Justin Chang <[email protected]> writes: > I am referring to P2 / (P1 + P0) elements, I think this is the correct way > of expressing it. Some call it modified Taylor Hood, others call it > something else, but it's not Crouzeix-Raviart elements.
Okay, thanks. This pressure space is not a disjoint union (the constant exists in both spaces) and thus the obvious "basis" is actually not linearly independent. I presume that people using this element do some "pinning" (like set one cell "average" to zero) instead of enforcing a unique expression via a Lagrange multiplier (which would involve a dense row and column). That may contribute to ill conditioning and in any case, would make domain decomposition or multigrid preconditioners more technical. Do you know of anything explaining why the method is not very widely used (e.g., in popular software packages, finite element books, etc.)?
signature.asc
Description: PGP signature
