Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems

Hongtao Chen; Shanghui Jia; Hehu Xie

Applications of Mathematics (2009)

  • Volume: 54, Issue: 3, page 237-250
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Chen, Hongtao, Jia, Shanghui, and Xie, Hehu. "Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems." Applications of Mathematics 54.3 (2009): 237-250. <http://eudml.org/doc/37818>.

@article{Chen2009,
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.},
author = {Chen, Hongtao, Jia, Shanghui, Xie, Hehu},
journal = {Applications of Mathematics},
keywords = {Stokes eigenvalue problem; mixed finite element method; Rayleigh quotient formula; postprocessing; Stokes eigenvalue problem; mixed finite element method; Rayleigh quotient formula},
language = {eng},
number = {3},
pages = {237-250},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems},
url = {http://eudml.org/doc/37818},
volume = {54},
year = {2009},
}

TY - JOUR
AU - Chen, Hongtao
AU - Jia, Shanghui
AU - Xie, Hehu
TI - Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems
JO - Applications of Mathematics
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 3
SP - 237
EP - 250
AB - 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.
LA - eng
KW - Stokes eigenvalue problem; mixed finite element method; Rayleigh quotient formula; postprocessing; Stokes eigenvalue problem; mixed finite element method; Rayleigh quotient formula
UR - http://eudml.org/doc/37818
ER -

References

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