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Recovery type a posteriori error estimates for the conduction convection problem

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Abstract

In this paper, we construct a recovery type a posteriori error estimator based on the recovered gradient method to the stationary conduction convection equations. Besides, for these nonlinear partial differential equations, we establish reliability and efficiency of the recovery type estimator. Numerical results on test problems for the new estimator are also presented.

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Acknowledgments

The authors would like to thank the editor and anonymous reviewers for their helpful comments and suggestions which helped to improve the quality of our present paper.

Funding

This work is financially supported by the Natural Science Foundation of China (grant numbers 11861067 and 11771259).

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People’s Republic of China

    Qiuyu Zhang & Pengzhan Huang

  2. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People’s Republic of China

    Qiuyu Zhang

  3. Department of Mathematics, School of Arts and Sciences, Shaanxi University of Science and Technology, Xi’an, 710021, People’s Republic of China

    Jian Li

Authors
  1. Qiuyu Zhang
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  2. Jian Li
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  3. Pengzhan Huang
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Correspondence to Pengzhan Huang.

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Zhang, Q., Li, J. & Huang, P. Recovery type a posteriori error estimates for the conduction convection problem. Numer Algor 86, 425–441 (2021). https://doi.org/10.1007/s11075-020-00894-w

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  • DOI: https://doi.org/10.1007/s11075-020-00894-w

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