hphp-finite element trace inequalities for the pyramid

Polynomial trace inequalities typically involve an unknown constant, depending on the order NN of the polynomial. The dependence of these constants on NN was made more explicit in Warburton and Hesthaven (2003) for the general dd-simplex, and they were determined for quadrilaterals, hexes, and wedges in Hillewaert (2013). In this note, we derive explicit expressions for the constant in the trace inequality for two sets of basis functions on the pyramid.