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The Crouzeix-Raviart Type Nonconforming Finite Element Method for the Nonstationary Navier-Stokes Equations on Anisotropic Meshes 被引量:2

The Crouzeix-Raviart Type Nonconforming Finite Element Method for the Nonstationary Navier-Stokes Equations on Anisotropic Meshes
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摘要 This paper is devoted to study the Crouzeix-Raviart (C-R) type nonconforming linear triangular finite element method (FEM) for the nonstationary Navier-Stokes equations on anisotropic meshes. By intro- ducing auxiliary finite element spaces, the error estimates for the velocity in the L2-norm and energy norm, as well as for the pressure in the L2-norm are derived. This paper is devoted to study the Crouzeix-Raviart (C-R) type nonconforming linear triangular finite element method (FEM) for the nonstationary Navier-Stokes equations on anisotropic meshes. By intro- ducing auxiliary finite element spaces, the error estimates for the velocity in the L2-norm and energy norm, as well as for the pressure in the L2-norm are derived.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2014年第1期145-156,共12页 应用数学学报(英文版)
基金 Supported by National Science Foundation of China(No.10971203 No.11271340) Research Fund for the Doctoral Program of Higher Education of China(No.20094101110006)
关键词 Navier-Stokes equations C-R type nonconforming linear triangular FE anisotropic meshes error estimates Navier-Stokes equations C-R type nonconforming linear triangular FE anisotropic meshes error estimates
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