A new sequence of hierarchic prismatic elements satisfying De Rham diagram on hybrid meshes

Abstract

This paper presents a new sequence of affine-equivalent H(curl)- and H(div)-conforming hierarchic prismatic finite elements of arbitrary polynomial degrees, satisfying De Rham diagram on hybrid tetrahedral-prismatic-hexahedral meshes. We also present suitable H(curl)- and H(div)-conforming reference maps that preserve the commutativity of the De Rham diagram.