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Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems |
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| Authors: | Hongtao Chen Shanghui Jia Hehu Xie |
| Institution: | (1) LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, P.R.China;(2) School of Applied Mathematics, Central University of Finance and Economics, Beijing, 100081, P.R.China |
| Abstract: | 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. Dedicated to Ivan Hlaváček on the occasion of his 75th birthday |
| Keywords: | Stokes eigenvalue problem mixed finite element method Rayleigh quotient formula postprocessing |
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