Non-reflecting boundary conditions for wave propagation problems and their stability analysis

被引：0
|
作者：
Shao, XM [1 ]
机构：
[1] Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
来源：
DYNAMIC SOIL-STRUCTURE INTERACTION: CURRENT RESEARCH IN CHINA AND SWITZERLAND | 1998年 / 83卷
关键词：
D O I：
暂无
中图分类号：
P5 [地质学];
学科分类号：
0709 ; 081803 ;
摘要：
In this paper, a few kinds of non-reflecting boundary conditions are introduced, which have been used for a variety of wave propagation problems, such as acoustic waves, isotropic and anisotropic elastic waves, and waves in fluid saturated porous media. The stability of finite element methods for the acoustic wave equation with non-reflecting boundary conditions is discussed and the corresponding stability conditions are given. Some numerical results are presented to show the correctness of the theoretical analysis and the effectiveness of the boundary conditions suggested by the author of this paper and her cooperator.
引用
收藏
页码：161 / 174
页数：14
相关论文
共 50 条
  • [31] Application of Lagrangian non-reflecting boundary conditions in underwater explosion
    Gong, Xiang-Fei
    Hong, Tao
    Wang, Zheng
    Zhang, Shu-Dao
    Yang, Ji-Ming
    Binggong Xuebao/Acta Armamentarii, 2015, 36 : 60 - 64
  • [32] Numerical Modelling of Wave Propagation in Ground Using Non-Reflecting Boundaries
    Mbawala, S. J.
    Heymann, G.
    Roth, C. P.
    Heyns, P. S.
    PROCEEDINGS OF THE 15TH AFRICAN REGIONAL CONFERENCE ON SOIL MECHANICS AND GEOTECHNICAL ENGINEERING: RESOURCE AND INFRASTRUCTURE GEOTECHNICS IN AFRICA: PUTTING THEORY INTO PRACTICE, 2011, : 644 - 652
  • [33] Non-Reflecting Boundary Condition on Ellipsoidal Boundary
    Barucq, H.
    St-Guirons, A. -G. Dupouy
    Tordeux, S.
    NUMERICAL ANALYSIS AND APPLICATIONS, 2012, 5 (02) : 109 - 115
  • [34] The evaluation of non-reflecting boundary conditions for duct acoustic computation
    Richards, SK
    Zhang, X
    Chen, XX
    Nelson, PA
    JOURNAL OF SOUND AND VIBRATION, 2004, 270 (03) : 539 - 557
  • [35] Implementation of Non-Reflecting Boundary Conditions in the EFES Software Package for Solving Dynamic Contact Problems
    P. A. Radchenko
    S. P. Batuev
    A. V. Radchenko
    Russian Physics Journal, 2024, 67 : 280 - 286
  • [36] Highly accurate non-reflecting boundary conditions for finite element simulations of transient acoustics problems
    Safjan, Andrzej J.
    Computer Methods in Applied Mechanics and Engineering, 1999, 152 (1-2): : 175 - 193
  • [37] Implementation of Non-Reflecting Boundary Conditions in the EFES Software Package for Solving Dynamic Contact Problems
    Radchenko, P. A.
    Batuev, S. P.
    Radchenko, A. V.
    RUSSIAN PHYSICS JOURNAL, 2024, 67 (03) : 280 - 286
  • [38] Non-reflecting boundary conditions for solving Maxwell's equations in waveguides
    Aregba-Driollet, Denise
    Lacoste, Patrick
    Prigent, Corentin
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 466
  • [39] APPLICATION OF THE DYNAMIC FINITE ELEMENT METHOD WITH NON-REFLECTING BOUNDARY FOR THREE DIMENSIONAL WAVE PROPAGATION.
    Suzuki, Takanobu
    Hakuno, Motohiko
    Bulletin of the Earthquake Research Institute, University of Tokyo, 1984, 59 (pt 2): : 327 - 360
  • [40] Highly accurate non-reflecting boundary conditions for finite element simulations of transient acoustics problems
    Safjan, AJ
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 152 (1-2) : 175 - 193
12345