Partially Discontinuous Nodal Finite Elements for H (curl) and H (div)
Document Type
Article
Publication Date
6-9-2022
Department
Department of Mathematical Sciences
Abstract
We investigate the discretization of H (curl) H({curl}) and H (div) H({div}) 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.
Publication Title
Computational Methods in Applied Mathematics
Recommended Citation
Zhang, Q.,
Hu, J.,
&
Hu, K.
(2022).
Partially Discontinuous Nodal Finite Elements for H (curl) and H (div).
Computational Methods in Applied Mathematics,
22(3), 613-629.
http://doi.org/10.1515/cmam-2022-0053
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/16160