A finite element method for Stokes equation using discrete singularity expansion

Xiaonan WU*, Jicheng Jin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The numerical method presented in this paper for Stokes equation with corner singularity includes mainly two steps. Firstly, we solve a simple eigenvalue problem, which is one dimension less than the original problem, to obtain the discrete expansion of the singularity near the corner. Secondly, we combine the approximation of the singularity and standard finite element basis functions to construct special finite element spaces, and solve the original problem in the special spaces on a conventional mesh. The numerical examples show the effectiveness of this method.

Original languageEnglish
Pages (from-to)83-101
Number of pages19
JournalComputer Methods in Applied Mechanics and Engineering
Volume194
Issue number1
DOIs
Publication statusPublished - 14 Jan 2005

Scopus Subject Areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

User-Defined Keywords

  • Finite element method
  • Singularity
  • Stokes equation

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