Alex Lindsay

Right, I was thinking that when we `build_side_list_from_node_list` (and visa versa) that we assign them the same name, so maybe as a libMesh issue this should actually be closed? I...

Up vote

@tanoret what do you think of something like in the above reference?

> Actually ... looking at that paper is interesting; their idea of "dual elements" doesn't match mine. They're doing a element dual to each edge, not one for each vertex?...

Yea in general I always like solutions that aren't specially cased, e.g. it would be somewhat unsatisfactory to have different treatments for simplex meshes vs. quad/hex meshes

I don't see why you couldn't give the same style of treatment by drawing other triangle sides from the quad edge vertices to quad centroid and identically having the quad...

I have one thing I have to finish today, but I could look into it right after that is done > On Nov 10, 2020, at 7:52 AM, roystgnr wrote:...

CR for Euler equations [here](https://www.researchgate.net/profile/Raphaele-Herbin/publication/278618986_Consistent_explicit_staggered_schemes_for_compressible_flows_Part_I_the_barotropic_Euler_equations/links/5708ef3f08aea660813581f6/Consistent-explicit-staggered-schemes-for-compressible-flows-Part-I-the-barotropic-Euler-equations.pdf?origin=publication_detail). It seems that CR is for simplices but Rannacher-Turek is what is used for quads and hexes.

In my mind these styles of discretizations seem somewhat related to a staggered grid finite volume scheme

More theory around CR [here](https://www.math.tamu.edu/~guermond/M661_FALL_2015/chap24.pdf) talking about why CR is non-conforming, e.g. not H1. Thanks to @jwpeterson for these great references