On high order finite element spaces of differential forms
We show how the high order finite element spaces of differential forms due to Raviart Thomas Nedelec Hiptmair fit into the framework of finite element systems, in an elaboration of the finite element exterior calculus of Arnold Falk Winther. Based on observations by Bossavit, we provide new low order degrees of freedom. As an alternative to existing choices of bases, we provide canonical resolutions in terms of scalar polynomials and Whitney forms.
Math. Comput.