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Finite element spaces by Whitney k-forms on cubical meshes

Published 10 Dec 2024 in math.NA and cs.NA | (2412.07118v1)

Abstract: Finite element spaces by Whitney $k$-forms on cubical meshes in $\mathbb{R}n$ are presented. Based on the spaces, compatible discretizations to $H\Lambdak$ problems are provided, and discrete de Rham complexes and commutative diagrams are constructed.

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