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Sparse grids for boundary integral equations

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Summary.

The potential of sparse grid discretizations for solving boundary integral equations is studied for the screen problem on a square in \(\mathbb{R}^3\). Theoretical and numerical results on approximation rates, preconditioning, adaptivity and compression for piecewise constant and linear sparse grid spaces are obtained.

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Authors and Affiliations

  1. Universität Bonn, Institut für Angewandte Mathematik, Wegelerstrasse 6, D-53115 Bonn, Germany , , , , , , DE

    M. Griebel & T. Schiekofer

  2. Bell Laboratories, Lucent Technologies, 600 Mountain Avenue, Murray Hill, NJ 07974, USA , , , , , , US

    P. Oswald

Authors
  1. M. Griebel
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  2. P. Oswald
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  3. T. Schiekofer
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Additional information

Received March 17, 1998 / Revised version received September 10, 1998

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Griebel, M., Oswald, P. & Schiekofer, T. Sparse grids for boundary integral equations. Numer. Math. 83, 279–312 (1999). https://doi.org/10.1007/s002110050450

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  • DOI: https://doi.org/10.1007/s002110050450

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