A MORLEY FINITE ELEMENT METHOD FOR AN ELLIPTIC DISTRIBUTED OPTIMAL CONTROL PROBLEM WITH POINTWISE STATE AND CONTROL CONSTRAINTS

被引：14

作者：

Brenner, Susanne C. ^{[1
,2
,3
]}

Gudi, Thirupathi ^{[4
]}

Porwal, Kamana ^{[1
,2
]}

Sung, Li-yeng ^{[1
,2
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

[3] Indian Inst Sci, Bangalore 56001, Karnataka, India

[4] Indian Inst Sci, Dept Math, Bangalore 56001, Karnataka, India

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2018年 / 24卷 / 03期

基金：

美国国家科学基金会;

关键词：

Elliptic distributed optimal control problem; pointwise state and control constraints; fourth order variational inequality; Morley element; BOUNDARY-VALUE-PROBLEMS; PRIMAL-DUAL STRATEGY; APPROXIMATION; REGULARITY;

D O I：

10.1051/cocv/2017031

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We design and analyze a Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints on convex polygonal domains. It is based on the formulation of the optimal control problem as a fourth order variational inequality. Numerical results that illustrate the performance of the method are also presented.

引用

页码：1181 / 1206

页数：26

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