The backward Euler fully discrete finite volume method for the problem of purely longitudinal motion of a homogeneous bar
type: Item
instance of: scholarly article
title: The backward Euler fully discrete finite volume method for the problem of purely longitudinal motion of a homogeneous bar
zbMATH Open document ID: 1325.74158
DOI: 10.1155/2012/475801
author: Ziwen Jiang
author: Deren Xie
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We present a linear backward Euler fully discrete finite volume method for the initial-boundary-value problem of purely longitudinal motion of a homogeneous bar and give an optimal order error estimates in \(L^2\) and \(H^1\) norms. Furthermore, we obtain the superconvergence error estimate of the generalized projection of the solution \(u\) in \(H^1\) norm. Numerical experiment illustrates the convergence and stability of this scheme.
Mathematics Subject Classification ID: 74S10
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6134098
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/475801
OpenAlex ID: W2124365738
Wikidata QID: Q58695278
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description: scientific article; zbMATH DE number 6134098