A primal finite element scheme of the $\mathbf{H}(\mathbf{d})\cap \mathbf{H}(\mathbf{\delta })$ elliptic problem

Abstract

In this paper, a unified family, for $n⩾2$ and $1⩽k⩽n-1$, of finite element schemes are presented for the primal weak formulation of the $n$-dimensional $H({\mathbf{d}}^k)\cap H({\mathbf{\delta }}_k)$ elliptic problem.

Include a section (appendix) for some detailed calculation