Mixed finite element method for a strongly damped wave equation

被引：0

作者：

Pani, AK ^{[1
]}

Yuan, JY

机构：

[1] Indian Inst Technol, Dept Math, Bombay 400076, Maharashtra, India

[2] Univ Fed Parana, Dept Math, Ctr Politecn, BR-81531990 Curitiba, Parana, Brazil

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2001年 / 17卷 / 02期

关键词：

D O I：

10.1002/1098-2426(200103)17:2<105::AID-NUM2>3.0.CO;2-F

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mixed finite element Galerkin method is analyzed for a strongly damped wave equation. Optimal error estimates in L-2-norm for the velocity and stress art: derived using usual energy argument, while those for displacement are based on the nonstandard energy formulation of Baker. Both a semi-discrete scheme and a second-order implicit-time discretization method are discussed, and it is shown that the results are valid for all t > 0. (C) 2001 John Wiley & Sons. Inc.

引用

页码：105 / 119

页数：15

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