On the behavior over long time intervals of finite difference and finite element approximations to first order hyperbolic systems
type: Item
instance of: scholarly article
title: On the behavior over long time intervals of finite difference and finite element approximations to first order hyperbolic systems
zbMATH Open document ID: 0578.65116
DOI: 10.1016/0898-1221(85)90140-3
publication date: 1985-01-01T00:00:00Z
review text: Three results are reported. 1) Error estimates for the interval \(0\leq t<\infty\) for difference approximations to the Cauchy problem for a linear hyperbolic dissipative in some sense system are given. 2) Error estimates for difference approximations to a linear hyperbolic conservative system with a local dissipation property are given. 3) The convergence of the Galerkin method approximation to the solution of a semilinear hyperbolic dissipative system for some type of initial boundary value problems is proved.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35L45
Mathematics Subject Classification ID: 35L60
zbMATH DE Number: 3926172
zbMATH Keywords: dissipative system
zbMATH Keywords: finite-element
zbMATH Keywords: conservative system
zbMATH Keywords: convergence
zbMATH Keywords: Galerkin method
author: William Layton
reviewed by: Yuri I. Shokin
MaRDI profile type: Publication
full work available at URL: 0898-1221(85)90140-3
OpenAlex ID: W2007927188
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 3926172