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An iteration method using artificial boundary for some elliptic boundary value problems with singularities
Author(s) -
Wu Xiaonan,
Cheung Charissa ChuiYee
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19991220)46:11<1917::aid-nme796>3.0.co;2-a
Subject(s) - gravitational singularity , mathematics , boundary value problem , boundary (topology) , finite element method , boundary knot method , domain (mathematical analysis) , singular boundary method , mathematical analysis , boundary element method , structural engineering , engineering
By using an artificial boundary an iteration method is designed to solve some elliptic boundary value problems with singularities. At each step of the iteration the standard finite element method is used to solve the problems in a domain without singularities. It is shown that the iteration method is equivalent to a Schwarz alternating method. Some numerical examples are given, which show the effectiveness of the iteration method. Copyright © 1999 John Wiley & Sons, Ltd.