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Author ID: laurain.antoine Recent zbMATH articles by "Laurain, Antoine"
Published as: Laurain, Antoine; Laurain, A.

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 509 times in 308 Documents Cited by Year
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
67
2016
Shape optimization of an electric motor subject to nonlinear magnetostatics. Zbl 1330.49042
Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K.
37
2015
Optimal shape design subject to elliptic variational inequalities. Zbl 1228.49045
Hintermüller, M.; Laurain, A.
32
2011
Electrical impedance tomography: from topology to shape. Zbl 1194.49062
Hintermüller, Michael; Laurain, Antoine
32
2008
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. Zbl 1366.49004
Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick
32
2016
Second-order topological expansion for electrical impedance tomography. Zbl 1243.49049
Hintermüller, M.; Laurain, A.; Novotny, A. A.
27
2012
Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model. Zbl 1335.35297
Hintermüller, Michael; Laurain, Antoine; Yousept, Irwin
23
2015
A new reconstruction method for the inverse source problem from partial boundary measurements. Zbl 1319.35296
Canelas, Alfredo; Laurain, Antoine; Novotny, Antonio A.
23
2015
A level set method in shape and topology optimization for variational inequalities. Zbl 1237.49058
Fulmański, Piotr; Laurain, Antoine; Scheid, Jean-Francois; Sokołowski, Jan
21
2007
Minimization of the ground state for two phase conductors in low contrast regime. Zbl 1321.49078
Conca, Carlos; Laurain, Antoine; Mahadevan, Rajesh
21
2012
Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. Zbl 1490.68282
Hintermüller, M.; Laurain, A.
21
2009
Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions. Zbl 1242.49094
Hintermüller, M.; Kao, C.-Y.; Laurain, A.
20
2012
A new reconstruction method for the inverse potential problem. Zbl 1349.35425
Canelas, Alfredo; Laurain, Antoine; Novotny, Antonio A.
20
2014
On the analysis of boundary value problems in nonsmooth domains. Zbl 1172.35407
Frémiot, Gilles; Horn, Werner; Laurain, Antoine; Rao, Murali; Sokołowski, Jan
18
2009
Global minimizer of the ground state for two phase conductors in low contrast regime. Zbl 1287.49047
Laurain, Antoine
18
2014
Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains. Zbl 1431.49050
Laurain, Antoine
16
2020
Level set method with topological derivatives in shape optimization. Zbl 1155.65055
Fulmanski, Piotr; Laurain, Antoine; Scheid, Jean-François; Sokołowski, Jan
14
2008
Topological sensitivity analysis in fluorescence optical tomography. Zbl 1334.49138
Laurain, A.; Hintermüller, M.; Freiberger, M.; Scharfetter, H.
9
2013
Droplet footprint control. Zbl 1319.35310
Laurain, Antoine; Walker, Shawn W.
7
2015
Singular perturbations of curved boundaries in three dimensions. The spectrum of the Neumann Laplacian. Zbl 1228.35022
Laurain, Antoine; Nazarov, Serguey; Sokolowski, Jan
6
2011
A shape and topology optimization technique for solving a class of linear complementarity problems in function space. Zbl 1230.90187
Hintermüller, M.; Laurain, A.
6
2010
A shape optimization approach for electrical impedance tomography with point measurements. Zbl 1453.78005
Albuquerque, Yuri Flores; Laurain, Antoine; Sturm, Kevin
5
2020
A shape optimization approach to the problem of covering a two-dimensional region with minimum-radius identical balls. Zbl 1467.49030
Birgin, E. G.; Laurain, A.; Massambone, R.; Santana, A. G.
5
2021
On a Bernoulli problem with geometric constraints. Zbl 1337.49004
Laurain, Antoine; Privat, Yannick
4
2012
Analyzing smooth and singular domain perturbations in level set methods. Zbl 1396.49042
Laurain, Antoine
4
2018
Shape and parameter reconstruction for the Robin transmission inverse problem. Zbl 1354.49078
Laurain, Antoine; Meftahi, Houcine
3
2016
Elliptic mathematical programs with equilibrium constraints in function space: optimality conditions and numerical realization. Zbl 1327.49037
Hintermüller, Michael; Laurain, Antoine; Löbhard, Caroline; Rautenberg, Carlos N.; Surowiec, Thomas M.
3
2014
A total variation based approach to correcting surface coil magnetic resonance images. Zbl 1223.92028
Keeling, Stephen L.; Hintermüller, Michael; Knoll, Florian; Kraft, Daniel; Laurain, Antoine
2
2011
A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem. Zbl 1335.35309
Kasumba, Henry; Kunisch, Karl; Laurain, Antoine
2
2014
A shape-Newton approach to the problem of covering with identical balls. Zbl 1486.49054
Birgin, Ernesto G.; Laurain, Antoine; Massambone, Rafael; Santana, Arthur G.
2
2022
A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints. Zbl 1312.49031
Amstutz, Samuel; Laurain, Antoine
2
2013
Level set-based shape optimization approach for sharp-interface reconstructions in time-domain full waveform inversion. Zbl 1468.35223
Albuquerque, Yuri F.; Laurain, Antoine; Yousept, Irwin
2
2021
Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities. Zbl 1467.35168
Laurain, Antoine; Winckler, Malte; Yousept, Irwin
2
2021
Optimal control of volume-preserving mean curvature flow. Zbl 07505967
Laurain, Antoine; Walker, Shawn W.
2
2021
Level set method in shape optimization. (Une méthode levelset en optimisation de formes.) Zbl 1155.74034
