Numerische Mathematik

, Volume 83, Issue 2, pp 279–312

Sparse grids for boundary integral equations

Authors

  • M. Griebel
    • Universität Bonn, Institut für Angewandte Mathematik, Wegelerstrasse 6, D-53115 Bonn, Germany
  • P. Oswald
    • Bell Laboratories, Lucent Technologies, 600 Mountain Avenue, Murray Hill, NJ 07974, USA
  • T. Schiekofer
    • Universität Bonn, Institut für Angewandte Mathematik, Wegelerstrasse 6, D-53115 Bonn, Germany
Original article

DOI: 10.1007/s002110050450

Cite this article as:
Griebel, M., Oswald, P. & Schiekofer, T. Numer. Math. (1999) 83: 279. doi:10.1007/s002110050450

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.

Mathematics Subject Classification (1991):45L10, 65N38, 65R20, 65Y20

Copyright information

© Springer-Verlag Berlin Heidelberg 1999