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Delfour, Michel Claude

Author ID: delfour.michel-c Recent zbMATH articles by "Delfour, Michel Claude"
Published as: Delfour, Michel C.; Delfour, M. C.; Delfour, M.; Delfour, Michel; Delfour, M.-C.
Homepage: https://dms.umontreal.ca/en/departmental-directory/professors/portrait/delfour
External Links: MGP · Wikidata · dblp · GND · IdRef
all top 5

Co-Authors

40 single-authored
58 Zolésio, Jean-Paul
17 Mitter, Sanjoy K.
13 Garon, André
5 Da Prato, Giuseppe
5 Manitius, Andrzej Z.
4 Bensoussan, Alain
3 Doyon, Nicolas
3 Dubeau, François
3 Fortin, Michel
3 Morgan, Jacqueline
3 Trochu, Francois
2 Bandrauk, André D.
2 Haurie, Alain B.
2 Le Bris, Claude
2 Rideau, P.
2 Urquiza, José Manuel
2 Yang, Geng
1 Amouroux, Marcel
1 Araya, Rodrigo
1 Aubrun, J.-N.
1 Babary, Jean-Pierre
1 Bahar, Leon Y.
1 Baillieul, John B.
1 Balas, Mark J.
1 Banks, Harvey Thomas
1 Bar-Kana, Izhak
1 Bayard, David S.
1 Bentsman, Joseph
1 Bernadou, Michel
1 Bertoni, Gianni
1 Blanchet, Guillaume
1 Bontsema, Jan
1 Boussalis, Dhemetrios
1 Brisbane, T. E.
1 Burke, Shawn E.
1 Burns, John A.
1 Capitani, Gloria
1 Chalifour, Alain
1 Chen, Goong
1 Chen, Jay Chung
1 Cliff, Eugene M.
1 Couture-Peck, Danika
1 Curtain, Ruth Frances
1 de Lafontaine, Jean
1 Dehaes, Mathieu
1 Dri, D. N’
1 El Bagdouri, M.
1 El Hassan, Mouhammad
1 El Jai, Abdelhaq
1 Eldred, D.
1 Fathi, Zohreh
1 Felippe de Souza, J. A. M.
1 Fiagbedzi, Yawvi A.
1 Fischl, Robert
1 Forrest-Barlach, M. G.
1 Garba, John A.
1 Gay, D. H.
1 Graham, John W.
1 Hadaegh, Fred Y.
1 Hager, William W.
1 Havas, T. W.
1 Helferty, John J.
1 Henninger, W. C.
1 Herczfeld, P. R.
1 Hubbard, James E. jun.
1 Huot-Chantal, Francis
1 Ih, Che-Hang Charles
1 Jarny, Yvon
1 Juang, Jer-Nan
1 Karrakchou, Jamila
1 Kaufman, Howard
1 Keyhani, Ali
1 Kojima, Fumio
1 Koski, Timo J. T.
1 Kotelenez, Peter M.
1 Krall, Allan M.
1 Kubrusly, Carlos S.
1 Kunisch, Karl
1 Lagnese, John E.
1 Lamontagne, Steven
1 Levan, Nhan
1 Levi, Mark L.
1 Lilly, John H.
1 Liu, Mingyan
1 Longo, Vito
1 Lorell, K. R.
1 Malebranche, Helios
1 Marshall, J. E.
1 Marzwell, N.
1 McCalla, Clement A. W.
1 Meerkov, Semyon M.
1 Meldrum, D. R.
1 Mghazli, Zoubida
1 Milman, Mark H.
1 Minnick, D.
1 Miri, S. Mohsen
1 Miron, Philippe
1 Modi, Vinod J.
1 Musalem, Andrés
1 N’dri, Donatien
...and 59 more Co-Authors
all top 5

Serials

10 SIAM Journal on Control and Optimization
5 Journal of Mathematical Analysis and Applications
5 Journal of Differential Equations
4 Journal of Computational Physics
4 Control and Cybernetics
4 SIAM Journal on Applied Mathematics
4 SIAM Journal on Control
4 Pure and Applied Functional Analysis
3 Mathematics of Computation
3 Applied Mathematics and Optimization
3 Journal of Convex Analysis
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
3 CRM Proceedings & Lecture Notes
3 Systems & Control: Foundations & Applications
3 Advances in Design and Control
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Automatica
2 Journal of Functional Analysis
2 SIAM Journal on Numerical Analysis
2 Optimal Control Applications & Methods
2 MOS/SIAM Series on Optimization
1 Computer Methods in Applied Mechanics and Engineering
1 Annales des Sciences Mathématiques du Québec
1 Canadian Journal of Mathematics
1 IEEE Transactions on Automatic Control
1 Journal of Optimization Theory and Applications
1 Numerische Mathematik
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Numerical Mathematics
1 Optimization
1 Comptes Rendus de l’Académie des Sciences. Série I
1 SIAM Journal on Optimization
1 Communications in Numerical Methods in Engineering
1 Applicationes Mathematicae
1 Journal of Inverse and Ill-Posed Problems
1 Advances in Computational Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Journal of Evolution Equations
1 Communications on Pure and Applied Analysis
1 Communications in Information and Systems
1 IFAC Proceedings Series
1 NATO ASI Series. Series C. Mathematical and Physical Sciences

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 2,414 times in 1,966 Documents Cited by Year
Shapes and geometries. Metrics, analysis, differential calculus, and optimization. 2nd ed. Zbl 1251.49001
Delfour, M. C.; Zolésio, J.-P.
