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.

翻译：本文提出了在 $\mathbb{R}^n$ 中立方体网格上由Whitney $k$-形式构造的有限元空间。基于这些空间，我们为 $H\Lambda^k$ 问题提供了相容离散化方案，并构造了离散de Rham复形及交换图表。