Adaptive finite element approximation for a class of parameter estimation problems

详细信息    查看全文

• 作者：Yanzhen Chang^a ; ^{changyz@mail.buct.edu.cn" class="auth_mail} ; Danping Yang^b ; ^{dpyang@math.ecnu.edu.cn" class="auth_mail} ; Zhijuan Zhang^c ; ^{zhangzhijuan@ncu.edu.cn" class="auth_mail}
• 关键词：Optimal control problem ; Finite element approximation ; Adaptive multi-meshes method
• 刊名：Applied Mathematics and Computation
• 出版年：15 March, 2014
• 年：2014
• 卷：231
• 期：Complete
• 页码：284-298
• 全文大小：465 K

文摘

In this paper, we investigate the finite element approximation of a class of parameter estimation problems which are the form of performance as the optimal control problems governed by bilinear parabolic equations. We propose to use adaptive multi-meshes in developing efficient algorithms for the estimation problems. We derive a posteriori error estimators for both the control and state approximations, which particularly suit an adaptive multi-meshes finite element scheme. The error estimators are then implemented and tested with promising numerical results.