Article
MSC:
35A35,
35P05,
35P15,
35Q30,
35Q35,
65N12,
65N15,
65N25,
65N30,
76D07,
76M10 | MR 2476018 | Zbl 1212.65434 | DOI: 10.1007/s10492-009-0001-0
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Keywords:
Stokes eigenvalue problem; stream function-vorticity-pressure method; asymptotic expansion; extrapolation; a posteriori error estimates; nonconforming finite element methods; convergence
Stokes eigenvalue problem; stream function-vorticity-pressure method; asymptotic expansion; extrapolation; a posteriori error estimates; nonconforming finite element methods; convergence
Summary:
In this paper we analyze the stream function-vorticity-pressure method for the Stokes eigenvalue problem. Further, we obtain full order convergence rate of the eigenvalue approximations for the Stokes eigenvalue problem based on asymptotic error expansions for two nonconforming finite elements, $Q_1^{{\rm rot}}$ and $EQ_1^{{\rm rot}}$. Using the technique of eigenvalue error expansion, the technique of integral identities and the extrapolation method, we can improve the accuracy of the eigenvalue approximations.
References:
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