Nédélec spaces in affine coordinates
✍ Scribed by J. Gopalakrishnan; L.E. García-Castillo; L.F. Demkowicz
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 554 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
In this note, we provide a conveniently implementable basis for simplicial Ned~lec spaces of any order in aay space dimension. The main feature of the basis is that it is expressed solely in terms of the barycentric coordinates of the simplex.
📜 SIMILAR VOLUMES
The practical implementation of the second-order tetrahedral version of NeH deH lec's "rst family of curlconforming elements [1] (NeH deH lec. Numerische Mathematik 1980; 35:315}341) is presented. Following the de"nition of the element given by NeH deH lec, the second-order vectorial basis functions
The goal of this study is the automatic construction of a vectorial polynomial basis for Nédélec mixed finite elements, J.C. , in particular, the generation of finite elements without the expression of the polynomial basis functions, using symbolic calculus: the exhibition of basis functions has no
## Abstract This paper considers a lattice represented by integer coordinates in __n__‐dimensional space (digital lattice). On the digital lattice, an automorphism is constructed by a newly proposed theory and algorithm, to enable the approximation of the arbitrarily given equivolume affine transfo