A Finite-Element Method for Laplace- and Helmholtz-Type Boundary Value Problems with Singularities

Xiaonan Wu*, Houde Han

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

35 Citations (Scopus)
10 Downloads (Pure)

Abstract

Laplace- and Helmholtz-type boundary value problems with singularities are considered. A sequence of approximations to the exact boundary conditions at an artificial boundary is given. Then the original problem is reduced to a boundary value problem in a domain away from the singularities. Furthermore, finite-element approximations are applied to this problem and error estimates are obtained. Finally, some numerical examples show the effectiveness of this method.

Original languageEnglish
Pages (from-to)1037-1050
Number of pages14
JournalSIAM Journal on Numerical Analysis
Volume34
Issue number3
DOIs
Publication statusPublished - May 1997

Scopus Subject Areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Approximate boundary conditions at an artificial boundary
  • Artificial boundary
  • Singularity

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