Glowinski and numerical control problems

This paper is devoted to recall several contributions to the numerical control of PDE’s that have origin in Glowinski’s work. I will consider null controllability problems for linear and nonlinear heat equations and some free-boundary systems. We will also deal with some bi-objective optimal control...

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Main Author: Fernández-Cara, Enrique
Format: Article
Language:English
Published: Académie des sciences 2023-04-01
Series:Comptes Rendus. Mécanique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.177/
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author Fernández-Cara, Enrique
author_facet Fernández-Cara, Enrique
author_sort Fernández-Cara, Enrique
collection DOAJ
description This paper is devoted to recall several contributions to the numerical control of PDE’s that have origin in Glowinski’s work. I will consider null controllability problems for linear and nonlinear heat equations and some free-boundary systems. We will also deal with some bi-objective optimal control problems. Additionally, some new methods and results will be announced.
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institution Kabale University
issn 1873-7234
language English
publishDate 2023-04-01
publisher Académie des sciences
record_format Article
series Comptes Rendus. Mécanique
spelling doaj-art-cded3d7d96ee42e4acd08a421862f5642025-02-07T13:46:20ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-04-01351S141143010.5802/crmeca.17710.5802/crmeca.177Glowinski and numerical control problemsFernández-Cara, Enrique0University of Sevilla, Dep. EDAN and IMUS, Univ. of Sevilla, Aptdo. 1160, 41080 Sevilla, Spain.This paper is devoted to recall several contributions to the numerical control of PDE’s that have origin in Glowinski’s work. I will consider null controllability problems for linear and nonlinear heat equations and some free-boundary systems. We will also deal with some bi-objective optimal control problems. Additionally, some new methods and results will be announced.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.177/Controllability of linear and nonlinear PDE’scontrol of free-boundary problemsbi-objective optimal control problemsNash equilibrianumerical methods
spellingShingle Fernández-Cara, Enrique
Glowinski and numerical control problems
Comptes Rendus. Mécanique
Controllability of linear and nonlinear PDE’s
control of free-boundary problems
bi-objective optimal control problems
Nash equilibria
numerical methods
title Glowinski and numerical control problems
title_full Glowinski and numerical control problems
title_fullStr Glowinski and numerical control problems
title_full_unstemmed Glowinski and numerical control problems
title_short Glowinski and numerical control problems
title_sort glowinski and numerical control problems
topic Controllability of linear and nonlinear PDE’s
control of free-boundary problems
bi-objective optimal control problems
Nash equilibria
numerical methods
url https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.177/
work_keys_str_mv AT fernandezcaraenrique glowinskiandnumericalcontrolproblems