|
| FEMOL with undetermined shape functions |
| Revised:July 17, 2002 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20045092 |
| KeyWord:FEMOL,undetermined shape function,BVP |
| Yuan Si~* Gui Xiongfei |
|
| Hits: 1127 |
| Download times: 8 |
| Abstract: |
| While FEMOL is a general and powerful semi-analytical method for BVPs, its solutions in the discrete direction and the analytical direction do not behave equally well. The present paper proposed a bi-directional semi-analytical method based on FEMOL, i.e. FEMOL with Undetermined Shape Functions. With the aid of energy theorem, the optimization approach, by solving an additional ODE problem after obtaining a FEMOL solution, greatly enhances the shape functions, and hence tremendously improves the overall solution quality and equalizes the accuracies in the two directions. Detailed formulation and numerical examples for two-dimensional Poisson equation were given in the paper to demonstrate the feasibility and effectiveness of the method. |
|
|
|