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.
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页码：803 / 819
页数：17
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