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

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	Stability analysis of finite element methods for the acoustic wave equation with absorbing boundary conditions (part I)
	Shao, XM; Lan, XL
	1999-05-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	17 期号:3 页码:293-306
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.
关键词	stability finite element methods wave equation absorbing boundary conditions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000080599400007
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14469
专题	中国科学院数学与系统科学研究院
作者单位	Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Shao, XM,Lan, XL. Stability analysis of finite element methods for the acoustic wave equation with absorbing boundary conditions (part I)[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1999,17(3):293-306.
APA	Shao, XM,&Lan, XL.(1999).Stability analysis of finite element methods for the acoustic wave equation with absorbing boundary conditions (part I).JOURNAL OF COMPUTATIONAL MATHEMATICS,17(3),293-306.
MLA	Shao, XM,et al."Stability analysis of finite element methods for the acoustic wave equation with absorbing boundary conditions (part I)".JOURNAL OF COMPUTATIONAL MATHEMATICS 17.3(1999):293-306.