Stability analysis of finite element methods for the acoustic wave equation with absorbing boundary conditions (part I)

被引：0
|
作者：
Shao, XM [1 ]
Lan, XL [1 ]
机构：
[1] Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 1999年 / 17卷 / 03期
关键词：
stability; finite element methods; wave equation; absorbing boundary conditions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In Part I and Part II of this paper initial-boundary value problems of the acoustic wave equation with absorbing boundary conditions are considered. Their finite element-finite difference computational schemes are proposed. The stability of the schemes is discussed and the corresponding stability conditions are given. Part I and Part II concern the first- and the second-order absorbing boundary conditions, respectively. Finally, numerical results are presented in Part II to show the correctness of theoretical analysis.
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页码：293 / 306
页数：14
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