H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes
Numerical Analysis
2022-07-04 v1 Numerical Analysis
Abstract
A finite element cochain complex on Cartesian meshes of any dimension based on the H1-inner product is introduced. It yields H1-conforming finite element spaces with exterior derivatives in H1. We use a tensor product construction to obtain L2-stable projectors into these spaces which commute with the exterior derivative. The finite element complex is generalized to a family of arbitrary order.
Cite
@article{arxiv.2010.00524,
title = {H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes},
author = {Francesca Bonizzoni and Guido Kanschat},
journal= {arXiv preprint arXiv:2010.00524},
year = {2022}
}