English

Finite element spaces by Whitney k-forms on cubical meshes

Numerical Analysis 2024-12-11 v1 Numerical Analysis

Abstract

Finite element spaces by Whitney kk-forms on cubical meshes in Rn\mathbb{R}^n are presented. Based on the spaces, compatible discretizations to HΛkH\Lambda^k problems are provided, and discrete de Rham complexes and commutative diagrams are constructed.

Keywords

Cite

@article{arxiv.2412.07118,
  title  = {Finite element spaces by Whitney k-forms on cubical meshes},
  author = {Shuo Zhang},
  journal= {arXiv preprint arXiv:2412.07118},
  year   = {2024}
}
R2 v1 2026-06-28T20:28:52.521Z