A higher-order covolume method for planar div–curl problems
✍ Scribed by Roy Nicolaides; Da-Qing Wang
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 93 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0271-2091
No coin nor oath required. For personal study only.
✦ Synopsis
Covolume methods constitute a generalization to unstructured meshes of classical staggered mesh techniques. In this paper, a fourth-order method is proposed and it is proved rigorously that the order is indeed 4 in a standard norm. This result is for structured meshes only, and for div -curl equations in two-dimensional space.
📜 SIMILAR VOLUMES
We formulate a higher-order (superconvergent) Petrov-Galerkin method by determining, using a finitedifference approximation, the optimal selection of quadratic and cubic modifications to the standard linear test function for bilinear elements. Application of this method to linear elliptic problems r
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