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.

引用

页码：293 / 306

页数：14

共 50 条

[1] STABILITY ANALYSIS OF FINITE ELEMENT METHODS FORTHE ACOUSTIC WAVE EQUATION WITH ABSORBINGBOUNDARY CONDITIONS (PART I)
Xiu-min Shao
Zhi-ling Lan(Institute of Mathematics
JournalofComputationalMathematics, 1999, (03) : 293 - 306
[2] STABILITY FOR IMPOSING ABSORBING BOUNDARY CONDITIONS IN THE FINITE ELEMENT SIMULATION OF ACOUSTIC WAVE PROPAGATION
Zhang, Wensheng
Chung, Eric T.
Wang, Chaowei
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2014, 32 (01) : 1 - 20
[3] Finite element simulation of acoustic wave with absorbing boundary conditions
Zhang, W. (zws@lsec.cc.ac.cn), 1600, Advanced Institute of Convergence Information Technology, Myoungbo Bldg 3F,, Bumin-dong 1-ga, Seo-gu, Busan, 602-816, Korea, Republic of (04): : 626 - 634
[4] THE MULTIDIMENSIONAL WAVE EQUATION WITH GENERALIZED ACOUSTIC BOUNDARY CONDITIONS I: STRONG STABILITY
Abbas, Z.
Nicaise, S.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2015, 53 (04) : 2558 - 2581
[5] Mathematical analysis of absorbing boundary conditions for the wave equation: The corner problem
Vacus, O
MATHEMATICS OF COMPUTATION, 2005, 74 (249) : 177 - 200
[6] Finite Element θ-Schemes for the Acoustic Wave Equation
Karaa, Samir
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2011, 3 (02) : 181 - 203
[7] Stability for the wave equation on hyperbolic space with acoustic boundary conditions
Carriao, Paulo Cesar
Vicente, Andre
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2025, 76 (02):
[8] THE MULTIDIMENSIONAL WAVE EQUATION WITH GENERALIZED ACOUSTIC BOUNDARY CONDITIONS II: POLYNOMIAL STABILITY
Abbas, Z.
Nicaise, S.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2015, 53 (04) : 2582 - 2607
[9] Absorbing boundary conditions for the fractional wave equation
Dea, John R.
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (18) : 9810 - 9820
[10] Self-adapting absorbing boundary conditions for the wave equation
Shevchenko, I.
Wohlmuth, B.
WAVE MOTION, 2012, 49 (04) : 461 - 473

← 1 2 3 4 5 →