Fulmanski, Piotr; Laurain, Antoine; Scheid, Jean-Francois; Sokołowski, Jan
1
2008
A shape-Newton approach to the problem of covering with identical balls. Zbl 1486.49054
Birgin, Ernesto G.; Laurain, Antoine; Massambone, Rafael; Santana, Arthur G.
2
2022
A shape optimization approach to the problem of covering a two-dimensional region with minimum-radius identical balls. Zbl 1467.49030
Birgin, E. G.; Laurain, A.; Massambone, R.; Santana, A. G.
5
2021
Level set-based shape optimization approach for sharp-interface reconstructions in time-domain full waveform inversion. Zbl 1468.35223
Albuquerque, Yuri F.; Laurain, Antoine; Yousept, Irwin
2
2021
Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities. Zbl 1467.35168
Laurain, Antoine; Winckler, Malte; Yousept, Irwin
2
2021
Optimal control of volume-preserving mean curvature flow. Zbl 07505967
Laurain, Antoine; Walker, Shawn W.
2
2021
Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains. Zbl 1431.49050
Laurain, Antoine
16
2020
A shape optimization approach for electrical impedance tomography with point measurements. Zbl 1453.78005
Albuquerque, Yuri Flores; Laurain, Antoine; Sturm, Kevin
5
2020
Analyzing smooth and singular domain perturbations in level set methods. Zbl 1396.49042
Laurain, Antoine
4
2018
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
67
2016
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. Zbl 1366.49004
Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick
32
2016
Shape and parameter reconstruction for the Robin transmission inverse problem. Zbl 1354.49078
Laurain, Antoine; Meftahi, Houcine
3
2016
Shape optimization of an electric motor subject to nonlinear magnetostatics. Zbl 1330.49042
Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K.
37
2015
Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model. Zbl 1335.35297
Hintermüller, Michael; Laurain, Antoine; Yousept, Irwin
23
2015
A new reconstruction method for the inverse source problem from partial boundary measurements. Zbl 1319.35296
Canelas, Alfredo; Laurain, Antoine; Novotny, Antonio A.
23
2015
Droplet footprint control. Zbl 1319.35310
Laurain, Antoine; Walker, Shawn W.
7
2015
A new reconstruction method for the inverse potential problem. Zbl 1349.35425
Canelas, Alfredo; Laurain, Antoine; Novotny, Antonio A.
20
2014
Global minimizer of the ground state for two phase conductors in low contrast regime. Zbl 1287.49047
Laurain, Antoine
18
2014
Elliptic mathematical programs with equilibrium constraints in function space: optimality conditions and numerical realization. Zbl 1327.49037
Hintermüller, Michael; Laurain, Antoine; Löbhard, Caroline; Rautenberg, Carlos N.; Surowiec, Thomas M.
3
2014
A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem. Zbl 1335.35309
Kasumba, Henry; Kunisch, Karl; Laurain, Antoine
2
2014
Topological sensitivity analysis in fluorescence optical tomography. Zbl 1334.49138
Laurain, A.; Hintermüller, M.; Freiberger, M.; Scharfetter, H.
9
2013
A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints. Zbl 1312.49031
Amstutz, Samuel; Laurain, Antoine
2
2013
Second-order topological expansion for electrical impedance tomography. Zbl 1243.49049
Hintermüller, M.; Laurain, A.; Novotny, A. A.
27
2012
Minimization of the ground state for two phase conductors in low contrast regime. Zbl 1321.49078
Conca, Carlos; Laurain, Antoine; Mahadevan, Rajesh
21
2012
Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions. Zbl 1242.49094
Hintermüller, M.; Kao, C.-Y.; Laurain, A.
20
2012
On a Bernoulli problem with geometric constraints. Zbl 1337.49004
Laurain, Antoine; Privat, Yannick
4
2012
Optimal shape design subject to elliptic variational inequalities. Zbl 1228.49045
Hintermüller, M.; Laurain, A.
32
2011
Singular perturbations of curved boundaries in three dimensions. The spectrum of the Neumann Laplacian. Zbl 1228.35022
Laurain, Antoine; Nazarov, Serguey; Sokolowski, Jan
6
2011
A total variation based approach to correcting surface coil magnetic resonance images. Zbl 1223.92028
Keeling, Stephen L.; Hintermüller, Michael; Knoll, Florian; Kraft, Daniel; Laurain, Antoine
2
2011
A shape and topology optimization technique for solving a class of linear complementarity problems in function space. Zbl 1230.90187
Hintermüller, M.; Laurain, A.
6
2010
Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. Zbl 1490.68282
Hintermüller, M.; Laurain, A.
21
2009
On the analysis of boundary value problems in nonsmooth domains. Zbl 1172.35407
Frémiot, Gilles; Horn, Werner; Laurain, Antoine; Rao, Murali; Sokołowski, Jan
18
2009
Electrical impedance tomography: from topology to shape. Zbl 1194.49062
Hintermüller, Michael; Laurain, Antoine
32
2008
Level set method with topological derivatives in shape optimization. Zbl 1155.65055
Fulmanski, Piotr; Laurain, Antoine; Scheid, Jean-François; Sokołowski, Jan
14
2008
Level set method in shape optimization. (Une méthode levelset en optimisation de formes.) Zbl 1155.74034
Fulmanski, Piotr; Laurain, Antoine; Scheid, Jean-Francois; Sokołowski, Jan
1
2008
A level set method in shape and topology optimization for variational inequalities. Zbl 1237.49058
Fulmański, Piotr; Laurain, Antoine; Scheid, Jean-Francois; Sokołowski, Jan
21
2007
all top 5

