An adaptive numerical method for semi-infinite elliptic control problems based on error estimates

被引：4

作者：

Merino, Pedro ^{[1
]}

Neitzel, Ira ^{[2
]}

Troeltzsch, Fredi ^{[3
]}

机构：

[1] Escuela Politec Nacl, Dept Matemat, MODEMAT, Res Ctr Math Modelling, Quito, Ecuador

[2] Tech Univ Munich, Ctr Math Sci M17, D-85748 Garching, Germany

[3] Tech Univ Berlin, Fak Math & Nat Wissensch 2, D-10623 Berlin, Germany

来源：

OPTIMIZATION METHODS & SOFTWARE | 2015年 / 30卷 / 03期

基金：

奥地利科学基金会;

关键词：

optimal control; elliptic partial differential equation; FEM; semi-infinite programming; numerical methods; OPTIMALITY;

D O I：

10.1080/10556788.2014.932789

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We discuss numerical reduction methods for an optimal control problem of semi-infinite type with finitely many control parameters but infinitely many constraints. We invoke known a priori error estimates to reduce the number of constraints. In a first strategy, we apply uniformly refined meshes, whereas in a second more heuristic strategy we use adaptive mesh refinement and provide an a posteriori error estimate for the control based on perturbation arguments.

引用

页码：492 / 515

页数：24

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