Transformation of hypersingular integrals and black-box cubature-Reference-Cited by-同舟云学术

Transformation of hypersingular integrals and black-box cubature

Published:2000-06-12 Issue:233 Volume:70 Page:223-250
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Sauter S.,Lage C.

Abstract

In this paper, we will consider hypersingular integrals as they arise by transforming elliptic boundary value problems into boundary integral equations. First, local representations of these integrals will be derived. These representations contain so-called finite-part integrals. In the second step, these integrals are reformulated as improper integrals. We will show that these integrals can be treated by cubature methods for weakly singular integrals as they exist in the literature.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2001-70-233/S0025-5718-00-01261-8/S0025-5718-00-01261-8.pdf

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