Using Self-adjoint Extensions in Shape Optimization. - Antoine Laurain; Katarzyna Szulc (System Modelling and Optimization, 2007)

A Level Set Method in Shape and Topology Optimization for Variational Inequalities. - Piotr Fulmanski; Antoine Laurain; Jean-François Scheid; Jan Sokolowski (Int. J. Appl. Math. Comput. Sci., 2007)

Level set method with topological derivatives in shape optimization. - Piotr Fulmanski; Antoine Laurain; Jean-François Scheid; Jan Sokolowski (Int. J. Comput. Math., 2008)

Multiphase Image Segmentation and Modulation Recovery Based on Shape and Topological Sensitivity. - Michael Hintermüller; Antoine Laurain (J. Math. Imaging Vis., 2009)

A shape and topology optimization technique for solving a class of linear complementarity problems in function space. - Michael Hintermüller; Antoine Laurain (Comput. Optim. Appl., 2010)

A total variation based approach to correcting surface coil magnetic resonance images. - Stephen L. Keeling; Michael Hintermüller; Florian Knoll; Daniel Kraft; Antoine Laurain (Appl. Math. Comput., 2011)

Optimal Shape Design Subject to Elliptic Variational Inequalities. - Michael Hintermüller; Antoine Laurain (SIAM J. Control. Optim., 2011)

Second-order topological expansion for electrical impedance tomography. - Michael Hintermüller; Antoine Laurain; Antonio André Novotny (Adv. Comput. Math., 2012)

An image space approach to Cartesian based parallel MR imaging with total variation regularization. - Stephen L. Keeling; Christian Clason; Michael Hintermüller; Florian Knoll; Antoine Laurain; Gregory von Winckel (Medical Image Anal., 2012)

Minimization of the Ground State for Two Phase Conductors in Low Contrast Regime. - Carlos Conca; Antoine Laurain; Rajesh Mahadevan (SIAM J. Appl. Math., 2012)

A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints. - Samuel Amstutz; Antoine Laurain (Comput. Optim. Appl., 2013)

A new reconstruction method for the inverse potential problem. - Alfredo Canelas; Antoine Laurain; Antonio André Novotny (J. Comput. Phys., 2014)

Droplet Footprint Control. - Antoine Laurain; Shawn W. Walker (SIAM J. Control. Optim., 2015)

Shape Optimization of an Electric Motor Subject to Nonlinear Magnetostatics. - Peter Gangl; Ulrich Langer; Antoine Laurain; Houcine Meftahi; Kevin Sturm (SIAM J. Sci. Comput., 2015)

Stability Analysis of the Reconstruction Step of the Voronoi Implicit Interface Method. - Antoine Laurain (SIAM J. Numer. Anal., 2017)

Analyzing Smooth and Singular Domain Perturbations in Level Set Methods. - Antoine Laurain (SIAM J. Math. Anal., 2018)

Analysis and application of a lower envelope method for sharp-interface multiphase problems. - Antoine Laurain (CoRR, 2021)

Optimal control of volume-preserving mean curvature flow. - Antoine Laurain; Shawn W. Walker (J. Comput. Phys., 2021)

Level Set-Based Shape Optimization Approach for Sharp-Interface Reconstructions in Time-Domain Full Waveform Inversion. - Yuri F. Albuquerque; Antoine Laurain; Irwin Yousept (SIAM J. Appl. Math., 2021)

Shape Optimization for Superconductors Governed by H(curl)-Elliptic Variational Inequalities. - Antoine Laurain; Malte Winckler; Irwin Yousept (SIAM J. Control. Optim., 2021)

A Shape Optimization Approach to the Problem of Covering a Two-Dimensional Region with Minimum-Radius Identical Balls. - Ernesto G. Birgin; Antoine Laurain; Rafael Massambone; Arthur G. Santana (SIAM J. Sci. Comput., 2021)

A Shape-Newton Approach to the Problem of Covering with Identical Balls. - Ernesto G. Birgin; Antoine Laurain; Rafael Massambone; Arthur G. Santana (SIAM J. Sci. Comput., 2022)

Sensitivity analysis and tailored design of minimization diagrams. - Ernesto G. Birgin; Antoine Laurain; T. Menezes (Math. Comput., 2023)

Bounds on the Optimal Radius When Covering a Set with Minimum Radius Identical Disks. - Ernesto G. Birgin; John L. C. Gardenghi; Antoine Laurain (Math. Oper. Res., 2024)