Geodesic
A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations
Applications of Mathematics, Tome 62 (2017) no. 1, pp. 75-100.

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A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations is presented. Applying the orthogonal projection technique, we introduce two local Gauss integrations as a stabilizing term in the error correction method, and derive a new error correction method. In both the coarse solution computation step and the error computation step, a locally stabilizing term based on two local Gauss integrations is introduced. The stability and convergence of the new error correction algorithm are established. Numerical examples are also presented to verify the theoretical analysis and demonstrate the efficiency of the proposed method.
DOI : 10.21136/AM.2017.0119-16
Classification : 65N12, 65N15, 65N30, 76D05, 76M10
Keywords: Navier-Stokes equation; finite element method; variational multiscale; two local Gauss integrations; error correction method 
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     title = {A new error correction method for the stationary {Navier-Stokes} equations based on two local {Gauss} integrations},
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Yang, Yun-Bo; Kong, Qiong-Xiang. A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations. Applications of Mathematics, Tome 62 (2017) no. 1, pp. 75-100. doi : 10.21136/AM.2017.0119-16. http://geodesic.mathdoc.fr/articles/10.21136/AM.2017.0119-16/

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