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

被引：13
|
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
收藏
页码：1107 / 1120
页数：14
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