Examination of the finite-element method in the model problem of a crack
type: Item
instance of: scholarly article
title: Examination of the finite-element method in the model problem of a crack
zbMATH Open document ID: 0603.73080
author: I. G. Sterlina
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 1985-01-01T00:00:00Z
review text: The author examines the accuracy of the finite-element method on triangular elements with six nodes and quadratic basis functions, using the example of the model problem of a crack. Asymptotic expansions of the solution are constructed with respect to various types of nodes, and it is shown that the accuracy of the method is O(h/\(\sqrt{r})\), where r is the distance from the vertex of the crack.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 35C15
zbMATH DE Number: 3974465
zbMATH Keywords: Laplace equation
zbMATH Keywords: continuous solution
zbMATH Keywords: accuracy
zbMATH Keywords: triangular elements
zbMATH Keywords: six nodes
zbMATH Keywords: quadratic basis functions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3974465