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arXiv · 2207.10037

A Characterization of Whitney forms

Józef Dodziuk
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Abstract

We give a characterization of Whitney forms on an $n$-simplex $σ$ and prove that for every real valued simplicial $k$-cochain $c$ on $σ$, the form $Wc$ is the unique differential $k$-form $φ$ on $σ$ with affine coefficients that pulls back to a constant form of degree $k$ on every $k$-face $τ$ of $σ$ and satisfies $\int_τ φ= $.

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Józef Dodziuk. 2022-07-20. A Characterization of Whitney forms. https://arxiv.org/abs/2207.10037

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