SOLUTION OF UNBOUNDED DOMAIN PROBLEMS USING ELLIPTIC ARTIFICIAL BOUNDARIES

Authors
BENPORAT G GIVOLI D
Citation
G. Benporat et D. Givoli, SOLUTION OF UNBOUNDED DOMAIN PROBLEMS USING ELLIPTIC ARTIFICIAL BOUNDARIES, Communications in numerical methods in engineering, 11(9), 1995, pp. 735-741
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
11
Issue
9
Year of publication
1995
Pages
735 - 741
Database
ISI
SICI code
1069-8299(1995)11:9<735:SOUDPU>2.0.ZU;2-6
Abstract
Exact non-local boundary conditions are derived and used on an artific ial boundary to solve the two-dimensional Laplace and Helmholtz equati ons in an unbounded domain. The artificial boundary is chosen to be an ellipse, as opposed to previous works which employed circular boundar ies. The use of elliptic artificial boundaries enables one to enclose slender obstacles very efficiently, especially in the case of Laplace' s equation.