A primal finite element scheme of the $\mathbf{H}(\mathbf{d})\cap \mathbf{H}(\boldsymbolδ)$ 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(d k ) ∩ H(δ k ) elliptic problem. 2010 Mathematics Subject Classification. Primary 47N40, 65N30. Key words and phrases. H(d) ∩ H(δ), primal formulation, nonconforming finite element method, non-Ciarlet type. The research is partially supported by NSFC (11871465) and CAS (XDB 41000000).