Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms

Abstract

AbstractIn this paper, we study a geometric approach for constructing physical degrees of freedom for sequences of finite element spaces. Within the framework of finite element systems, we propose new degrees of freedom for the spaces $\mathcal {P}_{r}{\varLambda }^{k}$ P r Λ k of polynomial differential forms and we verify numerically their unisolvence.