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
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