A streamline diffusion nonconforming finite element method for the time-dependent linearized Navier-Stokes equations  

作　　者：陈豫眉 谢小平 

机构地区：[1]School of Mathematics,Sichuan University [2]College of Mathematics and Information,China West Normal University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第7期861-874,共14页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.10771150);the National Basic Research Program of China(No.2005CB321701);the Program for New Century Excellent Talents in University(No.NCET-07-0584);the Natural Science Foundation of Sichuan Province(No.07ZB087)

摘　　要：A nonconforming finite element method of finite difference streamline diffusion type is proposed to solve the time-dependent linearized Navier-Stokes equations. The backward Euler scheme is used for time discretization. Crouzeix-Raviart nonconforming finite element approximation, namely, nonconforming （P1）2 - P0 element, is used for the velocity and pressure fields with the streamline diffusion technique to cope with usual instabilities caused by the convection and time terms. Stability and error estimates are derived with suitable norms.A nonconforming finite element method of finite difference streamline diffusion type is proposed to solve the time-dependent linearized Navier-Stokes equations. The backward Euler scheme is used for time discretization. Crouzeix-Raviart nonconforming finite element approximation, namely, nonconforming （P1）2 - P0 element, is used for the velocity and pressure fields with the streamline diffusion technique to cope with usual instabilities caused by the convection and time terms. Stability and error estimates are derived with suitable norms.

关 键 词：streamline diffusion method finite difference method nonconforming finite element method time-dependent linearized Navier-Stokes equations error estimate 

分 类 号：O241.82[理学—计算数学]