Optimal convergence analysis of mixed finite element methods for fourth-order elliptic and parabolic problems
β Scribed by Jichun Li
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 122 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
The recently proposed expanded mixed formulation for numerical solution of second-order elliptic problems is here extended to fourth-order elliptic problems. This expanded formulation for the differential problems under consideration differs from the classical formulation in that three variables are
## Abstract Convergence of a finite element procedure for the solution of the fourthβorder equations is proved. A generalization of this result is mentioned and some remarks concerning the numerical results obtained at the Computing Centre of the Technical University in Brno are given.
For the groundwater flow problem (which corresponds to the Darcy flow model), we show how to produce a scheme with one unknown per element, starting from a mixed formulation discretized with the Raviart Thomas triangular elements of lowest order. The aim is here to obtain a new formulation with one