Hypersingular boundary integral equations have an additional free term
type: Item
instance of: scholarly article
title: Hypersingular boundary integral equations have an additional free term
zbMATH Open document ID: 0840.65117
DOI: 10.1007/BF00369869
published in: Computational Mechanics
publication date: 1996-06-30T00:00:00Z
review text: The paper is devoted to the boundary element method based on the hypersingular formulation. In such a case boundary integral equations have hypersingular kernels. Generally, free terms arise in boundary integral equations when the source (collocation) point is located at a non-smooth boundary point. Free terms for the hypersingular case were considered by several researchers. It was overlooked that in some particular case (typically corner points between curved boundaries) some additional free terms may arise. In this paper it is shown that hypersingular boundary integral equations may have an additional free term which has been erroneously omitted in former analyses.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 797298
zbMATH Keywords: collocation
zbMATH Keywords: boundary element method
zbMATH Keywords: hypersingular boundary integral equations
author: M. Guiggiani
reviewed by: T. Burczynski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 797298