Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions

Citation
Hd. Han et al., Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions, NUMER MATH, 85(3), 2000, pp. 367-386
Citations number
17
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
85
Issue
3
Year of publication
2000
Pages
367 - 386
Database
ISI
SICI code
0029-599X(200005)85:3<367:AOABCF>2.0.ZU;2-Q
Abstract
Simple boundary conditions on an artificial boundary are discussed, then an exact boundary condition on the artificial boundary is obtained. Approxima tion to this boundary condition with high accuracy is given, and the error estimates are obtained. A numerical example is presented, and the numerical results are compared with the exact solution.