343
2011
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
260
2007
Shapes and geometries. Analysis, differential calculus, and optimization. Zbl 1002.49029
Delfour, M. C.; Zolésio, J.-P.
253
2001
Finite-difference solutions of a non-linear Schrödinger equation. Zbl 0477.65086
Delfour, M.; Fortin, M.; Payre, G.
167
1981
Modeling, stabilization and control of serially connected beams. Zbl 0621.93053
Chen, Goong; Delfour, M. C.; Krall, A. M.; Payre, G.
141
1987
Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
138
1992
Discontinuous Galerkin methods for ordinary differential equations. Zbl 0469.65053
Delfour, M.; Hager, W.; Trochu, F.
117
1981
Shape analysis via oriented distance functions. Zbl 0814.49032
Delfour, Michel C.; Zolésio, Jean-Paul
79
1994
Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
76
1993
The linear-quadratic optimal control problem with delays in state and control variables: A state space approach. Zbl 0606.93037
Delfour, M. C.
55
1986
Controllability, observability and optimal feedback control of affine hereditary differential systems. Zbl 0242.93011
Delfour, M. C.; Mitter, S. K.
53
1972
Coupling Stokes and Darcy equations. Zbl 1134.76033
Urquiza, J. M.; N’Dri, D.; Garon, A.; Delfour, M. C.
48
2008
Shape sensitivity analysis via min max differentiability. Zbl 0654.49010
Delfour, M. C.; Zolésio, J.-P.
41
1988
Hereditary differential systems with constant delays. I. General case. Zbl 0242.34055
Delfour, M. C.; Mitter, S. K.
31
1972
Velocity method and Lagrangian formulation for the computation of the shape Hessian. Zbl 0747.49007
Delfour, Michel C.; Zolésio, Jean-Paul
27
1991
Stability and the infinite-time quadratic cost problem for linear hereditary differential systems. Zbl 0297.49020
Delfour, M. C.; McCalla, C.; Mitter, S. K.
27
1975
The largest class of hereditary systems defining a \(C_0\) semigroup on the product space. Zbl 0448.34074
Delfour, M. C.
24
1980
An optimal triangulation for second-order elliptic problems. Zbl 0554.65077
Delfour, M.; Payre, G.; Zolesio, J.-P.
21
1985
A boundary differential equation for thin shells. Zbl 0827.73038
Delfour, M. C.; Zolésio, J. P.
20
1995
Hereditary differential systems with constant delays. II: A class of affine systems and the adjoint problem. Zbl 0303.34052
Delfour, M. C.; Mitter, S. K.
20
1975
Anatomy of the shape Hessian. Zbl 0770.49025
Delfour, M. C.; Zolésio, J. P.
19
1991
Oriented distance function and its evolution equation for initial sets with thin boundary. Zbl 1058.49034
Delfour, Michel C.
18
2004
Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations. Zbl 0633.65068
Delfour, M. C.; Dubeau, F.
18
1986
Structure of shape derivatives for nonsmooth domains. Zbl 0777.49030
Delfour, M. C.; Zolésio, J. P.
17
1992
Tangential differential equations for dynamical thin/shallow shells. Zbl 0852.73035
Delfour, M. C.; Zolésio, J. P.
16
1996
Approximation of nonlinear problems associated with radiating bodies in space. Zbl 0641.65092
Delfour, M. C.; Payre, G.; Zolésio, J.-P.
16
1987
The structural operator F and its role in the theory of retarded systems. II. Zbl 0464.34050
Delfour, M. C.; Manitius, A.
15
1980
The linear quadratic optimal control problem for hereditary differential systems: Theory and numerical solution. Zbl 0404.49010
Delfour, M. C.
15
1977
The structural operator F and its role in the theory of retarded systems. Zbl 0456.34041
Delfour, M. C.; Manitius, A.
14
1980
State theory of linear hereditary differential systems. Zbl 0358.34071
Delfour, M. C.
14
1977
Differential equations for linear shells: Comparison between intrinsic and classical models. Zbl 0899.73287
Delfour, Michel C.; Zolésio, Jean-Paul
13
1997
Controllability and oservability for infinite-dimensional systems. Zbl 0242.93012
Delfour, M. C.; Mitter, S. K.
13
1972
A numerical study of primal mixed finite element approximations of Darcy equations. Zbl 1125.76047
Urquiza, J. M.; Dri, D. N’; Garon, A.; Delfour, M. C.
12
2006
Reachability of perturbed systems and min sup problems. Zbl 0195.16204
Delfour, M. C.; Mitter, S. K.
12
1969
Shape analysis via distance functions: Local theory. Zbl 0955.49023
Delfour, Michel C.; Zolésio, Jean-Paul
11
1998
State space theory of linear time invariant systems with delays in state, control, and observation variables. I, II. Zbl 0643.93034
Delfour, M. C.; Karrakchou, J.
11
1987
Linear quadratic differential games: Saddle point and Riccati differential equation. Zbl 1140.91025
Delfour, Michel C.
8
2007
Shape sensitivity analysis via a penalization method. Zbl 0667.49004
Delfour, M. C.; Zolésio, J.-P.
8
1988
Linear optimal control of systems with state and control variable delays. Zbl 0541.93042
Delfour, M. C.
8
1984
Topological derivative: a semidifferential via the Minkowski content. Zbl 1410.49051
Delfour, Michel C.
8
2018
Shape identification via metrics constructed from the oriented distance function. Zbl 1167.49326
Delfour, Michel C.; Zolésio, Jean-Paul
7
2005
Control, shape, and topological derivatives via minimax differentiability of Lagrangians. Zbl 1416.49049
Delfour, Michel C.
