A finite element method for equations of one-dimensional nonlinear thermoelasticity
type: Item
instance of: scholarly article
title: A finite element method for equations of one-dimensional nonlinear thermoelasticity
zbMATH Open document ID: 0645.73010
DOI: 10.1016/0377-0427(88)90383-4
author: B. George
published in: Journal of Computational and Applied Mathematics
publication date: 1988-01-01T00:00:00Z
review text: A new coupled numerical scheme for the equations of one-dimensional nonlinear thermoelasticity is proposed by using the finite element method in the space variable and the difference method in the time variable. The existence and the uniqueness of the approximate solutions are proved, and the bounds of the error are analyzed.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 4053116
zbMATH Keywords: error bounds
zbMATH Keywords: system of linear algebraic equations
zbMATH Keywords: numerical scheme
zbMATH Keywords: one-dimensional nonlinear thermoelasticity
zbMATH Keywords: finite element method in the space variable
zbMATH Keywords: difference method in the time variable
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
reviewed by: Violeta A. Kostova
MaRDI profile type: Publication
full work available at URL: 0377-0427(88)90383-4
OpenAlex ID: W2027141754
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description: scientific article; zbMATH DE number 4053116