A superconvergent nonconforming mixed finite element method for the Navier–Stokes equations |
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| Authors: | Jincheng Ren Yue Ma |
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| Affiliation: | 1. College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, China;2. School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, China |
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| Abstract: | The superconvergence for a nonconforming mixed finite element approximation of the Navier–Stokes equations is analyzed in this article. The velocity field is approximated by the constrained nonconforming rotated Q1 (CNRQ1) element, and the pressure is approximated by the piecewise constant functions. Under some regularity assumptions, the superconvergence estimates for both the velocity in broken H1‐norm and the pressure in L2‐norm are obtained. Some numerical examples are presented to demonstrate our theoretical results. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 646–660, 2016 |
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| Keywords: | Navier– Stokes equations nonconforming mixed finite element superconvergence |
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