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Laboratoire Jacques-Louis Lions
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Laboratoire Jacques-Louis Lions
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Inria Nancy - Grand Est
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Institut de Recherche Mathématique Avancée
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Centre de Mathématiques Appliquées - Ecole Polytechnique
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Inria de Paris
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Institut Élie Cartan de Lorraine
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Departamento de Matemáticas [Madrid]
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Inria Saclay - Ile de France
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Institute for Analysis and Scientific Computing [Wien]
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Science des Procédés Céramiques et de Traitements de Surface
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Basque Center for Applied Mathematics
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Institut Universitaire de France
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Institut de Recherche Mathématique de Rennes
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School of Mathematics and Statistics [Wuhan]
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Warwick Mathematics Institute
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Optimal control
(72)
Homogenization
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Asymptotic analysis
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(42)
Mathematical biology
(39)
Finite element method
(37)
Shape optimization
(37)
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(32)
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hal-00450646
v1
Journal articles
Hassan Khalil
,
Stéphane Bila
,
Michel Aubourg
,
Dominique Baillargeat
,
Serge Verdeyme
et al.
Shape optimized design of microwave dielectric resonators by level set and topology gradient methods
International Journal of RF and Microwave Computer-Aided Engineering
, Wiley, 2010, 20, pp.33-41.
⟨10.1002/mmce.20400⟩
hal-01295457
v4
Journal articles
Jimmy Lamboley
,
Antoine Laurain
,
Grégoire Nadin
,
Yannick Privat
.
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
Calculus of Variations and Partial Differential Equations
, Springer Verlag, 2016, 55 (6)
tel-01397189
v1
Theses
Pierre Jounieaux
.
Optimisation de la forme des zones d'observation pour l'équation des ondes. Applications à la tomographie photoacoustique
Modélisation et simulation. Université Pierre et Marie Curie - Paris VI, 2016. Français.
⟨NNT : 2016PA066131⟩
hal-01261810
v3
Journal articles
Yannick Privat
,
Emmanuel Trélat
,
Enrique Zuazua
.
Actuator design for parabolic distributed parameter systems with the moment method
SIAM Journal on Control and Optimization
, Society for Industrial and Applied Mathematics, 2017, 55 (2), pp.1128--1152
hal-03214181
v1
Journal articles
Bohdan Bulanyi
,
Antoine Lemenant
.
Regularity for the planar optimal p-compliance problem
ESAIM: Control, Optimisation and Calculus of Variations
, EDP Sciences, 2021, 27, pp.35.
⟨10.1051/cocv/2021035⟩
hal-03155540
v1
Journal articles
Antoine Henrot
,
Idriss Mazari
,
Yannick Privat
.
Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations
ESAIM: Control, Optimisation and Calculus of Variations
, EDP Sciences, 2021, 27 (S6), pp.32.
⟨10.1051/cocv/2020052⟩
hal-00564109
v1
Reports
Antoine Lemenant
,
Edoardo Mainini
.
On convex sets that minimize the average distance.
2011
tel-00916224
v1
Theses
Charles Dapogny
.
Optimisation de formes, méthode des lignes de niveaux sur maillages non structurés et évolution de maillages
Equations aux dérivées partielles [math.AP]. Université Pierre et Marie Curie - Paris VI, 2013. Français
hal-01899357
v1
Conference papers
Damien Lachouette
,
Philippe Conraux
,
Grégoire Allaire
,
François Jouve
.
TOPOLEV: Topological optimization using level-set method
13e colloque national en calcul des structures
, Université Paris-Saclay, May 2017, Giens, Var, France
tel-01767013
v2
Theses
Chiara Nardoni
.
Mesh deformation strategies in shape optimization. Application to forensic facial reconstruction
Modeling and Simulation. Université Pierre et Marie Curie - Paris VI, 2017. English.
⟨NNT : 2017PA066248⟩
tel-00212070
v1
Theses
Térence Bayen
.
Optimisation de forme dans la classe des corps de largeur constante et des rotors.
Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2007. Français
hal-00683556
v2
Journal articles
Yannick Privat
,
Emmanuel Trélat
,
Enrique Zuazua
.
Optimal location of controllers for the one-dimensional wave equation
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis
, Elsevier, 2013, 30 (6), pp.1097--1126.
⟨10.1016/j.anihpc.2012.11.005⟩
hal-00871135
v2
Journal articles
Gilles Marck
,
Grégoire Nadin
,
Yannick Privat
.
What is the optimal shape of a fin for one dimensional heat conduction?
SIAM Journal on Applied Mathematics
, Society for Industrial and Applied Mathematics, 2014, 74 (4), pp.1194--1218.
⟨10.1137/130941377⟩
tel-01080304
v1
Habilitation à diriger des recherches
Yannick Privat
.
