覃燕梅¹, 冯民富²

1. 四川省高等学校数值仿真重点实验室/内江师范学院数学与信息科学学院, 四川内江 641112;
2. 四川大学数学学院, 成都 610064

收稿日期:2015-11-24出版日期:2016-12-15发布日期:2016-10-13
通讯作者:冯民富,E-mail:fmf@wtjs.cn.

基金资助:国家自然科学基金（编号：11271273），四川省教育厅自然科学基金（编号：16ZB0300）

A NEW L² PROJECTION METHOD FOR THE OPTIMAL CONTROL OF UNSTEADY OSEEN EQUATIONS

Qin Yanmei¹, Feng Minfu²

1. Key Laboratory of Numerical Simulation in the Sichuan Province/College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, Sichuan, China;
2. School of Mathematics, Sichuan University, Chengdu 610064, China

Received:2015-11-24Online:2016-12-15Published:2016-10-13







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对非定常Oseen方程最优控制问题分析了一种新型L²投影稳定化方法.空间采用工程上好用的多项式有限元P_l/P_l（l≥1）逼近，时间采用中心差分离散.该稳定化方法对速度和压力分别采用全局或局部L²投影，不仅绕开了inf-sup条件对等阶元的束缚，而且克服了雷诺数较大，对流占优造成的解的震荡.该方法特点是，所有计算只需要在同一套网格上执行，不需要嵌套的网格或将速度和压力的梯度投影到粗网格上进行计算.给出了详细的误差分析，误差结果与雷诺数一致，且数值解的L²误差与雷诺数无关.
MR(2010)主题分类:
49J20
49K20
65M12
65M60

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