期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
卷 38, 期 30, 页码 6675-6688出版社
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/38/30/004
关键词
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The boundary element method is one of the reliable numerical schemes to solve the eigenvalue problem of the Helmholtz equation, which is justified by the Fredholm theory for domains with a smooth boundary. When a domain has corners, however, the corresponding integral equation is singular, so that the boundary element method lacks its well-established base. Employing a cutoff technique, we here formulate a well-grounded version of the boundary element method, and also give a certain justification to the standard boundary element method even for domains with corners.
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