Optimisation de forme et application à l'observation et au contrôle d'équations aux dérivées partielles
Equations aux dérivées partielles [math.AP]. université Pierre et Marie Curie, 2014
hal-01079515
v1
Journal articles
Grégoire Allaire
,
François Jouve
,
Anca-Maria Toader
.
Structural optimization using sensitivity analysis and a level-set meth
Journal of Computational Physics
, Elsevier, 2004, 194, pp.363-393.
⟨10.1016/j.jcp.2003.09.032⟩
tel-01918608
v2
Theses
Florian Omnès
.
Geometry optimization applied to incompressible fluid mechanics
Analysis of PDEs [math.AP]. Sorbonne Université, 2018. English.
⟨NNT : 2018SORUS278⟩
hal-01487635
v1
Conference papers
François Jouve
,
Houari Mechkour
.
Conception optimale de mécanismes compliants par la méthode des lignes de niveaux
8e Colloque national en calcul des structures
, CSMA, May 2007, Giens, France
hal-02987223
v1
Preprints, Working Papers, ...
Idriss Mazari
,
Grégoire Nadin
,
Yannick Privat
.
Some challenging optimisation problems for logistic diffusive equations and numerical issues
2020
hal-03230860
v2
Journal articles
Idriss Mazari
,
Grégoire Nadin
,
Yannick Privat
.
Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate
Communications in Partial Differential Equations
, Taylor & Francis, 2021, 47 (4), pp.797-828.
⟨10.1080/03605302.2021.2007533⟩
hal-03472623
v2
Journal articles
Yannick Privat
,
Rémi Robin
,
Mario Sigalotti
.
Optimal shape of stellarators for magnetic confinement fusion
Journal de Mathématiques Pures et Appliquées
, Elsevier, In press,
⟨10.1016/j.matpur.2022.05.005⟩
tel-02905887
v4
Theses
Idriss Mazari
.
Shape optimization and spatial heterogeneity in reaction-diffusion equations
Analysis of PDEs [math.AP]. Sorbonne Université, 2020. English.
⟨NNT : 2020SORUS224⟩
hal-00918896
v2
Journal articles
Grégoire Allaire
,
Charles Dapogny
.
A linearized approach to worst-case design in parametric and geometric shape optimization
Mathematical Models and Methods in Applied Sciences
, World Scientific Publishing, 2014, 24 (11), pp.2199-2257.
⟨10.1142/S0218202514500195⟩
hal-02352540
v2
Preprints, Working Papers, ...
Antoine Henrot
,
Idriss Mazari
,
Yannick Privat
.
Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations
2020
hal-01872896
v2
Journal articles
Yannick Privat
,
Emmanuel Trélat
,
Enrique Zuazua
.
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions
Calculus of Variations and Partial Differential Equations
, Springer Verlag, 2019, 58 (2), pp.64.
⟨10.1007/s00526-019-1522-3⟩
hal-00563289
v1
Journal articles
Hassan Khalil
,
Stéphane Bila
,
Michel Aubourg
,
Dominique Baillargeat
,
Serge Verdeyme
et al.
Shape optimization of a dielectric resonator for improving its unloaded quality factor
International Journal of RF and Microwave Computer-Aided Engineering
, Wiley, 2011, 21, pp.120-126.
⟨10.1002/mmce.20496⟩
hal-01579886
v3
Preprints, Working Papers, ...
Matthieu Bonnivard
,
Florian Omnès
,
Yannick Privat
.
Modeling and optimization of hourglass-shaped aquaporins
2017
hal-01558851
v1
Journal articles
Kentaro Yaji
,
Masaki Otomori
,
Takayuki Yamada
,
Kazuhiro Izui
,
Shinji Nishiwaki
et al.
Shape and topology optimization based on the convected level set method
Structural and Multidisciplinary Optimization
, Springer Verlag (Germany), 2016, 283, pp.1214 - 672.
⟨10.1007/s00158-016-1444-z⟩
hal-01607046
v4
Journal articles
Idriss Mazari
,
Grégoire Nadin
,
Yannick Privat
.
Optimal location of resources maximizing the total population size in logistic models
Journal de Mathématiques Pures et Appliquées
, Elsevier, 2020, 134, pp.1-35.
⟨10.1016/j.matpur.2019.10.008⟩
hal-00784048
v1
Journal articles
Grégoire Allaire
,
François Jouve
,
Nicolas van Goethem
.
Damage and fracture evolution in brittle materials by shape optimization methods
Journal of Computational Physics
, Elsevier, 2011, 230 (12), pp.5010--5044
hal-01753911
v1
Preprints, Working Papers, ...
Alexandre Delyon
,
Antoine Henrot
,
Yannick Privat
.
Non-dispersal and density properties of infinite packings
2018
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