Permutation rules for simplex finite elements
β Scribed by Peter P. Silvester
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 266 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Simplicial finite elements have many symmetries, which are commonly exploited in programs to save computing time and storage. All possible permutations of the interpolation functions of an Nβsimplex can be expressed in terms of N basic permutation operations. The relevant permutation matrices are given for triangles up to order 20 and tetrahedra up to order 10.
π SIMILAR VOLUMES
We discuss the numerical integration of polynomials times non-polynomial weighting functions in two dimensions arising from multiscale finite element computations. The proposed quadrature rules are significantly more accurate than standard quadratures and are better suited to existing finite element
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