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

Xiaonan WU*, Charissa Chui Yee Cheung

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1917-1931
Number of pages15
JournalInternational Journal for Numerical Methods in Engineering
Volume46
Issue number11
DOIs
Publication statusPublished - 20 Dec 1999

Scopus Subject Areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

User-Defined Keywords

  • Artificial boundary
  • Iteration method
  • Schwarz alternating
  • Singularity

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