7
2018
Parametric semidifferentiability of minimax of Lagrangians: averaged adjoint approach. Zbl 1380.49019
Delfour, Michel C.; Sturm, Kevin
7
2017
Linear quadratic differential games: closed loop saddle points. Zbl 1180.91014
Delfour, Michel C.; Sbarba, Olivier Dello
6
2009
Anisotropic mesh adaptation on Lagrangian coherent structures. Zbl 1284.37059
Miron, Philippe; Vétel, Jérôme; Garon, André; Delfour, Michel; El Hassan, Mouhammad
6
2012
Shape analysis and optimization: Lagrangian methods and applications. Zbl 0675.49010
Delfour, M. C.; Zolésio, J. P.
6
1989
Differentiability of a min max and application to optimal control and design problems. I. Zbl 0633.49005
Delfour, M. C.; Zolésio, J.-P.
5
1987
Supplement to: Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations. Zbl 0633.65069
Delfour, M. C.; Dubeau, F.
5
1986
Quantum control: Mathematical and numerical challenges. CRM workshop, October 6–11, 2002, Montréal, Canada. Zbl 1030.00043
5
2003
Oriented distance functions in shape analysis and optimization. Zbl 0822.49030
Delfour, Michel C.; Zolésio, Jean-Paul
5
1995
Introduction to optimization and semidifferential calculus. Zbl 1248.90001
Delfour, Michel C.
5
2012
Uniform fat segment and cusp properties for compactness in shape optimization. Zbl 1119.49034
Delfour, Michel C.; Zolesio, Jean-Paul
4
2007
The new family of cracked sets and the image segmentation problem revisited. Zbl 1087.94008
Delfour, Michel C.; Zolésio, Jean-Paul
4
2004
Tangential calculus and shape derivatives. Zbl 1029.49035
Delfour, Michel C.; Zolésio, Jean-Paul
4
2001
Tangential differential calculus and functional analysis on a \(C^{1,1}\) submanifold. Zbl 0977.58004
Delfour, Michel C.
4
2000
Shape Hessian by the velocity method: A Lagrangian approach. Zbl 0784.93048
Delfour, M. C.; Zolésio, J. P.
4
1990
Numerical solution of the operator Riccati equation for the filtering of linear stochastic hereditary differential systems. Zbl 0346.93042
Delfour, M. C.
4
1976
Representation theory for linear infinite dimensional continuous time systems. Zbl 0375.93020
Bensoussan, A.; Delfour, M. C.; Mitter, S. K.
4
1976
F-reduction of the operator Riccati equation for hereditary differential systems. Zbl 0405.49027
Delfour, M. C.; Lee, E. B.; Manitius, A.
4
1978
Dérivation d’un Min Max et application à la dérivation par rapport au contrôle d’une observation non différentiable de l’état (Differentiability of a Min Max and application to a non differentiable cost function in optimal control). Zbl 0589.49006
Delfour, Michel; Zolésio, Jean-Paul
4
1986
Modeling and design of coated stents to optimize the effect of the dose. Zbl 1075.92033
Delfour, Michel C.; Garon, Andre; Longo, Vito
3
2005
On the design and control of systems governed by differential equations on submanifolds. Zbl 0856.58041
Delfour, Michel C.; Zolésio, Jean-Paul
3
1996
Differentiability of a min max and application to optimal control and design problems. II. Zbl 0633.49006
Delfour, M. C.; Zolésio, J.-P.
3
1987
Transfinite interpolations for free and moving boundary problems. Zbl 1455.65020
Delfour, Michel C.; Garon, André
3
2019
Hadamard semidifferential of functions on an unstructured subset of a TVS. Zbl 1467.58005
Delfour, Michel C.
3
2020
Topological derivative of state-constrained objective functions: a direct method. Zbl 1500.49023
Delfour, Michel C.
3
2022
Error analysis of mixed finite elements for cylindrical shells. Zbl 0958.74075
Yang, Geng; Delfour, Michel C.; Fortin, Michel
3
1999
Linear hereditary differential systems and their control. Zbl 0317.49018
Delfour, M. C.
3
1974
Control systems with delays: areas of applications and present status of the linear theory. Zbl 0401.93001
Delfour, M. C.; Manitius, A.
3
1977
Hidden boundary smoothness for some classes of differential equations on submanifolds. Zbl 0903.35011
Delfour, Michel C.; Zolésio, Jean-Paul
3
1997
Introduction to optimization and Hadamard semidifferential calculus. 2nd edition. Zbl 1434.90001
Delfour, Michel C.
3
2020
Evolution equations for shapes and geometries. Zbl 1109.35025
Delfour, Michel C.; Zolésio, Jean-Paul
3
2006
Discontinuous finite element methods for the approximation of optimal control problems governed by hereditary differential systems. Zbl 0498.49017
Delfour, M. C.; Trochu, F.
2
1978
Approximation des équations différentielles et problèmes de commande optimale. Zbl 0418.65035
Delfour, Michel; Trochu, Francois
2
1977
Representations of hypersurfaces and minimal smoothness of the midsurface in the theory of shells. Zbl 1260.53018
Delfour, Michel C.
2
2008
A complement to the differentiability of saddle points and min-max. Zbl 0774.49018
Delfour, M. C.; Morgan, J.
2
1992
Shape derivatives and differentiability of min max. Zbl 0780.49029
Delfour, Michel C.
2
1992
Dynamical free boundary problem for an incompressible potential fluid flow in a time-varying domain. Zbl 1061.35075
Delfour, M. C.; Zolésio, J.-P.
