Geodesic
Two-level stabilized nonconforming finite element method for the Stokes equations
Applications of Mathematics, Tome 58 (2013) no. 6, pp. 643-656 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this article, we present a new two-level stabilized nonconforming finite elements method for the two dimensional Stokes problem. This method is based on a local Gauss integration technique and the mixed nonconforming finite element of the $NCP_{1}-P_{1}$ pair (nonconforming linear element for the velocity, conforming linear element for the pressure). The two-level stabilized finite element method involves solving a small stabilized Stokes problem on a coarse mesh with mesh size $H$ and a large stabilized Stokes problem on a fine mesh size $h=H/3$. Numerical results are presented to show the convergence performance of this combined algorithm.
In this article, we present a new two-level stabilized nonconforming finite elements method for the two dimensional Stokes problem. This method is based on a local Gauss integration technique and the mixed nonconforming finite element of the $NCP_{1}-P_{1}$ pair (nonconforming linear element for the velocity, conforming linear element for the pressure). The two-level stabilized finite element method involves solving a small stabilized Stokes problem on a coarse mesh with mesh size $H$ and a large stabilized Stokes problem on a fine mesh size $h=H/3$. Numerical results are presented to show the convergence performance of this combined algorithm.
DOI : 10.1007/s10492-013-0032-4
Classification : 65M12, 65M60, 76D07
Keywords: Stokes problem; two-level method; nonconforming finite element; error estimate; numerical result 
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     title = {Two-level stabilized nonconforming finite element method for the {Stokes} equations},
     journal = {Applications of Mathematics},
     pages = {643--656},
     year = {2013},
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Su, Haiyan; Huang, Pengzhan; Feng, Xinlong. Two-level stabilized nonconforming finite element method for the Stokes equations. Applications of Mathematics, Tome 58 (2013) no. 6, pp. 643-656. doi: 10.1007/s10492-013-0032-4

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