A recovery-based a posteriori error estimator for the generalized Stokes problem

Pengzhan Huang; Qiuyu Zhang

Applications of Mathematics (2020)

  • Volume: 65, Issue: 1, page 23-41
  • ISSN: 0862-7940

Abstract

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A recovery-based a posteriori error estimator for the generalized Stokes problem is established based on the stabilized P 1 - P 0 (linear/constant) finite element method. The reliability and efficiency of the error estimator are shown. Through theoretical analysis and numerical tests, it is revealed that the estimator is useful and efficient for the generalized Stokes problem.

How to cite

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Huang, Pengzhan, and Zhang, Qiuyu. "A recovery-based a posteriori error estimator for the generalized Stokes problem." Applications of Mathematics 65.1 (2020): 23-41. <http://eudml.org/doc/295023>.

@article{Huang2020,
abstract = {A recovery-based a posteriori error estimator for the generalized Stokes problem is established based on the stabilized $P_1-P_0$ (linear/constant) finite element method. The reliability and efficiency of the error estimator are shown. Through theoretical analysis and numerical tests, it is revealed that the estimator is useful and efficient for the generalized Stokes problem.},
author = {Huang, Pengzhan, Zhang, Qiuyu},
journal = {Applications of Mathematics},
keywords = {generalized Stokes problem; recovery-based error estimator; adaptive method; finite element method},
language = {eng},
number = {1},
pages = {23-41},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A recovery-based a posteriori error estimator for the generalized Stokes problem},
url = {http://eudml.org/doc/295023},
volume = {65},
year = {2020},
}

TY - JOUR
AU - Huang, Pengzhan
AU - Zhang, Qiuyu
TI - A recovery-based a posteriori error estimator for the generalized Stokes problem
JO - Applications of Mathematics
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 65
IS - 1
SP - 23
EP - 41
AB - A recovery-based a posteriori error estimator for the generalized Stokes problem is established based on the stabilized $P_1-P_0$ (linear/constant) finite element method. The reliability and efficiency of the error estimator are shown. Through theoretical analysis and numerical tests, it is revealed that the estimator is useful and efficient for the generalized Stokes problem.
LA - eng
KW - generalized Stokes problem; recovery-based error estimator; adaptive method; finite element method
UR - http://eudml.org/doc/295023
ER -

References

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