An improved boundary element Galerkin method for three-dimensional crack problems
type: Item
instance of: scholarly article
title: An improved boundary element Galerkin method for three-dimensional crack problems
zbMATH Open document ID: 0632.73091
DOI: 10.1007/BF01201149
author: Martin Costabel
author: Ernst P. Stephan
published in: Integral Equations and Operator Theory
publication date: 1987-01-01T00:00:00Z
review text: The paper addresses the solution of three-dimensional linear elasticity crack problems by a Galerkin boundary element formulation. Existence and uniqueness are discussed and special singular trial functions are defined to improve the prediction of the stress intensity factors. Convergence of the method is shown, including asymptotic error estimates.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E99
zbMATH DE Number: 4029069
zbMATH Keywords: sharp regularity results
zbMATH Keywords: pseudodifferential equations
zbMATH Keywords: two versions of Eskin's Wiener-Hopf technique
zbMATH Keywords: factorization of matrix-valued symbols
zbMATH Keywords: approximation property
zbMATH Keywords: inverse assumption
zbMATH Keywords: duality arguments
zbMATH Keywords: quasi- optimal asymptotic error estimates
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: three-dimensional linear elasticity
zbMATH Keywords: Galerkin boundary element formulation
zbMATH Keywords: Existence
zbMATH Keywords: uniqueness
zbMATH Keywords: special singular trial functions
zbMATH Keywords: prediction
zbMATH Keywords: stress intensity factors
zbMATH Keywords: Convergence
reviewed by: J. C. F. Telles
MaRDI profile type: Publication
cites work: Boundary problems for pseudo-differential operators
cites work: Duality estimates for the numerical solution of integral equations
cites work: Q3907885
cites work: Zur Konvergenz von Näherungsverfahren bezüglich verschiedener Normen. (On convergence of approximation methods with respect to various norms)
cites work: A boundary integral equation method for three‐dimensional crack problems in elasticity
cites work: Q4114232
full work available at URL: https://doi.org/10.1007/bf01201149
OpenAlex ID: W2049104654
description: scientific article; zbMATH DE number 4029069