42) Optimization of the first Dirichlet Laplacian eigenvalue with respect to a union of balls
E.G. Birgin, L. S. Fernandez, G. Haeser, A. Laurain
The Journal of Geometric Analysis, volume 33, 184 (2023)
41) Sensitivity analysis and tailored design of minimization diagrams
E.G. Birgin, A. Laurain, T.C. Menezes
Accepted for publication in Mathematics of Computation (2023)
40) An abstract Lagrangian framework for computing shape derivatives
A. Laurain, P. T. P. Lopes, J. C. Nakasato
ESAIM: Control, Optimisation and Calculus of Variations 29 (2023) 5
39) A Shape-Newton approach to the problem of covering with identical balls
E.G. Birgin, A. Laurain, R. Massambone, A.G. Santana
SIAM Journal on Scientific Computing 44, pp. A798-A824, 2022.
38) Shape optimization in acoustic-structure interaction
P. Kliewe, A. Laurain, K. Schmidt
Engineering Computations, , Vol. 39 No. 1, pp. 172-200.
37) Optimal control of volume-preserving mean curvature flow
A. Laurain, S.W. Walker
Journal of Computational Physics, Volume 438, 1 August 2021, 110373
36) A shape optimization approach to the problem of covering a two-dimensional region with minimum-radius identical balls
E.G. Birgin, A. Laurain, R. Massambone, A.G. Santana
SIAM Journal on Scientific Computing, 43(3), A2047-A2078. (32 pages))
35) Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities
A. Laurain, M. Winckler, and I. Yousept
SIAM Journal on Control and Optimization, 59(3), 2247–2272. (26 pages)
34) Level set-based shape optimization approach for sharp-interface reconstructions in time-domain full waveform inversion
Y. F. Albuquerque, A. Laurain, and I. Yousept
SIAM Journal on Applied Mathematics, 81(3), 939-964
33) A shape optimization approach for electrical impedance tomography with point measurements
Y. F. Albuquerque, A. Laurain, and K. Sturm
Inverse Problems, Volume 36, No. 9, September 2020
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32) Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains
A. Laurain
Journal de Mathématiques Pures et Appliquées, Volume 134, February 2020, Pages 328-368
31) Analysing smooth and singular domain perturbations in level set methods
A. Laurain
SIAM Journal on Mathematical Analysis, 50(4), 4327-4370. (44 pages) (2018).
30) A level set-based structural optimization code using FEniCS
A. Laurain
Structural and Multidisciplinary Optimization, September 2018, Volume 58, Issue 3, pp 1311--1334.
29) Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
J. Lamboley, A. Laurain, G. Nadin and Y. Privat
Calculus of Variations and Partial Differential Equations (2016) 55: 144.
28) Stability Analysis of the Reconstruction Step of the Voronoi Implicit Interface Method
A. Laurain,
SIAM Journal on Numerical Analysis, Vol. 55, No. 1, pp. 1--30 (2017).
27) Shape and parameter reconstruction for the Robin transmission inverse problem
A. Laurain, H. Meftahi,
Journal of Inverse and Ill-posed Problems. Volume 24, Issue 6, Pages 643-662, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219,
DOI: 10.1515/jiip-2015-0008, May 2016
26) A first order approach for worst-case shape optimization of the compliance for a mixture in the low contrast regime
M. Dambrine, A. Laurain,
Structural and Multidisciplinary Optimization (2016) 54:215--231.
DOI: 10.1007/s00158-015-1384-z
25) Shape optimization of an electric motor subject to nonlinear magnetostatics
P. Gangl, U. Langer, A. Laurain, H. Meftahi, K. Sturm,
SIAM J. Sci. Comput. Vol. 37, No. 6, pp. B1002-B1025 (2015)
DOI: 10.1137/15100477X
24) Distributed shape derivative via averaged adjoint method and applications
A. Laurain, K. Sturm,
ESAIM: Mathematical Modelling and Numerical Analysis 50 (2016) 1241-1267
23) A new reconstruction method for the inverse source problem from partial boundary measurements
A. Canelas, A. Laurain, A.A. Novotny,
Inverse Problems 31 (2015) 075009
22) 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 (2015) 065006
21) Droplet footprint control
A. Laurain, S. Walker,
SIAM J. Control Optim., 53(2), 771--799. (29 pages)
20) A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem
H. Kasumba, K. Kunisch, A. Laurain,
Interfaces and Free Boundaries 16(2014), 459-487.
