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A new defect‐correction method for the stationary Navier–Stokes equations based on local Gauss integration
Author(s) -
Huang Pengzhan,
He Yinnian,
Feng Xinlong
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1618
Subject(s) - gaussian quadrature , mathematics , gauss , convergence (economics) , gaussian , numerical integration , stability (learning theory) , quadrature (astronomy) , gauss–seidel method , mathematical analysis , navier–stokes equations , nyström method , mathematical optimization , integral equation , compressibility , computer science , iterative method , physics , mechanics , quantum mechanics , machine learning , economic growth , optics , economics
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.