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A decoupled finite element method with diferent time steps for the nonstationary Darcy–Brinkman problem

Cheng Liao, Pengzhan Huang and Yinnian He

Abstract

A decoupled finite element method with different time steps for the nonstationary Darcy--Brinkman problem is considered in this paper. Moreover, for the presented method, the stability analysis and error estimates are deduced. Finally, numerical tests are provided that demonstrate the efficiency of the method. It is found the presented method can save lots of computational time compared with standard coupled method.

JEL Classification: 65M12; 65M60

Acknowledgement

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.

  1. Funding: This work is supported by the Natural Science Foundation of China (grant number 11861067) and China Scholarship Council (grant number 201708655003).

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Published Online: 2019-12-31
Published in Print: 2020-03-26

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