On The Asymptotic Convergence of Boundary Integral Methods

  • W. L. Wendland
Conference paper
Part of the Boundary Elements book series (BOUNDARY, volume 3)

Abstract

The numerical treatment and corresponding error analysis of boundary integral equations hinges on the type of discretization due to the shape and type of trial functions used for the approximation of the unknown functions, due to the type of test functionals replacing the integral equations — which hold everywhere on the boundary — by a finite number of equations and due to the numerical integration. In reality further errors accumulate from round off effects. Here we are concerned with an error analysis which only takes into account the effects of the first three kinds. Since it seems to be a too pretentious task to find computable error bounds we consider so called asymptotic estimates.

Keywords

Integral Equation Boundary Element Method Collocation Method Singular Integral Equation Boundary Integral Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • W. L. Wendland
    • 1
    • 2
  1. 1.Technische Hochschule DarmstadtGermany
  2. 2.University Of DelawareNewarkUSA

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