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

页码：688 / 704

页数：17

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