19) A new reconstruction method for the inverse potential problem
A. Canelas, A. Laurain, A.A. Novotny,
Journal of Computational Physics 268 (2014), 417-431.
18) Global minimizers of the ground state for two phase conductors in low contrast regime
A. Laurain,
ESAIM : COCV 20 (2014), 362--388.
17) A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints
S. Amstutz, A. Laurain,
Computational Optimization and Applications 56 (2013), no. 2, 369--403.
16) Topological sensitivity analysis in fluorescence optical tomography
A. Laurain, M. Hintermüller, M. Freiberger, H. Scharfetter,
Inverse Problems 29 (2013) 025003.
15) Minimization of the ground state for two phase conductors in low contrast regime
C. Conca, A. Laurain, R. Mahadevan,
SIAM Journal on Applied Mathematics: Vol. 72, No. 4 (2012), Pages 1238-1259.
14) Principal Eigenvalue Minimization for an Elliptic Problem with Indefinite Weight and Robin Boundary Conditions
M. Hintermüller, C.-Y. Kao, A. Laurain,
Applied Mathematics & Optimization: Volume 65, Issue 1 (2012), Pages 111-146
13) An image space approach to Cartesian based parallel MR imaging with total variation regularization
S.L. Keeling, C. Clason, M. Hintermüller, F. Knoll, A. Laurain, G. Von Winckel,
Medical Image Analysis, Volume 16, Issue 1, January 2012, Pages 189-200.
12) A total variation based approach to correcting surface coil magnetic resonance images
S.L. Keeling, M. Hinterm\"uller, F. Knoll, D. Kraf, A. Laurain,
Applied Mathematics and Computation, Volume 218, Issue 2, 15 September 2011, Pages 219-232
11) Optimal shape design subject to variational inequalities
M. Hintermüller and A. Laurain,
SIAM Journal on Control and Optimization, Vol.49 (2011), No.3, pp. 1015-1047.
10) Second-order topological expansion for electrical impedance tomography
M. Hintermüller, A. Laurain and A.A. Novotny,
Advances in Computational Mathematics 36 (2012), no. 2, 235--265.
9) On a Bernoulli problem with geometric constraints
A. Laurain and Y. Privat,
ESAIM: Control, Optimisation and Calculus of Variations (2012), no. 1, 157--180.
8) Singular perturbations of curved boundaries in dimension three. The spectrum of the Neumann Laplacian
A. Laurain, S. Nazarov and J. Sokolowski,
Journal for Analysis and its Applications, Vol. 30 (2011), No. 2, pp. 148-180.
7) Multiphase image segmentation and modulation recovery based on shape and topological sensitivity
M. Hintermüller and A. Laurain,
Journal of Mathematical Imaging and Vision, Volume 35, Number 1 (September 2009). pp. 1-22.
6) On the analysis of boundary value problems in nonsmooth domains
Frémiot, W. Horn, A. Laurain, M. Rao and J. Sokolowski,
Dissertationes Mathematicae, 462 (2009), 149 pp.
5) Electrical Impedance Tomography: From Topology to Shape
M. Hintermüller and A. Laurain
Control and Cybernetics, special issue on the occasion of Jean-Paul Zoléesio's 60th birthday, Vol. 37, No. 4, 2008.
4) A shape and topology optimization technique for solving a class of linear complementary problems in function space
M. Hintermüller and A. Laurain,
Computational Optimization and Applications, 2010, Vol. 46, No. 3, pp. 535-569.
3) Level set method with topological derivatives in shape optimization
P. Fulmanski, A. Laurain, J.-F. Scheid and J. Sokolowski,
International Journal of Computer Mathematics, Vol. 85, No. 10, October 2008, pp. 1491-1514(24).
2) A level set method in shape and topology optimization for variational inequalities
P. Fulmanski, A. Laurain, J.-F. Scheid and J. Sokolowski,
International Journal of Applied Mathematics and Computer Science, 2007, Vol. 17, No. 3, 413-430.
1) Structure of shape derivatives in non-smooth domains and applications
A. Laurain,
Advances in Mathematical Sciences and Applications, Vol.15, No.1 (2005).