Curl-Conforming Vector Bases for Hybrid Meshes: A New Paradigm for Pyramid Elements

A simple procedure for obtaining hierarchical curl-conforming pyramid bases has been obtained by shifting to a new paradigm that requires the mapping of the pyramidal cell into a cube and then directly imposing the conformity of the vector bases with those used on adjacent differently shaped cells (tetrahedra, hexahedra and triangular prisms). This summary discusses and generalizes some features of the new construction method recently published elsewhere.