Cited by 434 Authors

24 Novotny, Antonio André
22 Laurain, Antoine
21 Zhu, Shengfeng
16 Sokołowski, Jan
14 Sturm, Kevin
11 Mazari-Fouquer, Idriss
10 Hrizi, Mourad
10 Kao, Chiu-Yen
9 Kovtunenko, Viktor Anatolievich
9 Welker, Kathrin
8 Leugering, Günter
8 Yousept, Irwin
7 Gangl, Peter
7 Mohammadi, Seyyed Abbas
7 Siebenborn, Martin
7 Zochowski, Antoni
6 Amstutz, Samuel
6 Casado-Díaz, Juan
6 Kunisch, Karl
6 Li, Jiajie
6 Pinnau, René
6 Privat, Yannick
5 Giusti, Sebastián M.
5 Hassine, Maatoug
5 Hintermüller, Michael
5 Leithäuser, Christian
5 Liu, Chunxiao
5 Nadin, Grégoire
5 Pellacci, Benedetta
5 Schulz, Volker H.
5 Verzini, Gianmaria
4 Birgin, Ernesto G.
4 Blauth, Sebastian
4 Conca, Carlos
4 Khludnev, Aleksandr Mikhaĭlovich
4 Lazarev, Nyurgun Petrovich
4 Mazzoleni, Dario
4 Prakash, Ravi
4 Rabago, Julius Fergy Tiongson
4 Rapún, María-Luisa
4 Wu, Qingbiao
3 Beretta, Elena
3 Canelas, Alfredo
3 Carpio, Ana
3 Caubet, Fabien
3 Fumagalli, Ivan
3 Griesmaier, Roland
3 Lesnic, Daniel
3 Meftahi, Houcine
3 Osting, Braxton
3 Parolini, Nicola
3 Ruiz-Balet, Domènec
3 Vásquez-Varas, Donato
3 Verani, Marco
3 Yan, Wenjing
2 Albuquerque, Yuri Flores
2 Amad, Alan A. S.
2 Bonnet, Marc
2 Bouchitté, Guy
2 Burman, Erik
2 Cakoni, Fioralba
2 Chaudet-Dumas, Bastien
2 Dambrine, Marc
2 Deteix, Jean
2 Dietrich, Nicolas
2 Djafari Rouhani, Behzad
2 Etling, Tommy
2 Fan, Wei
2 Fernandez, Lucas dos Santos
2 Fragalà, Ilaria
2 Francini, Elisa
2 Fulmanski, Piotr
2 Gao, Zhiming
2 Hensel, Maurice
2 Herzog, Roland
2 Hou, Jiangyong
2 Hu, Xianliang
2 Hu, Xindi
2 Jing, Feifei
2 Kang, Di
2 Keeling, Stephen L.
2 Larson, Mats G.
2 Li, Yingyuan
2 Lucardesi, Ilaria
2 Machado, Thiago José
2 Magnot, Jean-Pierre
2 Mahadevan, Rajesh
2 Malek, Rakia
2 Marx, Thomas
2 Massambone, Rafael
2 Mendoza, Renier G.
2 Myśliński, Andrzej
2 Nair, Prasanth B.
2 Nazarov, Sergeĭ Aleksandrovich
2 Nguyen, Tung Dong Cao
2 Nikolić, Vanja
2 Paganini, Alberto
2 Park, Won-Kwang
2 Rocha de Faria, Jairo
2 Rudoy, Evgeny Mikhailovich
...and 334 more Authors
all top 5

