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A new streamline diffusion finite element method for the generalized Oseen problem

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Abstract

This paper aims to present a new streamline diffusion method with low order rectangular Bernardi-Raugel elements to solve the generalized Oseen equations. With the help of the Bramble-Hilbert lemma, the optimal errors of the velocity and pressure are estimated, which are independent of the considered parameter ε. With an interpolation postprocessing approach, the superconvergent error of the pressure is obtained. Finally, a numerical experiment is carried out to confirm the theoretical results.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics Education, Luoyang Institute of Science and Technology, Luoyang, Henan Province, 471023, China

    Chao Xu

  2. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, China

    Dongyang Shi & Xin Liao

Authors
  1. Chao Xu
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  2. Dongyang Shi
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  3. Xin Liao
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Corresponding author

Correspondence to Dongyang Shi.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11271340 and 11671369)

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Xu, C., Shi, D. & Liao, X. A new streamline diffusion finite element method for the generalized Oseen problem. Appl. Math. Mech.-Engl. Ed. 39, 291–304 (2018). https://doi.org/10.1007/s10483-018-2296-6

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  • DOI: https://doi.org/10.1007/s10483-018-2296-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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