A PRIORI ERROR ESTIMATES FOR A STATE-CONSTRAINED ELLIPTIC OPTIMAL CONTROL PROBLEM

被引：14

作者：

Roesch, Arnd ^{[1
]}

Steinig, Simeon ^{[2
]}

机构：

[1] Univ Duisburg Essen, Fak Math, D-47057 Duisburg, Germany

[2] Univ Stuttgart, Inst Angew Anal & Numer Simulat, D-70569 Stuttgart, Germany

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2012年 / 46卷 / 05期

关键词：

Elliptic optimal control problem; state constraint; a priori error estimates; REGULAR LAGRANGE MULTIPLIERS; FINITE-ELEMENT APPROXIMATION; ACTIVE SET STRATEGY; POINTWISE CONTROL; CONVERGENCE; EQUATIONS; BOUNDARY;

D O I：

10.1051/m2an/2011076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine an elliptic optimal control problem with control and state constraints in R-3. An improved error estimate of O(h(s)) with 3/4 <= s <= 1-epsilon is proven for a discretisation involving piecewise constant functions for the control and piecewise linear for the state. The derived order of convergence is illustrated by a numerical example.

引用

页码：1107 / 1120

页数：14

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