2
2004
Intrinsic differential geometric methods in the asymptotic analysis of linear thin shells. Zbl 0916.73023
Delfour, Michel C.
2
1998
Computation of shape gradients for mixed finite element formulation. Zbl 0883.35006
Delfour, Michel C.; Mghazli, Zoubida; Zolésio, Jean-Paul
2
1997
Shape derivatives for nonsmooth domains. Zbl 0792.49030
Delfour, M. C.; Zolésio, J. P.
2
1991
Stabilization of hyperbolic systems using concentrated sensors and actuators. Zbl 0634.93059
Delfour, Michel C.; Lagnese, John; Polis, Michael P.
2
1986
Optimal parametrized design of thermal diffusers for communication satellites. Zbl 0596.49019
Delfour, M. C.; Payre, G.; Zolesio, J.-P.
2
1986
Three-dimensional quadratic model of paclitaxel release from biodegradable polymer films. Zbl 1345.92066
Garon, André; Delfour, Michel C.
2
2014
Intrinsic \(P(2,1)\) thin shell model and Naghdi’s models without a priori assumption on the stress tensor. Zbl 0948.74031
Delfour, Michel C.
2
1999
Systèmes d’équations différentielles héréditaires à retards fixes. Une classe de systèmes affines et le problème du système adjoint. Zbl 0218.34064
Delfour, M.; Mitter, S.
2
1971
Individual and collective rationality in a dynamic Pareto equilibrium. Zbl 0258.90055
Haurie, A.; Delfour, M. C.
2
1974
Systèmes d’équations différentielles héréditaires à retards fixes. Théorèmes d’existence et d’unicité. Zbl 0212.12101
Delfour, M.; Mitter, S.
2
1971
Controllability and observability for infinite-dimensional systems. Zbl 0253.93007
Delfour, M. C.; Mitter, S. K.
2
1972
Analyse des problèmes de forme par la dérivation des minimax. (Analysis of shape problems by minimax differentiation). Zbl 0696.49008
Delfour, M.-C.; Zolésio, J.-P.
2
1989
Further development in shape sensitivity analysis via penalization method. Zbl 0667.49005
Delfour, M. C.; Zolesio, J. P.
2
1988
Quadratic models to fit experimental data of paclitaxel release kinetics from biodegradable polymers. Zbl 1365.92041
Blanchet, Guillaume; Delfour, Michel C.; Garon, André
2
2011
Metric spaces of shapes and geometries constructed from set parametrized functions. Zbl 1329.49084
Delfour, Michel C.
2
2015
Representations, composition, and decomposition of \(C^{1,1}\)-hypersurfaces. Zbl 1425.74290
Delfour, Michel C.
1
2009
High-dimensional partial differential equations in science and engineering. Papers presented at the conference, Montréal, Canada, August 7–12, 2005. Zbl 1117.35003
1
2007
Shape optimization and free boundaries. Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, held Montréal, Canada, June 25-July 13, 1990. Zbl 0753.00022
1
1992
Unbounded solutions to the linear quadratic control problem. Zbl 0756.49002
Da Prato, Giuseppe; Delfour, M. C.
1
1992
Optimal distribution of larvicide in running waters. Zbl 0758.92012
Chalifour, Alain; Delfour, Michel C.
1
1992
Hidden boundary smoothness in hyperbolic tangential problems on nonsmooth domains. Zbl 0930.35030
Delfour, Michel C.; Zolésio, Jean-Paul
1
1999
Fixed mesh approximation of ordinary differential equations with impulses. Zbl 0897.65048
Delfour, Michel; Dubeau, François
1
1998
One-sided derivative of parametrized minima for shape and topological derivatives. Zbl 1523.49029
Delfour, Michel C.
1
2023
Topological derivative of state-constrained objective functions: a direct method. Zbl 1500.49023
Delfour, Michel C.
3
2022
Transfinite interpolations and Eulerian/Lagrangian dynamics. Zbl 07515818
Garon, André; Delfour, Michel C.
1
2022
Hadamard semidifferential, oriented distance function, and some applications. Zbl 1487.58005
Delfour, Michel C.
1
2022
Hadamard semidifferential of functions on an unstructured subset of a TVS. Zbl 1467.58005
Delfour, Michel C.
3
2020
Introduction to optimization and Hadamard semidifferential calculus. 2nd edition. Zbl 1434.90001
Delfour, Michel C.
3
2020
On the transfinite mean value interpolation of Dyken and Floater. Zbl 1457.65008
Delfour, Michel C.; Garon, André
1
2020
Mesh adaptation based on transfinite mean value interpolation. Zbl 07504717
Garon, André; Delfour, Michel C.
1
2020
A new \(k\)-TMI/ALE fluid-structure formulation to study the low mass ratio dynamics of an elliptical cylinder. Zbl 07508374
Couture-Peck, Danika; Garon, André; Delfour, Michel C.
1
2020
Transfinite interpolations for free and moving boundary problems. Zbl 1455.65020
Delfour, Michel C.; Garon, André
3
2019
Three-dimensional drug release in the stent-polymer-wall-lumen of a blood vessel. Zbl 1422.92069
Delfour, Michel C.; Garon, André; Lamontagne, Steven
1
2019
Topological derivative: a semidifferential via the Minkowski content. Zbl 1410.49051
Delfour, Michel C.
8
2018
Control, shape, and topological derivatives via minimax differentiability of Lagrangians. Zbl 1416.49049
Delfour, Michel C.
