Regularization of strongly singular integrals in boundary integral equations

被引：0
|
作者：
Amini, S
Maines, ND
机构：
来源：
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 1996年 / 12卷 / 11期
关键词：
regularization; boundary integral equations; hypersingular integrals; Hadamard finite part;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
引用
收藏
页码：787 / 793
页数：7
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