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Regularization of strongly singular integrals in boundary integral equations

✍ Scribed by Amini, S. ;Maines, N. D.

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
357 KB
Volume
12
Category
Article
ISSN
1069-8299

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✦ Synopsis

Strongly singular integrals which are unbounded in the sense of Lebesgue appear naturally in boundary integral equations. Extending the analytic continuation method we derive finite part values for a class of singular integrals which arise frequently in practice. In connection with boundary integral operators we derive restrictions on the minimum smoothness of the density functions for the validity of the finite part results. Examples of applications of the results to boundary integral equations in potential theory are presented.

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