7
2018
Parametric semidifferentiability of minimax of Lagrangians: averaged adjoint approach. Zbl 1380.49019
Delfour, Michel C.; Sturm, Kevin
7
2017
Metric spaces of shapes and geometries constructed from set parametrized functions. Zbl 1329.49084
Delfour, Michel C.
2
2015
Three-dimensional quadratic model of paclitaxel release from biodegradable polymer films. Zbl 1345.92066
Garon, André; Delfour, Michel C.
2
2014
Anisotropic mesh adaptation on Lagrangian coherent structures. Zbl 1284.37059
Miron, Philippe; Vétel, Jérôme; Garon, André; Delfour, Michel; El Hassan, Mouhammad
6
2012
Introduction to optimization and semidifferential calculus. Zbl 1248.90001
Delfour, Michel C.
5
2012
Drug release kinetics from biodegradable polymers via partial differential equations models. Zbl 1234.35283
Delfour, Michel C.
1
2012
Shapes and geometries. Metrics, analysis, differential calculus, and optimization. 2nd ed. Zbl 1251.49001
Delfour, M. C.; Zolésio, J.-P.
343
2011
Quadratic models to fit experimental data of paclitaxel release kinetics from biodegradable polymers. Zbl 1365.92041
Blanchet, Guillaume; Delfour, Michel C.; Garon, André
2
2011
Linear quadratic differential games: closed loop saddle points. Zbl 1180.91014
Delfour, Michel C.; Sbarba, Olivier Dello
6
2009
Representations, composition, and decomposition of \(C^{1,1}\)-hypersurfaces. Zbl 1425.74290
Delfour, Michel C.
1
2009
Coupling Stokes and Darcy equations. Zbl 1134.76033
Urquiza, J. M.; N’Dri, D.; Garon, A.; Delfour, M. C.
48
2008
Representations of hypersurfaces and minimal smoothness of the midsurface in the theory of shells. Zbl 1260.53018
Delfour, Michel C.
2
2008
Representation and control of infinite dimensional systems. 2nd ed. Zbl 1117.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
260
2007
Linear quadratic differential games: Saddle point and Riccati differential equation. Zbl 1140.91025
Delfour, Michel C.
8
2007
Uniform fat segment and cusp properties for compactness in shape optimization. Zbl 1119.49034
Delfour, Michel C.; Zolesio, Jean-Paul
4
2007
High-dimensional partial differential equations in science and engineering. Papers presented at the conference, Montréal, Canada, August 7–12, 2005. Zbl 1117.35003
1
2007
A numerical study of primal mixed finite element approximations of Darcy equations. Zbl 1125.76047
Urquiza, J. M.; Dri, D. N’; Garon, A.; Delfour, M. C.
12
2006
Evolution equations for shapes and geometries. Zbl 1109.35025
Delfour, Michel C.; Zolésio, Jean-Paul
3
2006
Shape identification via metrics constructed from the oriented distance function. Zbl 1167.49326
Delfour, Michel C.; Zolésio, Jean-Paul
7
2005
Modeling and design of coated stents to optimize the effect of the dose. Zbl 1075.92033
Delfour, Michel C.; Garon, Andre; Longo, Vito
3
2005
Oriented distance function and its evolution equation for initial sets with thin boundary. Zbl 1058.49034
Delfour, Michel C.
18
2004
The new family of cracked sets and the image segmentation problem revisited. Zbl 1087.94008
Delfour, Michel C.; Zolésio, Jean-Paul
4
2004
Dynamical free boundary problem for an incompressible potential fluid flow in a time-varying domain. Zbl 1061.35075
Delfour, M. C.; Zolésio, J.-P.
2
2004
Quantum control: Mathematical and numerical challenges. CRM workshop, October 6–11, 2002, Montréal, Canada. Zbl 1030.00043
5
2003
Shapes and geometries. Analysis, differential calculus, and optimization. Zbl 1002.49029
Delfour, M. C.; Zolésio, J.-P.
253
2001
Tangential calculus and shape derivatives. Zbl 1029.49035
Delfour, Michel C.; Zolésio, Jean-Paul
4
2001
Tangential differential calculus and functional analysis on a \(C^{1,1}\) submanifold. Zbl 0977.58004
Delfour, Michel C.
4
2000
Error analysis of mixed finite elements for cylindrical shells. Zbl 0958.74075
Yang, Geng; Delfour, Michel C.; Fortin, Michel
3
1999
Intrinsic \(P(2,1)\) thin shell model and Naghdi’s models without a priori assumption on the stress tensor. Zbl 0948.74031
Delfour, Michel C.
2
1999
Hidden boundary smoothness in hyperbolic tangential problems on nonsmooth domains. Zbl 0930.35030
Delfour, Michel C.; Zolésio, Jean-Paul
1
1999
Characterization of the space of solutions of the membrane shell equation for arbitrary \(C^{1,1}\) midsurfaces. Zbl 0981.74035
Delfour, Michel C.
1
1999
Shape analysis via distance functions: Local theory. Zbl 0955.49023
Delfour, Michel C.; Zolésio, Jean-Paul
11
1998
Intrinsic differential geometric methods in the asymptotic analysis of linear thin shells. Zbl 0916.73023
Delfour, Michel C.
2
1998
Fixed mesh approximation of ordinary differential equations with impulses. Zbl 0897.65048
Delfour, Michel; Dubeau, François
1
1998
Differential equations for linear shells: Comparison between intrinsic and classical models. Zbl 0899.73287
Delfour, Michel C.; Zolésio, Jean-Paul
13
1997
Hidden boundary smoothness for some classes of differential equations on submanifolds. Zbl 0903.35011
Delfour, Michel C.; Zolésio, Jean-Paul
3
1997
Computation of shape gradients for mixed finite element formulation. Zbl 0883.35006
Delfour, Michel C.; Mghazli, Zoubida; Zolésio, Jean-Paul
2
1997
Intrinsic methods for control and optimization of thin shells. (Méthodes intrinsèques pour le contrôle et l’optimisation des coques minces.) Zbl 0916.73029
Delfour, Michel C.
