27 citations · 60 across the 18 of their papers we have counts for
5 papers · 1 filter
A fictitious domain approach for a mixed finite element method solving the two-phase Stokes problem with surface tension forces
Sébastien Court
In this article we study a mixed finite element formulation for solving the Stokes problem with general surface forces that induce a jump of the normal trace of the stress tensor,…
A fictitious domain finite element method for simulations of fluid-structure interactions: The Navier-Stokes equations coupled with a moving solid
Sébastien Court, Michel Fournié
The paper extends a stabilized fictitious domain finite element method initially developed for the Stokes problem to the incompressible Navier-Stokes equations coupled with a movin…
XFEM based fictitious domain method for linear elasticity model with crack
Olivier Bodart, Valérie Cayol, Sébastien Court +1
Reduction of computational cost of solutions is a key issue to crack identification or crack propagation problems. One of the solution is to avoid re-meshing the domain when the cr…
A fictitious domain approach for Fluid-Structure Interactions based on the eXtended Finite Element Method
Sébastien Court, Michel Fournié, Alexei Lozinski
In this work we develop a fictitious domain method for the Stokes problem which allows computations in domains whose boundaries do not depend on the mesh. The method is based on th…
A fictitious domain approach for the Stokes problem based on the extended finite element method
Sébastien Court, Michel Fournié, Alexei Lozinski
In the present work, we propose to extend to the Stokes problem a fictitious domain approach inspired by eXtended Finite Element Method and studied for Poisson problem in [Renard].…