A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems  

作　　者：Xianbing Luo Yanping Chen Yunqing Huang 

机构地区：[1]School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,Hunan,China [2]School ofMathematical Sciences,South China Normal University,Guangzhou 510631,Guangdong,China [3]School of Science,Guizhou University,Guiyang 550025,Guizhou,China

出　　处：《Advances in Applied Mathematics and Mechanics》2013年第5期688-704,共17页应用数学与力学进展（英文）

基　　金：This work is supported by National Natural Science Foundation of China(Grant Nos.11271145 and 11031006);Foundation of Guizhou Science and Technology Department(Grant No.[2011]2098);Foundation for Talent Introduction of Guangdong Provincial University,Specialized Research Fund for the Doctoral Programof Higher Education(Grant No.20114407110009);the Project of Department of Education of Guangdong Province(Grant No.2012KJCX0036).

摘　　要：In this paper,the Crank-Nicolson linear finite volume element method is applied to solve the distributed optimal control problems governed by a parabolic equation.The optimal convergent order O(h^(2)+k^(2))is obtained for the numerical solution in a discrete L^(2)-norm.A numerical experiment is presented to test the theoretical result.

关 键 词：Variational discretization parabolic optimal control problems finite volume element method distributed control CRANK-NICOLSON 

分 类 号：O17[理学—数学]