Simple curl-curl-conforming finite elements in two dimensions
Numerical Analysis
2021-09-07 v2 Numerical Analysis
Abstract
We construct smooth finite element de Rham complexes in two space dimensions. This leads to three families of curl-curl conforming finite elements, two of which contain two existing families. The simplest triangular and rectangular finite elements have only 6 and 8 degrees of freedom, respectively. Numerical experiments for each family demonstrate the convergence and efficiency of the elements for solving the quad-curl problem.
Cite
@article{arxiv.2004.12507,
title = {Simple curl-curl-conforming finite elements in two dimensions},
author = {Kaibo Hu and Qian Zhang and Zhimin Zhang},
journal= {arXiv preprint arXiv:2004.12507},
year = {2021}
}
Comments
24 pages, 2 figures