IME-USP

Antoine Laurain
Professor Associado
Departamento de Matemática Aplicada

Endereço: Rua do Matão, 1010
CEP 05508-090 – São Paulo – SP – Brasil
Sala: 109 B
Telefone: (11) 3091-6304

Educação e Títulos Acadêmicos
– 2017 Habilitation (Livre-docência),
Title : “Shape optimization techniques for inverse problems”
Institute of Mathematics and Statistics, University of São Paulo, Brazil.
– 2003-2006 PhD in Mathematics,
Dissertation : “Singularly perturbed domains in shape optimization”
Advisor : Jan Sokolowski, University Henri Poincaré, Nancy, France.
– 2002-2003 MSc in Mathematics (DEA),
Partial differential equations-Probability,
University Henri Poincaré, Nancy, France.
– 2001-2002 MA in Mathematics (Maîtrise),
University Henri Poincaré, Nancy, France.
– 2000-2001 BA in Mathematics (Licence),
University Henri Poincaré, Nancy, France.

Cursos que costuma lecionar
MAP5724 – Resolução Numérica de Equações Diferenciais Parciais Elípticas;
MAP3122 – Introdução á Análise Numérica
MAP2220 – Fundamentos de Análise Numérica

Principais prêmios recebidos ao longo da carreira
Bolsa CNPq de Produtividade em Pesquisa – PQ 2018, Modalidade/Nível : PQ-2.
“Nonsmooth shape optimization and control of free boundary problems”
Bolsa CNPq de Produtividade em Pesquisa – PQ 2015, Modalidade/Nível : PQ-2.
“Shape optimization / control of free boundaries”

Publicações selecionadas

  • Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities
    A. Laurain, M. Winckler, and I. Yousept
    Accepted for publication in SIAM Journal on Control and Optimization
  • Level set-based shape optimization approach for sharp-interface reconstructions in time-domain full waveform inversion
    Yuri F. Albuquerque, Antoine Laurain, and Irwin Yousept
    Accepted for publication in SIAM Journal on Applied Mathematics
  • 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
    https ://doi.org/10.1016/j.matpur.2019.09.002
  • A level set-based structural optimization code using FEniCS
    A. Laurain
    Structural and Multidisciplinary Optimization,
    September 2018, Volume 58, Issue 3, pp 1311?1334
    https ://doi.org/10.1007/s00158-018-1950-2
  • 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.
    DOI :10.1007/s00526-016-1084-6
  • 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
  • Distributed shape derivative via averaged adjoint method and applications
    A. Laurain, K. Sturm
    ESAIM : Mathematical Modelling and Numerical Analysis 50 (2016) 1241-1267
    DOI : http ://dx.doi.org/10.1051/m2an/2015075
  • 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,
    DOI :10.1088/0266-5611/31/7/075009
  • Droplet footprint control
    A. Laurain, S. Walker
    SIAM J. Control Optim., 53(2), 771?799. (29 pages)
    DOI :10.1137/140979721
  • 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
  • Global minimizers of the ground state for two phase conductors in low contrast regime
    A. Laurain
    ESAIM : COCV 20 (2014), 362?388.
  • 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.
  • 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
  • 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.
  • Multiphase image segmentation and modulation recovery based on shape and topological sensitivity
    M. Hintermüller and A. Laurain,
    Journal of Mathematical Imaging and Vision, September 2009, Vol. 35, No. 1, pp. 1-22.