Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10349429 | Computer Methods in Applied Mechanics and Engineering | 2005 | 19 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Xiaonan Wu, Jicheng Jin,