The hypersingular boundary contour method for two-dimensional linear elasticity
type: Item
instance of: scholarly article
title: The hypersingular boundary contour method for two-dimensional linear elasticity
zbMATH Open document ID: 0923.73008
DOI: 10.1007/BF01184312
author: S. Mukherjee
author: A.-V. Phan
author: J. R. René Mayer
published in: Acta Mechanica
publication date: 1999-10-31T00:00:00Z
review text: This paper presents a novel hypersingular boundary contour method (HBCM) for two-dimensional linear elastostatics. This method can be considered as a variant of the standard boundary element method (BEM) and the boundary countour method (BCM) because: (a) a regularized form of the hypersingular boundary integral equation is employed as the starting point, and (b) the above regularized form is then converted to a boundary contour version based on the divergence-free property of its integrand. Therefore, as in the two-dimensional BCM, numerical integrations are totally eliminated in the two-dimensional HBCM. The authors present a theoretical development of this method. Selected examples are included, and the numerical results obtained are uniformly accurate.
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74S15
zbMATH DE Number: 1235039
zbMATH Keywords: regularized form of hypersingular boundary integral equation
zbMATH Keywords: elastostatics
zbMATH Keywords: boundary countour method
zbMATH Keywords: divergence-free property
reviewed by: Eugeni Syrkin
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01184312
OpenAlex ID: W2021351743
description: scientific article; zbMATH DE number 1235039