JournalszaaVol. 12, No. 4pp. 699–707

Quadrature and Collocation Methods for the Double Layer Potential on Polygons

  • Martin Costabel

    Université de Rennes I, Rennes, France
  • V.J. Ervin

    Clemson University, USA
  • Ernst Peter Stephan

    Leibniz Universität Hannover, Germany
Quadrature and Collocation Methods for the Double Layer Potential on Polygons cover
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Abstract

This paper is concerned with approximation methods for Neumanns integral equation on curves with corners. Necessary and sufficient conditions for the stability of the piecewise constant c-collocation and for the quadrature method, using the rectangular rule, are given.

Cite this article

Martin Costabel, V.J. Ervin, Ernst Peter Stephan, Quadrature and Collocation Methods for the Double Layer Potential on Polygons. Z. Anal. Anwend. 12 (1993), no. 4, pp. 699–707

DOI 10.4171/ZAA/536