Error Estimates for Semi-Discrete and Fully Discrete Galerkin Finite Element Approximations of the General Linear Second-Order Hyperbolic Equation

被引：7

作者：

Basson, M. ^{[1
]}

Stapelberg, B. ^{[1
]}

van Rensburg, N. F. J. ^{[1
]}

机构：

[1] Univ Pretoria, Dept Math & Appl Math, Pretoria, South Africa

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2017年 / 38卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Damped vibration; error estimates; finite elements; Galerkin approximation; second-order hyperbolic equation; 65M60; 65M15; BOUNDARY-CONDITIONS; WAVE-EQUATION; BEAM;

D O I：

10.1080/01630563.2016.1254655

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we derive error estimates for the semi-discrete and fully discrete Galerkin approximations of a general linear second-order hyperbolic partial differential equation with general damping (which includes boundary damping). The results can be applied to a variety of cases (e.g. vibrating systems of linked elastic bodies). The results generalize pioneering work of Dupont and complement a recent article by Basson and Van Rensburg.

引用

页码：466 / 485

页数：20

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