Numerische Mathematik

, Volume 83, Issue 2, pp 279–312

Sparse grids for boundary integral equations

  • M. Griebel
  • P. Oswald
  • T. Schiekofer
Original article

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 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • M. Griebel
    • 1
  • P. Oswald
    • 2
  • T. Schiekofer
    • 1
  1. 1. Universität Bonn, Institut für Angewandte Mathematik, Wegelerstrasse 6, D-53115 Bonn, Germany DE
  2. 2. Bell Laboratories, Lucent Technologies, 600 Mountain Avenue, Murray Hill, NJ 07974, USA US

Personalised recommendations