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.
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页码：105 / 119
页数：15
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