A cubic C0 interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints

被引：7

作者：

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

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

Tan, Zhiyu ^{[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

来源：

RESULTS IN APPLIED MATHEMATICS | 2020年 / 7卷 / 07期

基金：

美国国家科学基金会;

关键词：

Elliptic distributed optimal control problems; Pointwise state and control constraints; C-0 interior penalty methods; Cubic Hermite finite element; FINITE-ELEMENT APPROXIMATION; PRIMAL-DUAL STRATEGY; REGULARIZATION;

D O I：

10.1016/j.rinam.2020.100119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We design and analyze a cubic C-0 interior penalty method for linear-quadratic elliptic distributed optimal control problems with pointwise state and control constraints. Numerical results that corroborate the theoretical error estimates are also presented. (C) 2020 The Authors. Published by Elsevier B.V.

引用

页数：19

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