1
1997
Tangential differential equations for dynamical thin/shallow shells. Zbl 0852.73035
Delfour, M. C.; Zolésio, J. P.
16
1996
On the design and control of systems governed by differential equations on submanifolds. Zbl 0856.58041
Delfour, Michel C.; Zolésio, Jean-Paul
3
1996
Curvatures and skeletons in shape optimization. Zbl 0925.93960
Delfour, M.; Zolésio, J.-P.
1
1996
New intrinsic models for shells. Zbl 0894.73081
Delfour, M.; Zolésio, J.-P.
1
1996
A boundary differential equation for thin shells. Zbl 0827.73038
Delfour, M. C.; Zolésio, J. P.
20
1995
Oriented distance functions in shape analysis and optimization. Zbl 0822.49030
Delfour, Michel C.; Zolésio, Jean-Paul
5
1995
Shape analysis via oriented distance functions. Zbl 0814.49032
Delfour, Michel C.; Zolésio, Jean-Paul
79
1994
One-sided derivative of Min Max and saddle points with respect to a parameter. Zbl 0815.49008
Delfour, M. C.; Morgan, J.
1
1994
Representation and control of infinite dimensional systems. Vol. 2. Zbl 0790.93016
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
76
1993
Representation and control of infinite dimensional systems. Volume I. Zbl 0781.93002
Bensoussan, Alain; Da Prato, Giuseppe; Delfour, Michel C.; Mitter, Sanjoy K.
138
1992
Structure of shape derivatives for nonsmooth domains. Zbl 0777.49030
Delfour, M. C.; Zolésio, J. P.
17
1992
A complement to the differentiability of saddle points and min-max. Zbl 0774.49018
Delfour, M. C.; Morgan, J.
2
1992
Shape derivatives and differentiability of min max. Zbl 0780.49029
Delfour, Michel C.
2
1992
Shape optimization and free boundaries. Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, held Montréal, Canada, June 25-July 13, 1990. Zbl 0753.00022
1
1992
Unbounded solutions to the linear quadratic control problem. Zbl 0756.49002
Da Prato, Giuseppe; Delfour, M. C.
1
1992
Optimal distribution of larvicide in running waters. Zbl 0758.92012
Chalifour, Alain; Delfour, Michel C.
1
1992
Velocity method and Lagrangian formulation for the computation of the shape Hessian. Zbl 0747.49007
Delfour, Michel C.; Zolésio, Jean-Paul
27
1991
Anatomy of the shape Hessian. Zbl 0770.49025
Delfour, M. C.; Zolésio, J. P.
19
1991
Shape derivatives for nonsmooth domains. Zbl 0792.49030
Delfour, M. C.; Zolésio, J. P.
2
1991
Shape Hessian by the velocity method: A Lagrangian approach. Zbl 0784.93048
Delfour, M. C.; Zolésio, J. P.
4
1990
Shape analysis and optimization: Lagrangian methods and applications. Zbl 0675.49010
Delfour, M. C.; Zolésio, J. P.
6
1989
Analyse des problèmes de forme par la dérivation des minimax. (Analysis of shape problems by minimax differentiation). Zbl 0696.49008
Delfour, M.-C.; Zolésio, J.-P.
2
1989
Further developments in the application of min max differentiability to shape sensitivity analysis. Zbl 0677.49015
Delfour, M. C.; Zolésio, J.-P.
1
1989
Shape sensitivity analysis via min max differentiability. Zbl 0654.49010
Delfour, M. C.; Zolésio, J.-P.
41
1988
Shape sensitivity analysis via a penalization method. Zbl 0667.49004
Delfour, M. C.; Zolésio, J.-P.
8
1988
Further development in shape sensitivity analysis via penalization method. Zbl 0667.49005
Delfour, M. C.; Zolesio, J. P.
2
1988
Modeling, stabilization and control of serially connected beams. Zbl 0621.93053
Chen, Goong; Delfour, M. C.; Krall, A. M.; Payre, G.
141
1987
Approximation of nonlinear problems associated with radiating bodies in space. Zbl 0641.65092
Delfour, M. C.; Payre, G.; Zolésio, J.-P.
16
1987
State space theory of linear time invariant systems with delays in state, control, and observation variables. I, II. Zbl 0643.93034
Delfour, M. C.; Karrakchou, J.
11
1987
Differentiability of a min max and application to optimal control and design problems. I. Zbl 0633.49005
Delfour, M. C.; Zolésio, J.-P.
5
1987
Differentiability of a min max and application to optimal control and design problems. II. Zbl 0633.49006
Delfour, M. C.; Zolésio, J.-P.
3
1987
The linear-quadratic optimal control problem with delays in state and control variables: A state space approach. Zbl 0606.93037
Delfour, M. C.
55
1986
Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations. Zbl 0633.65068
Delfour, M. C.; Dubeau, F.
18
1986
Supplement to: Discontinuous polynomial approximations in the theory of one-step, hybrid and multistep methods for nonlinear ordinary differential equations. Zbl 0633.65069
Delfour, M. C.; Dubeau, F.
