[bunje]

I have not so far heard any compelling arguments for using other than tetrahedral or hexahedral meshes in finite element computations. I know that there is a lot of research going on but the motivation is not clear to me.

Error estimates are dependent on the polynomial degree and the average cell size, and not the "amount of corners per cell" or anything like that.

[m0llusk]

The assertion is that computation of phenomena like flow and radiation could result in fundamentally more accurate computations. Minor variations in surface shape and texture can have a large impact on physical interactions. Getting the geometry right could make a big difference. Given that this is a rigorous attempts to advance the state of the art it should be possible to demonstrate this improvement with computations, but with the current state of this project any experimental exercises will have to wait until after SIGGRAPH or whenever this is released as usable software. It seems unlikely that anyone will try to jump ahead of this project using what they have published so far. It seems kind of sad that this work is being advanced first as hype for a licensing opportunity and as research that others could work with second, especially given that national labs are doing this work with public money.