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Sparse grids for boundary integral equations
Authors:M Griebel  P Oswald  T Schiekofer
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
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
Keywords:Mathematics Subject Classification (1991):45L10  65N38  65R20  65Y20
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