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Error analysis of boundary integral methods

Published online by Cambridge University Press:  07 November 2008

Ian H. Sloan
Ian H. Sloan
Affiliation:
School of MathematicsUniversity of New South WalesSydney, NSW 2033Australia, E-mail: sloan@hydra.maths.unsw.oz.au
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Extract

Many of the boundary value problems traditionally cast as partial differential equations can be reformulated as integral equations over the boundary. After an introduction to boundary integral equations, this review describes some of the methods which have been proposed for their approximate solution. It discusses, as simply as possible, some of the techniques used in their error analysis, and points to areas in which the theory is still unsatisfactory.

Type
Research Article
Information
Acta Numerica , Volume 1 , January 1992 , pp. 287 - 339
Copyright
Copyright © Cambridge University Press 1992

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