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A Recovery-Based a Posteriori Error Estimator for the Generalized Stokes Problem

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Abstract

A recovery-based a posteriori error estimator for the generalized Stokes problem is established based on the stabilized P1 − P0 (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.

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Acknowledgements

The authors would like to thank the editor and reviewers for their valuable comments and suggestions which helped us to improve the quality of this paper.

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P. R. China

    Pengzhan Huang

  2. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P. R. China

    Qiuyu Zhang

Authors
  1. Pengzhan Huang
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  2. Qiuyu Zhang
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Corresponding author

Correspondence to Pengzhan Huang.

Additional information

The research has been supported by the NSF of China (grant number 11861067).

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Huang, P., Zhang, Q. A Recovery-Based a Posteriori Error Estimator for the Generalized Stokes Problem. Appl Math 65, 23–41 (2020). https://doi.org/10.21136/AM.2020.0319-18

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  • DOI: https://doi.org/10.21136/AM.2020.0319-18

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