Local mesh refinement with finite elements for elliptic problems
โ Scribed by J.A Gregory; D Fishelov; B Schiff; J.R Whiteman
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 384 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0021-9991
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๐ SIMILAR VOLUMES
After it is shown that the classical five-point mesh-centered finite difference scheme can be derived from a low-order nodal finite element scheme by using nonstandard quadrature formulae, higher-order block mesh-centered finite difference schemes for second-order elliptic problems are derived from
In this article, a novel dual-primal mixed formulation for second-order elliptic problems is proposed and analyzed. The Poisson model problem is considered for simplicity. The method is a Petrov-Galerkin mixed formulation, which arises from the one-element formulation of the problem and uses trial f