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Antoine Laurain
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Distributed shape derivative via averaged adjoint method and applications
A Laurain, K Sturm
ESAIM: Mathematical Modelling and Numerical Analysis 50 (4), 1241-1267, 2016
1142016
Electrical impedance tomography: from topology to shape
M Hintermuller, A Laurain
Control and Cybernetics 37 (4), 913-933, 2008
1112008
Second-order topological expansion for electrical impedance tomography
M Hintermüller, A Laurain, AA Novotny
Advances in Computational Mathematics 36, 235-265, 2012
1092012
Shape optimization of an electric motor subject to nonlinear magnetostatics
P Gangl, U Langer, A Laurain, H Meftahi, K Sturm
SIAM Journal on Scientific Computing 37 (6), B1002-B1025, 2015
1072015
Multiphase image segmentation and modulation recovery based on shape and topological sensitivity
M Hintermüller, A Laurain
Journal of Mathematical Imaging and Vision 35, 1-22, 2009
932009
A level set method in shape and topology optimization for variational inequalities
P Fulmański, A Laurain, JF Scheid, J Sokołowski
International Journal of Applied Mathematics and Computer Science 17 (3 …, 2007
732007
Optimal shape design subject to elliptic variational inequalities
M Hintermüller, A Laurain
SIAM journal on control and optimization 49 (3), 1015-1047, 2011
642011
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
J Lamboley, A Laurain, G Nadin, Y Privat
Calculus of Variations and Partial Differential Equations 55 (6), 144, 2016
572016
A level set-based structural optimization code using FEniCS
A Laurain
Structural and Multidisciplinary Optimization 58, 1311-1334, 2018
562018
Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model
M Hintermüller, A Laurain, I Yousept
Inverse Problems 31 (6), 065006, 2015
482015
A new reconstruction method for the inverse potential problem
A Canelas, A Laurain, AA Novotny
Journal of Computational Physics 268, 417-431, 2014
422014
Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions
M Hintermüller, CY Kao, A Laurain
Applied Mathematics & Optimization 65, 111-146, 2012
422012
On the analysis of boundary value problems in nonsmooth domains
G FRÉMIOT, W HORN, A LAURAIN, M RAO, JAN SOKOŁOWSKI
42*
Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains
A Laurain
Journal de Mathématiques Pures et Appliquées 134, 328-368, 2020
372020
A new reconstruction method for the inverse source problem from partial boundary measurements
A Canelas, A Laurain, AA Novotny
Inverse Problems 31 (7), 075009, 2015
362015
Level set method with topological derivatives in shape optimization
P Fulmanski, A Laurain, JF Scheid, J Sokołowski
International Journal of Computer Mathematics 85 (10), 1491-1514, 2008
342008
Minimization of the ground state for two phase conductors in low contrast regime
C Conca, A Laurain, R Mahadevan
SIAM Journal on Applied Mathematics 72 (4), 1238-1259, 2012
332012
Global minimizer of the ground state for two phase conductors in low contrast regime∗∗∗
A Laurain
ESAIM: Control, Optimisation and Calculus of Variations 20 (2), 362-388, 2014
262014
Domain expression of the shape derivative and application to electrical impedance tomography
A Laurain, K Sturm
WIAS preprint, 2013
232013
An image space approach to Cartesian based parallel MR imaging with total variation regularization
SL Keeling, C Clason, M Hintermüller, F Knoll, A Laurain, G Von Winckel
Medical image analysis 16 (1), 189-200, 2012
222012
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