A collocation finite element method for potential problems in irregular domains
β Scribed by Emil O. Frind; George F. Pinder
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 1011 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0029-5981
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π SIMILAR VOLUMES
We consider the numerical approximation of singularly perturbed elliptic boundary value problems over nonsmooth domains. We use a decomposition of the solution that contains a smooth part, a corner layer part and a boundary layer part. Explicit guidelines for choosing mesh-degree combinations are gi
## Abstract A finite element method is given for the problem of exact control of a linear parabolic equation. The basis functions consist of piecewise bicubic polynomials and the differential equation is satisfied at Gaussian collocation points within each element. The overdetermined system of equa
The Method of Weighted Residuals (MWR) is a powerful tool in solving boundary value problems. A particular MWR is the "collocation method". The main theme of this paper is eigenvalue calculations with the collocation method. The bench mark problems considered are second andfourth order dtflerential