Partially discontinuous nodal finite elements for $H(\mathrm{curl})$ and $H(\mathrm{div})$
Numerical Analysis
2022-03-07 v1 Numerical Analysis
Computational Physics
Abstract
We investigate discretization of and in two and three space dimensions by partially discontinuous nodal finite elements, i.e., vector-valued Lagrange finite elements with discontinuity in certain directions. These spaces can be implemented as a combination of continuous and discontinuous Lagrange elements and fit in de~Rham complexes. We construct well-conditioned nodal bases.
Keywords
Cite
@article{arxiv.2203.02103,
title = {Partially discontinuous nodal finite elements for $H(\mathrm{curl})$ and $H(\mathrm{div})$},
author = {Jun Hu and Kaibo Hu and Qian Zhang},
journal= {arXiv preprint arXiv:2203.02103},
year = {2022}
}
Comments
19 pages