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On The Asymptotic Convergence of Boundary Integral Methods

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Boundary Element Methods

Part of the book series: Boundary Elements ((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.

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Author information

Authors and Affiliations

  1. Technische Hochschule Darmstadt, Germany

    W. L. Wendland

  2. University Of Delaware, Newark, Del., 19711, USA

    W. L. Wendland

Authors
  1. W. L. Wendland
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Editor information

Editors and Affiliations

  1. Computational Mechanical Centre, 125 High Street, Southampton, England, SO1 0AA

    Carlos A. Brebbia

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© 1981 Springer-Verlag Berlin Heidelberg

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Wendland, W.L. (1981). On The Asymptotic Convergence of Boundary Integral Methods. In: Brebbia, C.A. (eds) Boundary Element Methods. Boundary Elements, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11270-0_26

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  • DOI: https://doi.org/10.1007/978-3-662-11270-0_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-11272-4

  • Online ISBN: 978-3-662-11270-0

  • eBook Packages: Springer Book Archive

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