Abstract
A new nonconforming element constructed by the Double Set Parameter method, is applied to the fourth order elliptic singular perturbation problem. The convergence uniformly in the perturbation parameter, is proved under the anisotropic meshes and optimal convergence rate O(h) is obtained. Numerical results are given to demonstrate validity of our theoretical analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 766-784 |
| Number of pages | 19 |
| Journal | International Journal of Numerical Analysis and Modeling |
| Volume | 7 |
| Issue number | 4 |
| Publication status | Published - Oct 2010 |
Scopus Subject Areas
- Numerical Analysis
User-Defined Keywords
- Nonconforming finite element
- Double set parameter method
- Anisotropic
- Fourth order elliptic singular perturbation problem
- Uniform convergence