A fourth-order energy for the three-dimensional wave equation with second-order absorbing boundary conditions

被引：0
|
作者：
Sheen, D [1 ]
Sohn, W
机构：
[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea
[2] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2001年 / 14卷 / 05期
关键词：
higher-order energy; absorbing boundary conditions; wave equation;
D O I：
10.1016/S0893-9659(00)00189-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a fourth-order energy for the three-dimensional wave equation in rectangular domains with second-order absorbing boundary conditions. A decay rate of the energy in the domain with respect to time is estimated in terms of the boundary integral. Absorbing boundary conditions considered in this pager include the treatment of the case of annihilation of obliquely incident waves arriving at the boundary. Numerical results are also shown. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：531 / 537
页数：7
相关论文
共 50 条
  • [1] The Quantization of a Fourth-Order Equation without a Second-Order Lagrangian
    M. C. Nucci
    P. G. L. Leach
    Journal of Nonlinear Mathematical Physics, 2010, 17 : 485 - 490
  • [2] THE QUANTIZATION OF A FOURTH-ORDER EQUATION WITHOUT A SECOND-ORDER LAGRANGIAN
    Nucci, M. C.
    Leach, P. G. L.
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2010, 17 (04) : 485 - 490
  • [3] Absorbing boundary conditions for the three-dimensional vector wave equation
    Ramahi, OM
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1999, 47 (11) : 1735 - 1736
  • [4] A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation
    Zhang, Wensheng
    Jiang, Jiangjun
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 311 : 130 - 147
  • [5] Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation
    Wang, Jiarui
    Liu, Yang
    Wen, Cao
    Li, Hong
    RESULTS IN APPLIED MATHEMATICS, 2022, 14
  • [6] Mathematical analysis of a fourth-order degenerate equation with a nonlinear second-order term
    Kong, Linghua
    Liang, Bo
    Li, Ying
    Wang, Ying
    Wu, Xiaoqin
    JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, 2023, 23 (06) : 3271 - 3281
  • [7] Second-order absorbing boundary conditions for marching-on-in-order scheme
    Shao, Wei
    Wang, Bing-Zhong
    Liu, Xiao-Fei
    IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2006, 16 (05) : 308 - 310
  • [8] A FOURTH-ORDER ACCURATE EMBEDDED BOUNDARY METHOD FOR THE WAVE EQUATION
    Appeloe, Daniel
    Petersson, N. Anders
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2012, 34 (06): : A2982 - A3008
  • [9] A nonlinear fourth-order parabolic equation with nonhomogeneous boundary conditions
    Gualdani, MP
    Jüngel, A
    Toscani, G
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2006, 37 (06) : 1761 - 1779
  • [10] A new fourth-order compact finite difference scheme for the two-dimensional second-order hyperbolic equation
    Ding, Hengfei
    Zhang, Yuxin
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (02) : 626 - 632
12345