Current position

• (04/2019 - ...) - Research associate in applied mathematics at the Massachusetts Institute of Technology
  • In collaboration with Anthony T. Patera
  • In collaboration with Army Research Office
  • Parametrized model order reduction for geophysical flows : engineered coastal and hydraulic systems (canals, rivers, waterways...)

Former positions

• (01/2016 - 01/2019) - CIFRE PhD student in applied mathematics at CERMICS
  • Directed by Alexandre Ern
  • In collaboration with Virginie Ehrlacher and Sébastien Meunier
  • PhD program supported by EDF R&D 
  • Defended on December, 21st, 2018 [Manuscript, Defense slides]

• (07/2013 - 07/2014) - Junior pre-graduate research engineer at Airbus France
  • Mathematical modeling for acoustics

Research interests                                                                                                                               

• Reduced order modeling for nonlinear PDEs:
  • Nonlinear heat transfer problems
  • Proper orthogonal decomposition
  • Reduced basis methods
  • Greedy algorithms 
• Reduced order modeling for variational inequalities:
  • Contact mechanics
  • Nonlinear constraints
  • Reduced basis methods
  • Greedy algorithms 
• Data assimilation:
  • Parametrized-Background Data-Weak approach
  • Reducing sensors in transient heat transfer problems
• Port-Reduced Reduced-Basis Component methods (PR-RBC):
  • Nonlinear problems
  • Incompressible flows
  • Navier-Stokes equations
  • Applications to water flow in rivers and canals

Industrial collaborations 

• EDF R&D
• ARO

Publications

• AB, V. Ehrlacher, A. Ern and S. Meunier, A progressive reduced basis/empirical interpolation method for nonlinear parabolic problems, SIAM J. Sci. Comput., 40(5), A2930--A2955 (2018) [pdf , copyright SIAM]

• AB, A. Ern and V. Ehrlacher. A reduced basis method for parametrized variational inequalities applied to contact mechanics, International Journal for Numerical Methods in Engineering, 121(6):1170–1197 (2020). [pdf]

• AB. A time-dependent Parametrized Background Data-Weak approach (accepted by Springer, 2020) [pdf]

• AB. An inexpensive offline stage for data-assimilation problems (submitted) [pdf]

Conference talks

• Reduced order modeling for nonlinear heat transfer
  • Workshop Industry & Mathematics (Paris, France, November 2016).
  • MODRED 2017 (Odense, Danemark, January 2017) [Slides]
• PREIM (Progressive RB-EIM) for nonlinear PDEs
  • ENUMATH 2017 (Voss, Norway, September 2017) [Slides]
  • MORTech 2017 (Sevilla, Spain, November 2017) [Slides]
  • MoRePaS 2018 (Nantes, France, April 2018) [Poster]
• Reduced basis methods for variational inequalities
  • GDR AMORE 2018 (Paris, France, November 2018)
  • COUPLED 2019 (Sitges, Spain, June 2019) [Slides]
  • Mathematics of Reduced Order Models (Providence, USA, February 2020) [Slides]
• Model reduction with data assimilation
  • ENUMATH 2019 (Egmond aan Zee, Netherlands, October 2019) [Slides]
•  PR-RBC for linear and nonlinear incompressible fluid flows
  • ​​Mathematics of Reduced Order Models (Providence, USA, March 2020)

Teaching activities

• Arithmetics and cryptography basics at University Pierre et Marie Curie: [webpage]
• Training session at EDF R&D on the industrial model reduction software developed during the thesis
• Supervision of a Master's thesis on applied model reduction to industrial valves at EDF R&D
• Hands-on session on model reduction at University Mohamed 6 Polytechnique [Assignment]

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