Exact nonreflecting boundary condition for elastic waves

Authors
Grote, MJ Keller, JB
Citation
Mj. Grote et Jb. Keller, Exact nonreflecting boundary condition for elastic waves, SIAM J A MA, 60(3), 2000, pp. 803-819
Citations number
30
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN journal
00361399 → ACNP
Volume
60
Issue
3
Year of publication
2000
Pages
803 - 819
Database
ISI
SICI code
0036-1399(20000321)60:3<803:ENBCFE>2.0.ZU;2-Q
Abstract
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.