Finite Element Approximation of Semilinear Parabolic Optimal Control Problems  

作　　者：Hongfei Fu Hongxing Rui 

机构地区：[1]School of Mathematics and Computational Science,China University of Petroleum,Qingdao,266555,China [2]School of Mathematics,Shandong University,Jinan 250100,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2011年第4期489-504,共16页高等学校计算数学学报（英文版）

基　　金：supported by the National Basic Research Program of China(No.2007CB814906);the National Natural Science Foundation of China(No.10771124)。

摘　　要：In this paper,the finite element approximation of a class of semilinear parabolic optimal control problems with pointwise control constraint is studied.We discretize the state and co-state variables by piecewise linear continuous functions,and the control variable is approximated by piecewise constant functions or piecewise linear discontinuous functions.Some a priori error estimates are derived for both the control and state approximations.The convergence orders are also obtained.

关 键 词：Finite element approximation semilinear parabolic optimal control pointwise control constraint a priori error estimates 

分 类 号：O17[理学—数学]