
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, geophysics 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