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

作　　者：Dong-yang SHI Hui-min WANG 

机构地区：[1]Department of Mathematics,Zhengzhou University [2]College of Science,Henan Institute of Engineering

出　　处：《Acta Mathematicae Applicatae Sinica》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)

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.

关 键 词：Navier-Stokes equations C-R type nonconforming linear triangular FE anisotropic meshes error estimates 

分 类 号：O241.82[理学—计算数学]