摘要
本文研究了带有阻尼项的定常Stokes方程,证明了弱解的存在唯一性.得到了有限元逼近问题适定性,给出了有限元逼近误差,并提出了求解逼近解的迭代算法.数值算例表明算法是正确的和有效的.
In this paper, We consider the stationary Stokes equations with damping. Existence and uniqueness of the weak solution is proved. The finite element approximate problems are proved to be well posed. Some error estimates are derived. The iterative algorithm for solving approximate solutions is presented, and the numerical examples indicate that it is reasonable and correct.
出处
《计算数学》
CSCD
北大核心
2010年第4期433-448,共16页
Mathematica Numerica Sinica
基金
国家自然科学基金(10971165
10771167
10901131)资助项目
关键词
STOKES方程
阻尼项
协调有限元
误差估计
Stokes Equations
Damped Term
Conforming Finite Element Method
Error Estimation