A finite element method for Stokes equation using discrete singularity expansion

Xiaonan WU; Jicheng Jin

doi:10.1016/j.cma.2004.06.012

A finite element method for Stokes equation using discrete singularity expansion

Xiaonan WU^*, Jicheng Jin

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	83-101
Number of pages	19
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	194
Issue number	1
DOIs	https://doi.org/10.1016/j.cma.2004.06.012
Publication status	Published - 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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10.1016/j.cma.2004.06.012

Cite this

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title = "A finite element method for Stokes equation using discrete singularity expansion",

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.",

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AU - WU, Xiaonan

AU - Jin, Jicheng

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Y1 - 2005/1/14

N2 - 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.

AB - 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.

KW - Finite element method

KW - Singularity

KW - Stokes equation

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DO - 10.1016/j.cma.2004.06.012

M3 - Article

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JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

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ER -

A finite element method for Stokes equation using discrete singularity expansion

Abstract

Scopus Subject Areas

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