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带有阻尼项的Stokes方程的有限元分析 被引量：5

FINITE ELEMENT ANALYSIS OF THE STOKES EQUATIONS WITH DAMPING
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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.
作者 刘德民 李开泰
机构地区 西安交通大学理学院 新疆大学数学与系统科学学院
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
分类号 O241.82 [理学—计算数学]
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参考文献14

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二级参考文献26

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计算数学
2010年 第4期

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