Line 6: | Line 6: | ||
== Abstract == | == Abstract == | ||
<pdf>Media:Draft_Sanchez Pinedo_238081511824_abstract.pdf</pdf> | <pdf>Media:Draft_Sanchez Pinedo_238081511824_abstract.pdf</pdf> | ||
+ | |||
+ | == Full Paper == | ||
+ | <pdf>Media:Draft_Sanchez Pinedo_238081511824_paper.pdf</pdf> |
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.
Published on 21/11/22
Volume Computational Applied Mathematics, 2022
DOI: 10.23967/eccomas.2022.134
Licence: CC BY-NC-SA license
Are you one of the authors of this document?