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Zeitschrift für Analysis und ihre Anwendungen


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Volume 12, Issue 4, 1993, pp. 699–707
DOI: 10.4171/ZAA/536

Published online: 1993-12-31

Quadrature and Collocation Methods for the Double Layer Potential on Polygons

Martin Costabel[1], V.J. Ervin[2] and Ernst Peter Stephan[3]

(1) Université de Rennes I, Rennes, France
(2) Clemson University, USA
(3) Leibniz Universität Hannover, Germany

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.

Keywords: Neumann integral equation, polygonal domains, quadrature and collocation methods

Costabel Martin, Ervin V.J., Stephan Ernst Peter: Quadrature and Collocation Methods for the Double Layer Potential on Polygons. Z. Anal. Anwend. 12 (1993), 699-707. doi: 10.4171/ZAA/536