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

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  • 1. Faculty of Mathematics and Physics Education, Luoyang Institute of Science and Technology, Luoyang 471023, Henan Province, China;
    2. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Received date: 2017-05-02

  Revised date: 2017-07-25

  Online published: 2018-02-01

Supported by

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

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.

Cite this article

Chao XU, Dongyang SHI, Xin LIAO . A new streamline diffusion finite element method for the generalized Oseen problem[J]. Applied Mathematics and Mechanics, 2018 , 39(2) : 291 -304 . DOI: 10.1007/s10483-018-2296-6

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