REGULARIZATION OF STRONGLY SINGULAR-INTEGRALS IN BOUNDARY INTEGRAL-EQUATIONS

Authors
AMINI S MAINES ND
Citation
S. Amini et Nd. Maines, REGULARIZATION OF STRONGLY SINGULAR-INTEGRALS IN BOUNDARY INTEGRAL-EQUATIONS, Communications in numerical methods in engineering, 12(11), 1996, pp. 787-793
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
12
Issue
11
Year of publication
1996
Pages
787 - 793
Database
ISI
SICI code
1069-8299(1996)12:11<787:ROSSIB>2.0.ZU;2-#
Abstract
Strongly singular integrals which are unbounded in the sense of Lebesg ue appear naturally in boundary integral equations. Extending the anal ytic continuation method we derive finite part values for a class of s ingular integrals which arise frequently in practice. In connection wi th boundary integral operators we derive restrictions on the minimum s moothness 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.