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arXiv · 2010.00524

H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes

Francesca Bonizzoni·Guido Kanschat
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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.

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Francesca Bonizzoni, Guido Kanschat. 2020-10-01. H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes. https://doi.org/10.1007/s10092-021-00409-6

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