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==Summary==
  
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We develop tensor product finite element cochain complexes of arbitrary smoothness on Cartesian meshes of arbitrary dimension. The first step is the construction of a onedimensional Cm-conforming finite element cochain complex based on a modified Hermite interpolation operator, which is proved to commute with the exterior derivative by means of a general commutation lemma. Adhering to a strict tensor product construction we then derive finite element complexes in higher dimensions.
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== Abstract ==
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<pdf>Media:Draft_Sanchez Pinedo_238081511824_abstract.pdf</pdf>
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== Full Paper ==
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<pdf>Media:Draft_Sanchez Pinedo_238081511824_paper.pdf</pdf>

Latest revision as of 13:53, 22 November 2022

Summary

We develop tensor product finite element cochain complexes of arbitrary smoothness on Cartesian meshes of arbitrary dimension. The first step is the construction of a onedimensional Cm-conforming finite element cochain complex based on a modified Hermite interpolation operator, which is proved to commute with the exterior derivative by means of a general commutation lemma. Adhering to a strict tensor product construction we then derive finite element complexes in higher dimensions.

Abstract

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Full Paper

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Document information

Published on 21/11/22

Volume Computational Applied Mathematics, 2022
DOI: 10.23967/eccomas.2022.134
Licence: CC BY-NC-SA license

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