%0 Journal Article
%T THE FINITE ELEMENT METHOD OF THE THREE DIMENSIONAL  STATIONARY ROTATING NAVIER-STOKES EQUATIONS IN THE PRIMITIVE VARIABLES WITH MIXED BOUNDARY CONDITIONS<br>混合边界条件下的三维定常 旋转Navier-Stokes方程的原始变量有限元计算
%A Su Jian
%A Li Kaitai
%A <br>苏剑
%A 李开泰
%J 计算数学
%D 2008
%I 
%X In this paper,we adopt the finite element method to solve the three dimensional station- ary rotating Navier-Stokes Equations in primitive variables with mixed boundary conditions. The existence and uniqueness of the approximate problem are showed,and the optimal error estimate is obtained.We give the simple iterative algorithm for the approximate problem, and prove the convergence of this algorithm.To overcome the restriction of the computer resource in the case of three dimension,we use the compressed sparse row format to store the stiff matrix.Then the GMRES method with an incomplete LU preconditioner is adopted to solve the linear system of equations.We analyze the advantage of the simple iterative method over Newton method at last.The numerical examples show that the more computational time has saved by the simple iterative method than the Newton method.
%K Rotating Navier-Stokes equations
%K Finite Element Method
%K Simple iterative method
%K Optimal error estimate<br>旋转Navier-Stokes方程
%K 原始变量有限元
%K 简单迭代
%K 最优误差估计
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=9EC0899ACD0FF3B1DEB4A5736EA43069&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=38B194292C032A66&sid=6CCE24D86D03D083&eid=28F9D9CF04F424FF&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=14