Cited in 110 Serials

17 SIAM Journal on Control and Optimization
14 Inverse Problems
13 Journal of Computational Physics
12 SIAM Journal on Scientific Computing
11 Computer Methods in Applied Mechanics and Engineering
10 Journal of Optimization Theory and Applications
9 Journal of Scientific Computing
8 SIAM Journal on Mathematical Analysis
7 Applied Mathematics and Optimization
7 SIAM Journal on Applied Mathematics
6 SIAM Journal on Optimization
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Journal of Mathematical Biology
5 Mathematical Methods in the Applied Sciences
5 SIAM Journal on Numerical Analysis
5 Applied Mathematical Modelling
5 Inverse Problems in Science and Engineering
4 Nonlinearity
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Journal of Mathematical Imaging and Vision
4 Computational Optimization and Applications
4 Journal of Inverse and Ill-Posed Problems
4 Optimization and Engineering
4 SIAM Journal on Imaging Sciences
3 Journal of Mathematical Analysis and Applications
3 Journal of Computational and Applied Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Optimization Methods & Software
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 Computers and Fluids
2 Computers & Mathematics with Applications
2 International Journal for Numerical Methods in Engineering
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Journal of Computational Mathematics
2 Applied Numerical Mathematics
2 The Journal of Geometric Analysis
2 Applications of Mathematics
2 International Journal of Computer Mathematics
2 Calculus of Variations and Partial Differential Equations
2 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 International Journal of Applied Mathematics and Computer Science
2 Nonlinear Analysis. Real World Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Inverse Problems and Imaging
1 Journal of the Mechanics and Physics of Solids
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Applied Mathematics and Computation
1 BIT
1 Calcolo
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Optimization
1 Computational Mechanics
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Japan Journal of Industrial and Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Communications in Partial Differential Equations
1 Journal of Elasticity
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Mathematical Programming. Series A. Series B
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Filomat
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 Opuscula Mathematica
1 Engineering Analysis with Boundary Elements
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Taiwanese Journal of Mathematics
1 Journal of Applied Mechanics and Technical Physics
1 Interfaces and Free Boundaries
1 Communications in Nonlinear Science and Numerical Simulation
1 Computational Methods in Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Communications on Pure and Applied Analysis
1 Multiscale Modeling & Simulation
1 Structural and Multidisciplinary Optimization
1 Acta Numerica
1 Boundary Value Problems
1 Acta Mechanica Sinica
1 Asian-European Journal of Mathematics
1 Advances in Mathematical Physics
1 Set-Valued and Variational Analysis
1 Journal of Spectral Theory
1 Eurasian Mathematical Journal
1 Mathematical Control and Related Fields
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
...and 10 more Serials
all top 5

Cited in 36 Fields

180 Calculus of variations and optimal control; optimization (49-XX)
174 Partial differential equations (35-XX)
120 Numerical analysis (65-XX)
57 Mechanics of deformable solids (74-XX)
33 Biology and other natural sciences (92-XX)
28 Fluid mechanics (76-XX)
24 Optics, electromagnetic theory (78-XX)
16 Operations research, mathematical programming (90-XX)
14 Operator theory (47-XX)
14 Classical thermodynamics, heat transfer (80-XX)
9 Systems theory; control (93-XX)
9 Information and communication theory, circuits (94-XX)
7 Potential theory (31-XX)
6 Ordinary differential equations (34-XX)
5 Geophysics (86-XX)
4 Functional analysis (46-XX)
4 Manifolds and cell complexes (57-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Probability theory and stochastic processes (60-XX)
4 Computer science (68-XX)
3 Approximations and expansions (41-XX)
3 Integral equations (45-XX)
3 Statistics (62-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Real functions (26-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Convex and discrete geometry (52-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Differential geometry (53-XX)

Citations by Year