A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS |
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| Authors: | Shi Dongyang |
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| Institution: | Shi Dongyang Department of Mathematics,Zhengzhou University,Zhengzhou 450052,ChinaRen Jincheng Department of Mathematics,Shangqiu Normal University,Shangqiu 476000,China Gong Wei Institute of Computational Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China |
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| Abstract: | In this article, a new stable nonconforming mixed finite element scheme is proposed for the stationary Navier-Stokes equations, in which a new low order CrouzeixRaviart type nonconforming rectangular element is taken for approximating space for the velocity and the piecewise constant element for the pressure. The optimal order error estimates for the approximation of both the velocity and the pressure in L2-norm are established, as well as one in broken H1-norm for the velocity. Numerical experiments are gi... |
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| Keywords: | Stationary Navier-Stokes equations nonconforming mixed finite element scheme optimal order error estimates |
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