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

doi:10.1007/s10483-018-2296-6

Abstract

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.

Key words: KKM theorem, matching theorem, fixed point, minimax inequality, streamline diffusion method, superconvergent error estimate, Oseen problem, Bernardi-Raugel element

2010 MSC Number:

65N30
65N15

Chao XU, Dongyang SHI, Xin LIAO. A new streamline diffusion finite element method for the generalized Oseen problem. Applied Mathematics and Mechanics (English Edition), 2018, 39(2): 291-304.

TrendMD

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