Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method

Pengzhan Huang

Applications of Mathematics (2014)

  • Volume: 59, Issue: 4, page 361-370
  • ISSN: 0862-7940

Abstract

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This paper presents a superconvergence result based on projection method for stabilized finite element approximation of the Stokes eigenvalue problem. The projection method is a postprocessing procedure that constructs a new approximation by using the least squares method. The paper complements the work of Li et al. (2012), which establishes the superconvergence result of the Stokes equations by the stabilized finite element method. Moreover, numerical tests confirm the theoretical analysis.

How to cite

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Huang, Pengzhan. "Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method." Applications of Mathematics 59.4 (2014): 361-370. <http://eudml.org/doc/261921>.

@article{Huang2014,
abstract = {This paper presents a superconvergence result based on projection method for stabilized finite element approximation of the Stokes eigenvalue problem. The projection method is a postprocessing procedure that constructs a new approximation by using the least squares method. The paper complements the work of Li et al. (2012), which establishes the superconvergence result of the Stokes equations by the stabilized finite element method. Moreover, numerical tests confirm the theoretical analysis.},
author = {Huang, Pengzhan},
journal = {Applications of Mathematics},
keywords = {Stokes eigenvalue problem; stabilized method; lowest equal-order pair; projection method; superconvergence; Stokes eigenvalue problem; stabilized method; lowest equal-order pair; projection method; superconvergence; finite element; least squares method; numerical tests},
language = {eng},
number = {4},
pages = {361-370},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method},
url = {http://eudml.org/doc/261921},
volume = {59},
year = {2014},
}

TY - JOUR
AU - Huang, Pengzhan
TI - Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 4
SP - 361
EP - 370
AB - This paper presents a superconvergence result based on projection method for stabilized finite element approximation of the Stokes eigenvalue problem. The projection method is a postprocessing procedure that constructs a new approximation by using the least squares method. The paper complements the work of Li et al. (2012), which establishes the superconvergence result of the Stokes equations by the stabilized finite element method. Moreover, numerical tests confirm the theoretical analysis.
LA - eng
KW - Stokes eigenvalue problem; stabilized method; lowest equal-order pair; projection method; superconvergence; Stokes eigenvalue problem; stabilized method; lowest equal-order pair; projection method; superconvergence; finite element; least squares method; numerical tests
UR - http://eudml.org/doc/261921
ER -

References

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