Title

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

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