Abstract
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.
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This work is in part supported by the NSF of China (No. 10901131, No. 61163027), the China Postdoctoral Science Foundation (No. 201104702) and the Natural Science Foundation of Xinjiang Province (No. 2013211B01).
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Su, H., Huang, P. & Feng, X. Two-level stabilized nonconforming finite element method for the Stokes equations. Appl Math 58, 643–656 (2013). https://doi.org/10.1007/s10492-013-0032-4
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DOI: https://doi.org/10.1007/s10492-013-0032-4