A POSTERIORI ERROR ESTIMATE FOR BOUNDARY CONTROL PROBLEMS GOVERNED BY THE PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Gong, Wei ^{[1
]}

Yan, Ningning ^{[1
]}

机构：

[1] Chinese Acad Sci, LSEC, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2009年 / 27卷 / 01期

关键词：

Boundary control problems; Finite element method; A posteriori error estimate; Parabolic partial differential equations; FINITE-ELEMENT METHODS; APPROXIMATION; CONVERGENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the a posteriori error estimate of the finite element approximation for the boundary control problems governed by the parabolic partial differential equations. Three different a posteriori error estimators are provided for the parabolic boundary control problems with the observations of the distributed state, the boundary state and the final state. It is proven that these estimators are reliable bounds of the finite element approximation errors, which can be used as the indicators of the mesh refinement in adaptive finite element methods.

引用

页码：68 / 88

页数：21

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