On 3/11/20 11:25 AM, Bruno Blais wrote:
I spent some time re-reading the theory and you are right, nothing shows
that the convergence rate should be conserved when we have stabilized
equal order elements. However it is interesting to note that when we use
stabilization and we revert to LBB stable elements (Q2-Q1 for instance)
the right order is recovered.
Yes, that is correct.
But I still think that the best you can hope for with equal-order
(Qk-Qk) discretizations is optimal order for 'u', but not for 'p'. My
gut reaction is that that is going to be true for any stabilization
method. In other words, your numerical experiments do not surprise me --
they should what I would have naively expected.
Best
W.
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Wolfgang Bangerth email: bange...@colostate.edu
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