Finite element spaces by Whitney $k$-forms on cubical meshes in $\mathbb{R}^n$ are presented. Based on the spaces, compatible discretizations to $H\Lambda^k$ problems are provided, and discrete de Rham complexes and commutative diagrams are constructed.
Gibbs Phenomena for $L^q$-Best Approximation in Finite Element Spaces -- Some Examples
New degrees of freedom for differential forms on cubical meshes
On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity
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