JournalszaaVol. 11, No. 3pp. 385–396

On a Full Discretization Scheme for a Hypersingular Boundary Integral Equation over Smooth Curves

  • R. Kieser

    Universität Stuttgart, Germany

  • B. Kleemann

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany

  • A. Rathsfeld

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
On a Full Discretization Scheme for a Hypersingular Boundary Integral Equation over Smooth Curves cover
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Abstract

In this paper we consider a quadrature method for a hypersingular integral equation arising from a boundary integral formulation for the Neumann problem in a two-dimensional domain with smooth boundary. We prove that this method is equivalent to the trigonometric.Galerkin method. Consequently, we obtain stability and asymptotic error estimates in the scale of Sobolev spaces. Finally, we present some numerical tests.

Cite this article

R. Kieser, B. Kleemann, A. Rathsfeld, On a Full Discretization Scheme for a Hypersingular Boundary Integral Equation over Smooth Curves. Z. Anal. Anwend. 11 (1992), no. 3, pp. 385–396

DOI 10.4171/ZAA/598