Partially Discontinuous Nodal Finite Elements for H(curl) and H(div)

We investigate the discretization of H(curl) and 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.

Automated summary

This paper investigates the discretization of H(curl) and H(div) in two and three space dimensions using partially discontinuous nodal finite elements, which are 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. Well-conditioned nodal bases are constructed.