Proceedings of the 2016 International Conference on Intelligent Control and Computer Application

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Numerical Analysis of the Elliptic Optimal Control Problem with $L^p$-norm State Constraints

Authors
Haifeng Niu, Jiansong Zhang, Liuwei Zhang, Yanwei Tian
Corresponding Author
Haifeng Niu
Available Online January 2016.
DOI
10.2991/icca-16.2016.49How to use a DOI?
Keywords
Elliptic control, State constraint, Finite element method, Error estimates
Abstract

An optimal control problem governed by an elliptic equations with an $L^p$-norm state constraint is analyzed. The finite element approximation and its optimal a priori estimates are given. The numerical experiments are performed to confirm the a priori estimates.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 International Conference on Intelligent Control and Computer Application
Series
Advances in Computer Science Research
Publication Date
January 2016
ISBN
978-94-6252-154-4
ISSN
2352-538X
DOI
10.2991/icca-16.2016.49How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Haifeng Niu
AU  - Jiansong Zhang
AU  - Liuwei Zhang
AU  - Yanwei Tian
PY  - 2016/01
DA  - 2016/01
TI  - Numerical Analysis of the Elliptic Optimal Control Problem with $L^p$-norm State Constraints
BT  - Proceedings of the 2016 International Conference on Intelligent Control and Computer Application
PB  - Atlantis Press
SP  - 213
EP  - 216
SN  - 2352-538X
UR  - https://doi.org/10.2991/icca-16.2016.49
DO  - 10.2991/icca-16.2016.49
ID  - Niu2016/01
ER  -