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Qualocation methods for elliptic boundary integral equations

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Summary.

The qualocation methods developed in this paper, with spline trial and test spaces, are suitable for classes of boundary integral equations with convolutional principal part, on smooth closed curves in the plane. Some of the methods are suitable for all strongly elliptic equations; that is, for equations in which the even symbol part of the operator dominates. Other methods are suitable when the odd part dominates.

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Authors and Affiliations

  1. School of Mathematics, University of New South Wales, Sydney 2052, Australia; e-mail: I.Sloan@unsw.edu.au , , , , , , AU

    Ian H. Sloan

  2. Universität Stuttgart, Mathematisches Institut A, Lehrstuhl 6, Pfaffenwaldring 57, D–70550 Stuttgart, Germany , , , , , , DE

    W.L. Wendland

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  1. Ian H. Sloan
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  2. W.L. Wendland
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Received December 27, 1996 / Revised version received April 14, 1997

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Sloan, I., Wendland, W. Qualocation methods for elliptic boundary integral equations. Numer. Math. 79, 451–483 (1998). https://doi.org/10.1007/s002110050347

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  • DOI: https://doi.org/10.1007/s002110050347

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