Multi-mesh Adaptive Finite Element Algorithms for Constrained Optimal Control Problems Governed By Semi-Linear Parabolic Equations

作者：Chen Tie jun^*; Xiao Jian xin; Wang Hui ying

来源：Acta Mathematicae Applicatae Sinica-English Series, 2014, 30(2): 411-428.

DOI：10.1007/s10255-014-0292-0

• semi-linear parabolic equations
• constrained optimal control problems
• adaptive finite element methods
• a posteriori error estimators

In this paper, we derive a posteriori error estimators for the constrained optimal control problems governed by semi-linear parabolic equations under some assumptions. Then we use them to construct reliable and efficient multi-mesh adaptive finite element algorithms for the optimal control problems. Some numerical experiments are presented to illustrate the theoretical results.

• 出版日期2014