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 - 2010 |
Scopus Subject Areas
- Numerical Analysis
User-Defined Keywords
- Anisotropic
- Double set parameter method
- Fourth order elliptic singular perturbation problem
- Nonconforming finite element
- Uniform convergence