Re: conformal vs. non conformal mesh
A conformal mesh is a mesh where the geometry and order lines up between elements (eg. no hanging nodes and constant polynomial order). hnonconforming means there are hanging nodes and pnonconforming means that polynomial order doesn't match. A conformal discretization is one where the global function space has the expected regularity (typically H^1). Discontinuous Galerkin uses a nonconforming discretization since the global function space is not in H^1 (although it is H^1 on elements). You can use a conformal discretization on a nonconforming mesh by using constraints and eliminating constrained degrees of freedom.
