Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes |
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Authors: | Dongyang Shi Jincheng Ren |
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Affiliation: | a Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, PR China b Department of Mathematics, Shangqiu Normal University, Shangqiu, 476000, PR China |
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Abstract: | The main aim of this paper is to study the error estimates of a rectangular nonconforming finite element for the stationary Navier-Stokes equations under anisotropic meshes. That is, the nonconforming rectangular element is taken as approximation space for the velocity and the piecewise constant element for the pressure. The convergence analysis is presented and the optimal error estimates both in a broken H1-norm for the velocity and in an L2-norm for the pressure are derived on anisotropic meshes. |
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Keywords: | 65N30 65N15 35Q10 |
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