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On Multigrid Methods of the First Kind for Symmetric Boundary Integral Equations of Nonnegative Order

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Robust Multi-Grid Methods

Part of the book series: Notes on Numerical Fluid Mechanics ((NNFM,volume 23))

Summary

Multigrid methods of the first kind are applied for solving iteratively some Symmetric algebraic Systems that oeeur in the numerical treatment of Symmetrie and strongly elliptic boundary integral eguations of nonnegative order. Using a damped Jacobi relaxation scheine, the iterative method proves to be unconditionally convergent in case of smooth boundaries and, moreover, convergent for a sufficiently large number of smoothing steps in case of general Lipschitz boundaries. As a numerical example, the Neumann problem of the Laplacean is treated by the “first kind” boundary element approach.

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Authors and Affiliations

  1. Fachbereich Mathematik, THD, Schloßgartenstraße 7, D-6100, Darmstadt, Germany

    F. K. Hebeker

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  1. F. K. Hebeker
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Wolfgang Hackbusch

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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Hebeker, F.K. (1989). On Multigrid Methods of the First Kind for Symmetric Boundary Integral Equations of Nonnegative Order. In: Hackbusch, W. (eds) Robust Multi-Grid Methods. Notes on Numerical Fluid Mechanics, vol 23. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86200-6_11

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  • DOI: https://doi.org/10.1007/978-3-322-86200-6_11

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08097-6

  • Online ISBN: 978-3-322-86200-6

  • eBook Packages: Springer Book Archive

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