Abstract
A kind of numerical method is proposed for some elliptic boundary value problems with interface. It includes mainly two steps. At the first step, we obtain the approximation of the singularity near the singular points by solving a simple eigenvalue problem, which is one dimension less than the original problem. At the second step, we apply the approximation of the singularity together with the standard finite element basis functions to construct the singular finite element space and finally solve the original problem on a conventional mesh. Some numerical examples show the effectiveness of this method.
| Original language | English |
|---|---|
| Pages (from-to) | 197-216 |
| Number of pages | 20 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 170 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Sept 2004 |
Scopus Subject Areas
- Computational Mathematics
- Applied Mathematics
User-Defined Keywords
- Finite element method
- Interface
- Singularity