Geodesic
Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems
Applications of Mathematics, Tome 54 (2009) no. 3, pp. 237-250.

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In this paper we propose a method for improving the convergence rate of the mixed finite element approximations for the Stokes eigenvalue problem. It is based on a postprocessing strategy that consists of solving an additional Stokes source problem on an augmented mixed finite element space which can be constructed either by refining the mesh or by using the same mesh but increasing the order of the mixed finite element space.
DOI : 10.1007/s10492-009-0015-7
Classification : 35P15, 65B99, 65L15, 65N12, 65N25, 65N30
Keywords: Stokes eigenvalue problem; mixed finite element method; Rayleigh quotient formula; postprocessing 
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     title = {Postprocessing and higher order convergence for the mixed finite element approximations of the {Stokes} eigenvalue problems},
     journal = {Applications of Mathematics},
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Chen, Hongtao; Jia, Shanghui; Xie, Hehu. Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems. Applications of Mathematics, Tome 54 (2009) no. 3, pp. 237-250. doi : 10.1007/s10492-009-0015-7. http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0015-7/

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