A Galerkin boundary contour method for two-dimensional linear elasticity
type: Item
instance of: scholarly article
title: A Galerkin boundary contour method for two-dimensional linear elasticity
zbMATH Open document ID: 0948.74072
published in: Computational Mechanics
publication date: 2000-11-01T00:00:00Z
review text: The Boundary Contour Method (BCM) is a boundary integral equation method proposed for two-dimensional linear elasticity theory by \textit{A. Nagarajan, S. Mukherjee} and \textit{E. Lutz} [J. Appl. Mech. 63, No. 2, 278-286 (1996; Zbl 0879.73079)]. This method can be considered as a variant of the Boundary Element Method (BEM). Here the authors propose a variational version of BCM simular to Galerkin-symmetric BEM for two-dimensional linear elasticity problems. The numerical integration is not used: all double line-integrals over boundary elements pairs can be evaluated by generating appropriate potential functions in closed form, and by computing their values at the element end-points. The numerical results, for three problems for which analytical solutions are available, are presented.
reviewed by: Nikolai Pleshchinskii
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 1342693
zbMATH Keywords: boundary element method
zbMATH Keywords: symmetric Galerkin method
zbMATH Keywords: linear elasticity theory
author: Giorgio Novati
author: Roberta Springhetti
MaRDI profile type: Publication
full work available at URL: s004660050385
OpenAlex ID: W2055716655
DOI: 10.1007/S004660050385
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description: scientific article; zbMATH DE number 1342693