Hierarchical Vector Bases for Pyramid Cells

This presentation summarizes a very simple and straightforward new procedure to build hierarchical vector bases for the pyramid that conform to those used on adjacent differently shaped cells (tetrahedra, hexahedron and triangular prisms). Our new curl- and divergence-conforming bases, together with the corresponding curls and divergences, have simple and easy to implement mathematical expressions. Results confirming faster convergence and avoidance of spurious modes/solutions will be reported at the conference.