , GB

    C. Carstensen

  2. School of Mathematics, Georgia Institute of Technology, Atlanta, Ga 30332, , , , , , GE

    D. Estep

  3. Institut für Angewandte Mathematik, UNIHannover, Welfengarten 1, D-30167 Hannover, Germany, , , , , , DE

    E. P. Stephan

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  1. C. Carstensen
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  2. E. P. Stephan
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  3. D. Estep
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Carstensen, C., Stephan, E. & Estep, D. h -adaptive boundary element schemes. Computational Mechanics 15, 372–383 (1995). https://doi.org/10.1007/s004660050027

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  • DOI: https://doi.org/10.1007/s004660050027

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