5
1986
Dérivation d’un Min Max et application à la dérivation par rapport au contrôle d’une observation non différentiable de l’état (Differentiability of a Min Max and application to a non differentiable cost function in optimal control). Zbl 0589.49006
Delfour, Michel; Zolésio, Jean-Paul
4
1986
Stabilization of hyperbolic systems using concentrated sensors and actuators. Zbl 0634.93059
Delfour, Michel C.; Lagnese, John; Polis, Michael P.
2
1986
Optimal parametrized design of thermal diffusers for communication satellites. Zbl 0596.49019
Delfour, M. C.; Payre, G.; Zolesio, J.-P.
2
1986
An optimal triangulation for second-order elliptic problems. Zbl 0554.65077
Delfour, M.; Payre, G.; Zolesio, J.-P.
21
1985
Some problems in shape optimal design for communications satellites. Zbl 0581.49003
Delfour, M. C.; Payre, G.; Zolésio, J. P.
1
1985
Linear optimal control of systems with state and control variable delays. Zbl 0541.93042
Delfour, M. C.
8
1984
Optimal design of a minimum weight thermal diffuser with constraint on the output thermal power flux. Zbl 0558.49002
Delfour, M.; Payre, G.; Zolésio, J.-P.
1
1983
Optimal and suboptimal design of thermal diffusers for communication satellites. Zbl 0564.49001
Delfour, M. C.; Payre, G.; Zolésio, J.-P.
1
1983
The linear-quadratic optimal control problem for parabolic systems with boundary control through a Dirichlet condition. Zbl 0576.93039
Delfour, M. C.; Sorine, M.
1
1983
Finite-difference solutions of a non-linear Schrödinger equation. Zbl 0477.65086
Delfour, M.; Fortin, M.; Payre, G.
167
1981
Discontinuous Galerkin methods for ordinary differential equations. Zbl 0469.65053
Delfour, M.; Hager, W.; Trochu, F.
117
1981
The largest class of hereditary systems defining a \(C_0\) semigroup on the product space. Zbl 0448.34074
Delfour, M. C.
24
1980
The structural operator F and its role in the theory of retarded systems. II. Zbl 0464.34050
Delfour, M. C.; Manitius, A.
15
1980
The structural operator F and its role in the theory of retarded systems. Zbl 0456.34041
Delfour, M. C.; Manitius, A.
14
1980
F-reduction of the operator Riccati equation for hereditary differential systems. Zbl 0405.49027
Delfour, M. C.; Lee, E. B.; Manitius, A.
4
1978
...and 22 more Documents
all top 5

Cited by 2,524 Authors

