A cubic C0 interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints-Reference-Cited by-同舟云学术

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

Published:2020-08 Issue: Volume:7 Page:100119
ISSN:2590-0374
Container-title:Results in Applied Mathematics
language:en
Short-container-title:Results in Applied Mathematics

Author:

Brenner Susanne C.,Sung Li-yeng,Tan Zhiyu

Funder

National Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference47 articles.

1. Sobolev spaces;Adams,2003

2. The finite element method for elliptic problems;Ciarlet,1978

3. The mathematical theory of finite element methods;Brenner,2008

4. Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints;Meyer;Control Cybernet,2008

5. A posteriori error estimates for optimal control problems with state and control constraints;Rösch;Numer Math,2012

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