Numerical approximation for a time optimal control problems governed by semi-linear heat equations

被引：5

作者：

Zheng, Guojie ^{[1
,2
]}

Yin, Jingben ^{[3
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

[2] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa

[3] Henan Inst Sci & Technol, Dept Math, Xinxiang 453003, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

heat equation; time optimal control; finite element methods; numerical approximation;

D O I：

10.1186/1687-1847-2014-94

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the optimal time for a time optimal control problem , governed by an internally controlled semi-linear heat equation. By projecting the original problem via the finite element method, we obtain another time optimal control problem governed by a semi-linear system of ordinary differential equations. Here, h is the mesh sizes of the finite element spaces. The purpose of this study is to approach the optimal time for the problem through the optimal time for the problem . We obtain error estimates between the optimal times in terms of h.

引用

页数：7

共 11 条

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