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An iteration method using artificial boundary for some elliptic boundary value problems with singularities

✍ Scribed by Xiaonan Wu; Charissa Chui-Yee Cheung

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 137 KB
Volume: 46
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19991220)46:11<1917::aid-nme796>3.0.co;2-a

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✦ Synopsis

By using an artiÿcial boundary an iteration method is designed to solve some elliptic boundary value problems with singularities. At each step of the iteration the standard ÿnite 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 e ectiveness of the iteration method. Copyright

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