Locally-verifiable sufficient conditions for exactness of the hierarchical B-spline discrete de Rham complex in ${\mathbb{R}}^n$

Kendrick Shepherd, Deepesh Toshniwal

Given a domain $\Omega \subset {\mathbb{R}}^n$, the de Rham complex of differential forms arises naturally in the study of problems in electromagnetism and fluid mechanics defined on $\Omega$,…