A study of a modified scheme of the finite element method in the model problem of a crack
type: Item
instance of: scholarly article
title: A study of a modified scheme of the finite element method in the model problem of a crack
zbMATH Open document ID: 0633.73107
author: I. G. Sterlina
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 1987-01-01T00:00:00Z
review text: The accuracy is studied of two modifications of the method of finite elements on six-point triangles as applied to the mixed problem for Laplace equation in a half-plane. An asymptotic expansion of the mesh solution is constructed showing that the coefficient at the principal term of the asymptotic expansion of the error is reduced by a factor of 8.5 and 16.5 for the two modifications studied, respectively, as compared with the unmodified case, even though the accuracy of the method remains at the level of O(h/\(\sqrt{r})\).
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 4031195
zbMATH Keywords: six-point triangles
zbMATH Keywords: mixed problem
zbMATH Keywords: Laplace equation
zbMATH Keywords: half-plane
zbMATH Keywords: asymptotic expansion
MaRDI profile type: Publication
Recommended article: Examination of the finite-element method in the model problem of a crack
Recommended article: Crack models based on the extended finite element method
Recommended article: A finite element method for cohesive crack modelling
Recommended article: A new method for modelling cohesive cracks using finite elements
Recommended article: A finite element method for the computational modelling of cohesive cracks
Recommended article: Q3131150
Recommended article: MODIFIED DUALITY SCHEME FOR SOLVING MODEL CRACK PROBLEM IN MECHANICS
Recommended article: Finite Element Modelling of Cracks Based on the Partition of Unity Method
Recommended article: A modified dual scheme for solving an elastic crack problem
Recommended article: Modeling mixed-mode dynamic crack propagation using finite elements: Theory and applications
description: scientific article; zbMATH DE number 4031195