Exact nonreflecting boundary condition for elastic waves

被引：58
|
作者：
Grote, MJ [1 ]
Keller, JB
机构：
[1] Swiss Fed Inst Technol, Dept Math, CH-8092 Zurich, Switzerland
[2] Stanford Univ, Dept Math, Stanford, CA 94305 USA
[3] Stanford Univ, Dept Mech Engn, Stanford, CA 94305 USA
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2000年 / 60卷 / 03期
关键词：
elastic waves; wave propagation; nonreflecting boundary conditions; absorbing boundary conditions; scattering theory;
D O I：
10.1137/S0036139998344222
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An exact nonreflecting boundary condition is derived for the time-dependent elastic wave equation in three space dimensions. This condition holds on a spherical surface B, outside of which the medium is assumed to be linear, homogeneous, isotropic, and source-free. It is local in time, nonlocal on B, and involves only first derivatives of the solution. Therefore it can be combined easily with any numerical method in the interior region.
引用
收藏
页码：803 / 819
页数：17
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