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Stokes: Laplace vs. elasticity formulation (P1nc-P0)

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Old   May 4, 2009, 09:42
Default Stokes: Laplace vs. elasticity formulation (P1nc-P0)
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Hello,

I have developed a finite element Stokes-solver that can handle both, Laplace (a(u,v)=\int \grad u : \grad v dx) and elasticity formulations (a(u,v)=\int \epsilon(u) : \epsilon(v) dx) of the Stokes problem. It is known that nonconforming linear-constant approximations do not fulfill all stability requirements in case of the elasticity formulation. Does anybody know a good test case to show a significant difference in the solution (Laplace vs. elasticity) for various elements, particularly the mixed P1nc-P0 approximation?

Cheers, Chris
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