唐跃龙, 华玉春

湖南科技学院, 永州 425199

收稿日期:2020-06-30出版日期:2021-11-14发布日期:2021-11-12


基金资助:国家自然科学基金项目（11401201），湖南省自然科学基金项目（2020JJ4323），湖南省教育厅科学研究项目（20A211，20C0854），湖南科技学院科学研究项目（18XKY063，20XKY059），湖南科技学院应用特色学科建设项目资助.

SUPERCONVERGENCE ANALYSIS OF SPLITTING POSITIVE DEFINITE MIXED FINITE ELEMENT FOR ELLIPTIC OPTIMAL CONTROL PROBLEM

Tang Yuelong, Hua Yuchun

Hunan University of Science and Engineering, Yongzhou 425199, China

Received:2020-06-30Online:2021-11-14Published:2021-11-12







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首先利用变分原理和最优化理论得到了原问题的等价最优性条件；其次构造了椭圆最优控制问题分裂正定混合有限元方法的逼近格式；再次通过引入一些重要的中间变量和投影算子，并利用投影算子的相关性质，结合分裂正定混合有限元本身的逼近结果，得到了椭圆最优控制问题分裂正定混合有限元方法的超收敛性；最后数值实验结果验证了所得理论结果的正确性.
MR(2010)主题分类:
35J20
49J20
65N30
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[1]	李先崇, 孙萍, 安静, 罗振东. 粘弹性方程一种新的分裂正定混合元法[J]. 计算数学, 2013, 35(1): 49-58.

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