A new defect‐correction method for the stationary Navier–Stokes equations based on local Gauss integration |
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| Authors: | Pengzhan Huang Yinnian He Xinlong Feng |
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| Affiliation: | 1. College of Mathematics and System Sciences, Xinjiang University, , Urumqi, 830046 China;2. School of Mathematics and Statistics, Xi'an Jiaotong University, , Xi'an, 710049 China |
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| Abstract: | A new defect‐correction method for the stationary Navier–Stokes equations based on local Gauss integration is considered in this paper. In both defect step and correction step, a locally stabilized technique based on the Gaussian quadrature rule is used. Moreover, stability and convergence of the presented method are deduced. Finally, we provide some numerical experiments to show good stability and effectiveness properties of the presented method. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | Navier– Stokes equations defect correction local Gauss integration stability error estimate |
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