Romain Mottier
PhD student in Applied Mathematics for Computational Physics
romain.mottier@outlook.com
French Alternative Energies and Atomic Energy Commission (CEA)
Teaching and Research Center in Mathematics and Scientific Computing (CERMICS)
French Institute for Research in Numerical Science and Technology (INRIA - SERENA)
Welcome to my academic webpage!
About me
As a computational scientist I have a strong background in numerical methods with skills in numerical analysis for partial differential equations (PDEs) and strong programming skills (Fortran/C++/Python/Matlab) and physics (fluid and solid mechanics, geophysiscs or biology). I am also interested in the optimization and the portability of the numerical methods on high performance computing architectures (HPC).
More specifically, my research is focused on the use of non conforming hybrid high-order finite element methods (HDG/HHO) especially in the context of unfitted methods (also known as embedded or immersed methods). These latter allow the boundary or physical interfaces to cut arbitrarily through the mesh cells. By coupling them with HDG/HHO methods, the idea is to achieve a high-order approximation of our problem while greatly simplifying the mesh generation. In this framework, I am currently working on the numerical simulation of the propagation of elasto-acoustic waves (coupling between the seismic field and atmospheric acoustics or the water), using the methods mentioned above.
Research interests
- Unfitted methods
- Finite Element Methods (FEM)
- High-order polytopal methods (HHO - HDG - DG - VEM)
- Solid and Fluid Mechanics
- Geophysics (wave propagation - climate modeling)
- Biology
Publications and preprints
Preprints soon available.
Talks
Hybrid high-order methods for time-dependent, coupled elasto-acoustic wave propagation
World Congress on Computational Mechanics (WCCM) - Vancouver (Canada) -
July 2024 - [ZIP]
European Congress on Computational Methods in Applied Sciences and Engineering
(ECCOMAS) - Lisbon (Portugal) - June 2024 - [PDF]
Unfitted HHO method with polynomial extension for elliptic interface problems
National Congress of Numerical
Analysis (CANUM) - Ile de Ré (France) - May 2024 - [PDF]
Posters
Numerical study of energy transfer in sedimentary basins using high-order methods
American Geophysical Union (AGU) -
San Francisco (USA) - December 2023 - [PDF]
Congress of Young Researchers in Applied Mathematics (CJCMA) - Paris (France) -
September 2023 - [PDF]
Previous experiences
- Implementation of Spectral Differences (SD) and a Compatible Discrete Operator (CDO) scheme to solve Maxwell equations.
French Office for Aerospace
Studies and Research (ONERA) , Toulouse (France), March - August 2021.
- Numerical modeling of the temperature distribution on the surface and in the depths of Mercury.
European space agency (ESA),
Nordwijck (Nederland), May - August 2020.
Teaching
2nd year of Bachelor's degree in Mathematics and Computer science
Course : Numerical methods (Nonlinear equations, polynomial interpolation, quadrature formulas,
iterative and direct
methods for solving linear systems, eigenvalue and eigenvector computing)
Teaching Assistantship: Supervision of theoretical and practical work classes
1st year of Master's degree in Computational Mechanics
Course : Numerical methods (Linear systems, Finite differences etc...)
Teaching Assistantship: Supervision of practical work sessions and numerical modeling
projects