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

被引：3
|
作者：
Luo, Xianbing [1 ,3 ]
Chen, Yanping [2 ]
Huang, Yunqing [1 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[3] Guizhou Univ, Sch Sci, Guiyang 550025, Guizhou, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2013年 / 5卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Variational discretization; parabolic optimal control problems; finite volume element method; distributed control; Crank-Nicolson; SPECTRAL METHOD; EQUATIONS; SUPERCONVERGENCE;
D O I：
10.4208/aamm.12-m1296
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：688 / 704
页数：17
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