A nodal type polynomial finite element exact sequence over quadrilaterals
Numerical Analysis
2018-10-16 v1
Abstract
This work proposes two nodal type nonconforming finite elements over convex quadrilaterals, which are parts of a finite element exact sequence. Both elements are of 12 degrees of freedom (DoFs) with polynomial shape function spaces selected. The first one is designed for fourth order elliptic singular perturbation problems, and the other works for Brinkman problems. Numerical examples are also provided.
Cite
@article{arxiv.1810.06223,
title = {A nodal type polynomial finite element exact sequence over quadrilaterals},
author = {Xinchen Zhou and Zhaoliang Meng and Xin Fan and Zhongxuan Luo},
journal= {arXiv preprint arXiv:1810.06223},
year = {2018}
}