28 Zolésio, Jean-Paul
27 Delfour, Michel Claude
27 Kunisch, Karl
22 Gozzi, Fausto
21 Baccouch, Mahboub
21 Harbrecht, Helmut
21 Raymond, Jean-Pierre
21 Zhu, Shengfeng
20 Guo, Bao-Zhu
20 Laurain, Antoine
19 Sturm, Kevin
18 Lasiecka, Irena
16 Dapogny, Charles
14 Fabbri, Giorgio
14 Xu, Gen-Qi
13 Yan, Wenjing
12 Ma, Yichen
12 Schulz, Volker H.
11 Allaire, Grégoire
11 Dambrine, Marc
11 Gao, Zhiming
11 Schmidt, Stephan
11 Takahashi, Takéo
11 Tucsnak, Marius
11 Zhang, Huanshui
10 Ammari, Kais
10 Breiten, Tobias
10 Cannarsa, Piermarco
10 Glizer, Valery Y.
10 Maity, Debayan
10 Rabago, Julius Fergy Tiongson
10 Sokołowski, Jan
9 Aksikas, Ilyasse
9 Badra, Mehdi
9 Boucekkine, Raouf
9 Cagnol, John
9 Frankowska, Hélène
9 Kovtunenko, Viktor Anatolievich
9 Larson, Mats G.
9 Mitra, Debanjana
9 Pandolfi, Luciano
9 Ramaswamy, Mythily
8 Barbu, Viorel
8 Burger, Martin
8 Gangl, Peter
8 Henríquez, Hernán R.
8 Hintermüller, Michael
8 Lorenz, Thomas
8 Privat, Yannick
8 Siebenborn, Martin
8 Triggiani, Roberto
7 Aniţa, Sebastian
7 Bucci, Francesca
7 Capasso, Vincenzo
7 Castillo, Paul E.
7 Cavallina, Lorenzo
7 Federico, Salvatore
7 Fragnelli, Genni
7 Garon, André
7 Gatica, Gabriel N.
7 Gómez, Sergio Alejandro
7 Han, Zhongjie
7 Hansbo, Peter
7 Li, Jiajie
7 Moireau, Philippe
7 Nazarov, Sergeĭ Aleksandrovich
7 Wachsmuth, Gerd
7 Welker, Kathrin
6 Acquistapace, Paolo
6 Adjerid, Slimane
6 Benner, Peter
6 Chentouf, Boumediène
6 Curtain, Ruth Frances
6 Feppon, Florian
6 Fridman, Emilia
6 Fries, Thomas-Peter
6 Garcke, Harald
6 Ito, Kazufumi
6 Lebiedzik, Catherine Geraldine
6 Maniar, Lahcen
6 Pfeiffer, Laurent
6 van der Merwe, Alna
6 Walker, Shawn W.
6 Wihler, Thomas Pascal
5 Bao, Weizhu
5 Bashirov, Agamirza E.
5 Basin, Michael V.
5 Besse, Christophe
5 Blauth, Sebastian
5 Bogoşel, Beniamin
5 Buoso, Davide
5 Chakib, Abdelkrim
5 Chowdhury, Shirshendu
5 Estep, Donald J.
5 Faggian, Silvia
5 Forbes, J. Fraser
5 Hadd, Said
5 He, Xiaoming
5 Herzog, Roland
5 Hiptmair, Ralf
...and 2,424 more Authors
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Cited in 339 Serials

74 Journal of Mathematical Analysis and Applications
73 Computer Methods in Applied Mechanics and Engineering
67 SIAM Journal on Control and Optimization
63 Journal of Computational Physics
60 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
58 Journal of Differential Equations
46 Systems & Control Letters
45 Automatica
45 Journal of Optimization Theory and Applications
44 Applied Mathematics and Computation
42 Applied Mathematics and Optimization
41 International Journal of Control
34 Journal of Computational and Applied Mathematics
33 Journal of Scientific Computing
31 SIAM Journal on Scientific Computing
29 Mathematical Methods in the Applied Sciences
27 Computers & Mathematics with Applications
26 Applied Numerical Mathematics
23 Evolution Equations and Control Theory
19 Mathematical Control and Related Fields
18 Numerical Methods for Partial Differential Equations
17 International Journal for Numerical Methods in Engineering
16 Mathematics of Computation
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 SIAM Journal on Mathematical Analysis
14 Numerische Mathematik
14 SIAM Journal on Numerical Analysis
14 The Journal of Geometric Analysis
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Inverse Problems
13 Applied Mathematics Letters
13 Numerical Algorithms
13 Discrete and Continuous Dynamical Systems
13 Journal of Evolution Equations
12 Applicable Analysis
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Journal of the Franklin Institute
11 Computational Mechanics
11 MCSS. Mathematics of Control, Signals, and Systems
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Journal of Mathematical Imaging and Vision
11 Computational Optimization and Applications
11 Advances in Computational Mathematics
11 Nonlinear Analysis. Real World Applications
11 Nonlinear Analysis. Theory, Methods & Applications
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Mathematical and Computer Modelling
9 European Journal of Control
8 Computer Physics Communications
8 Kybernetika
8 Numerical Functional Analysis and Optimization
8 International Journal of Computer Mathematics
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 SIAM Journal on Applied Mathematics
8 Journal of Inverse and Ill-Posed Problems
8 Abstract and Applied Analysis
8 Differential Equations
8 Journal of Systems Science and Complexity
7 Archive for Rational Mechanics and Analysis
7 Journal of Fluid Mechanics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 BIT
7 Integral Equations and Operator Theory
7 Journal of Functional Analysis
7 Journal of Mathematical Economics
7 Mathematics and Computers in Simulation
7 International Journal of Robust and Nonlinear Control
7 Journal of Mathematical Fluid Mechanics
7 Computational Methods in Applied Mathematics
6 Stochastic Processes and their Applications
6 Calculus of Variations and Partial Differential Equations
6 Journal of Convex Analysis
6 Nonlinear Dynamics
6 Communications on Pure and Applied Analysis
5 Journal of Engineering Mathematics
5 Chaos, Solitons and Fractals
5 Journal of Economic Theory
5 Optimal Control Applications & Methods
5 Japan Journal of Industrial and Applied Mathematics
5 SIAM Journal on Optimization
5 Set-Valued Analysis
5 Computational and Applied Mathematics
5 Engineering Analysis with Boundary Elements
5 Journal of Vibration and Control
5 Discrete and Continuous Dynamical Systems. Series S
4 International Journal for Numerical Methods in Fluids
4 International Journal of Systems Science
4 Wave Motion
4 Indiana University Mathematics Journal
4 Mathematical Systems Theory
4 Transactions of the American Mathematical Society
4 Applied Mathematics and Mechanics. (English Edition)
4 Acta Applicandae Mathematicae
4 Optimization
4 Applied Mathematical Modelling
4 Communications in Partial Differential Equations
4 Linear Algebra and its Applications
4 St. Petersburg Mathematical Journal
4 NoDEA. Nonlinear Differential Equations and Applications
4 Mathematical Problems in Engineering
...and 239 more Serials
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Cited in 50 Fields

828 Partial differential equations (35-XX)
617 Numerical analysis (65-XX)
577 Systems theory; control (93-XX)
574 Calculus of variations and optimal control; optimization (49-XX)
301 Mechanics of deformable solids (74-XX)
264 Fluid mechanics (76-XX)
203 Ordinary differential equations (34-XX)
120 Operator theory (47-XX)
90 Probability theory and stochastic processes (60-XX)
66 Operations research, mathematical programming (90-XX)
56 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
45 Biology and other natural sciences (92-XX)
42 Optics, electromagnetic theory (78-XX)
37 Dynamical systems and ergodic theory (37-XX)
37 Integral equations (45-XX)
35 Functional analysis (46-XX)
35 Computer science (68-XX)
32 Quantum theory (81-XX)
30 Classical thermodynamics, heat transfer (80-XX)
29 Differential geometry (53-XX)
29 Global analysis, analysis on manifolds (58-XX)
26 Real functions (26-XX)
22 Information and communication theory, circuits (94-XX)
20 Mechanics of particles and systems (70-XX)
20 Statistical mechanics, structure of matter (82-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
16 Approximations and expansions (41-XX)
9 Potential theory (31-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Convex and discrete geometry (52-XX)
8 Statistics (62-XX)
7 Measure and integration (28-XX)
7 Manifolds and cell complexes (57-XX)
6 Difference and functional equations (39-XX)
6 Geophysics (86-XX)
5 General topology (54-XX)
4 Special functions (33-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Abstract harmonic analysis (43-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

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