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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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