A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints

被引：18
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：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2021年 / 31卷 / 14期
基金：
美国国家科学基金会;
关键词：
Elliptic distributed optimal control problems; pointwise state constraints; C-1 virtual element method; INTERIOR PENALTY METHODS; PRIMAL-DUAL STRATEGY; APPROXIMATION; CONVERGENCE; REGULARITY; DOMAINS;
D O I：
10.1142/S0218202521500640
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We design and analyze a C-1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints. Theoretical estimates and corroborating numerical results are presented.
引用
收藏
页码：2887 / 2906
页数：20
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