|Mr. Sébastien COURT
Function: Post doctoral research fellow
Participation in ClerVolc program N°: 2
Main Research Unit: Mathematics Laboratory (LM)
I am a ClerVolc post-doctoral fellow working at Laboratoire de Mathématiques, Université Blaise Pascal, with Olivier Bodart, Valérie Cayol and Jonas Koko. My PhD work in the Institut de Mathématiques de Toulouse (France) was related to fluid-structure interactions, more specifically the study of a model coupling a viscous incompressible fluid with a deformable solid. I have also developed a numerical method allowing to consider geometries that do not match to the mesh. The main objective of my postdoc lies is the identification of dikes and fissures from surface measurements. The first step consists of carrying out a direct solver for simulating discontinuous fields of displacement inside volcanoes, induced by cracks on which the information is known. The second step deals with inverse problems. The goal is the development of a fast and efficient algorithm able to recover information on a subsurface crack (its position, its shape, boundary conditions…) responsible for surface displacements. The data we have are only at the surface. The robustness with respect to the geometry is another crucial criterion. That is why the tools we have opted for are based on Finite Element Methods, more precisely on fictitious domain methods.
Research interest: Elasticity problems, Finite Element Methods, Fictitious domain methods, Mechanics of deformable solids.
- S. Court, Existence of 3D strong solutions for a system modeling a deformable solid in a viscous incompressible fluid. In revision.
- S. Court, M. Fournié, A. Lozinski, A fictitious domain approach for the Stokes problem based on the extended finite element method. Int. J. Numer. Meth. Fluids, no. 74 (2014), pp. 73-–99.