Sparse grids for boundary integral equations |
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Authors: | M Griebel P Oswald T Schiekofer |
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Institution: | Universit?t Bonn, Institut für Angewandte Mathematik, Wegelerstrasse 6, D-53115 Bonn, Germany, DE Bell Laboratories, Lucent Technologies, 600 Mountain Avenue, Murray Hill, NJ 07974, USA, US
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Abstract: | Summary. The potential of sparse grid discretizations for solving boundary integral equations is studied for the screen problem on
a square in . Theoretical and numerical results on approximation rates, preconditioning, adaptivity and compression for piecewise constant
and linear sparse grid spaces are obtained.
Received March 17, 1998 / Revised version received September 10, 1998 |
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Keywords: | Mathematics Subject Classification (1991):45L10 65N38 65R20 65Y20 |
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