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Marius Duvillard
PhD Candidate in Applied Mathematics

About

I am a PhD candidate in Applied Mathematics with a strong interest in machine learning, probabilistic methods, and their application in simulation. I am currently seeking a full-time position in these fields.

Work Experience

CEA
Cadarache, France
October 2021 – Present
Ph.D. Student
Data Assimilation Methods for Lagrangian Simulations
Highlights
  • Developed a simulation tool for granular materials using the Material Point Method (MPM)
  • Developed data assimilation methods adapted to mesh-free simulations
  • Adaptation of Ensemble Kalman Filter for intensity correction and a variational approach for position correction
  • Applied to solid mechanics problems (MPM) and incompressible fluid dynamics (Vortex Method)
  • Presented work at international conferences (ECCOMAS 2024, PARTICLES 2023)
CEA
Cadarache, France
April 2021 – September 2021
Internship
Development of neural network models for nonlinear elastic and elastoplastic laws
Highlights
  • Developed neural networks constitutive models for nonlinear elastic and elastoplastic laws
  • Implemented a semi-supervised approach for penalization
  • Presented monthly progress updates within an international working group
Framatome
Paris, la Défense, France
June 2020 – August 2020
Internship
Thermomechanical modelization
Highlights
  • Studied thermal stratification in elastoplastic flexibility calculations
  • Defined a new model based on beam and shell elements
  • Integrated and applied the model on complex piping geometries
La Poste
Nantes, France
July 2019 – August 2019
Internship - Account Manager
Account management responsibilities
Highlights
  • Customer reception
  • Sales, advice, and merchandising
  • Deposit support
  • Improved skills in commercial relations and adaptability

Projects

  • Assessment of a Direct Data-Driven Approach for Nonlinear Elasticity:
  • Analysis and Prediction of Indentation Curves of Heterogeneous Materials:
  • The Discontinuous Galerkin Scheme in Space for Elastoplastic Solids:

Contact

4 rue de la Basinière
Saint Chéron, France 91530 FR
(+33) 688547008
LinkedIn
Researchgate

Education

Skills

Machine Learning
Pytorch Scikit-learn Keras
Scientific Programming
Python (Pandas, Numpy, Scipy, Plotly, etc.) Cpp
Mechanics
Gmsh Abaqus Ansys Apdl
Others
Git LaTeX Jekyll

Publications

ε–greedy automated indentation of cementitious materials for phase mechanical properties determination
Cement and Concrete Composites
01 May 2022

B. Hilloulin, M. Lagrange, M. Duvillard, G. Garioud, Cement and Concrete Composites, Vol. 129, 2022

Ensemble Data Assimilation for Particle-based Methods
2024

Marius Duvillard, Loïc Giraldi, Olivier Le Maître, Draft, 2024

Interests

Ancient and Traditional Music
Galoubet-Tambourin Recorder Diatonic Accordion
Sports
Rowing Running Trekking
Literature
Bosco Yourcenar Giono Dadet Zweig