A nodal basis for the $C^1$-$P_{33}$ finite elements on 5D simplex grids
Numerical Analysis
2025-06-24 v1 Numerical Analysis
Abstract
We construct a nodal basis for the 5-dimensional finite element space of polynomial degree on simplex grids, where the finite element functions are on the 6 4D-simplex faces, on the 15 face-tetrahedra, on the 20 face-triangles, on the 15 edges, and at the 6 vertices, of a 5D simplex.
Keywords
Cite
@article{arxiv.2506.17961,
title = {A nodal basis for the $C^1$-$P_{33}$ finite elements on 5D simplex grids},
author = {Jun Hu and Shangyou Zhang},
journal= {arXiv preprint arXiv:2506.17961},
year = {2025}
}