27 citations · 60 across the 18 of their papers we have counts for
20 papers
A hybrid optimal control problem constrained with hyperelasticity and the global injectivity condition
Sébastien Court
The purpose of this paper is to address a class of hybrid optimal control problems constrained with hyperelasticity and constant global volume. This type of problems can intervene…
Approximate controllabillity of a 2D linear system related to the motion of two fluids with surface tension
Sebastien Court
We consider a coupled system of partial differential equations describing the interactions between a closed free interface and two viscous incompressible fluids. The fluids are ass…
A damped elastodynamics system under the global injectivity condition: Local wellposedness in -spaces
Sebastien Court
The purpose of this paper is to model mathematically mechanical aspects of cardiac tissues. The latter constitute an elastic domain whose total volume remains constant. The time de…
Variational multichannel multiclass segmentation using unsupervised lifting with CNNs
Nadja Gruber, Johannes Schwab, Sebastien Court +2
We propose an unsupervised image segmentation approach, that combines a variational energy functional and deep convolutional neural networks. The variational part is based on a rec…
Feedback stabilization of a two-fluid surface tension system modeling the motion of a soap bubble at low Reynolds number: The two-dimensional case
Sebastien Court
The aim of this paper is to design a feedback operator for stabilizing in infinite time horizon a system modeling the interactions between a viscous incompressible fluid and the de…
Lifting-based variational multiclass segmentation algorithm: design, convergence analysis, and implementation with applications in medical imaging
Nadja Gruber, Johannes Schwab, Sebastien Court +2
We propose, analyze and realize a variational multiclass segmentation scheme that partitions a given image into multiple regions exhibiting specific properties. Our method determin…
Relaxation approach for learning neural network regularizers for a class of identification problems
Sebastien Court
The present paper deals with the data-driven design of regularizers in the form of artificial neural networks, for solving certain inverse problems formulated as optimal control pr…
Design of the monodomain model by artificial neural networks
Sebastien Court, Karl Kunisch
We propose an optimal control approach in order to identify the nonlinearity in the monodomain model, from given data. This data-driven approach gives an answer to the problem of s…
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,…
Optimal control problem for systems of conservation laws, with geometric parameter, and application to the Shallow-Water Equations
Sébastien Court, Karl Kunisch, Laurent Pfeiffer
A theoretical framework and numerical techniques to solve optimal control problems with a spatial trace term in the terminal cost and governed by regularized nonlinear hyperbolic c…
Hybrid Optimal Control Problems for a Class of Semilinear Parabolic Equations
Sébastien Court, Karl Kunisch, Laurent Pfeiffer
A class of optimal control problems of hybrid nature governed by semilinear parabolic equations is considered. These problems involve the optimization of switching times at which t…
Optimal Control for a Class of Infinite Dimensional Systems Involving an -term in the Cost Functional
Sébastien Court, Karl Kunisch, Laurent Pfeiffer
An optimal control problem with a time-parameter is considered. The functional to be optimized includes the maximum over time-horizon reached by a function of the state variable, a…
Almost global existence of weak solutions for the nonlinear elastodynamics system for a class of strain energies
Sébastien Court, Karl Kunisch
The aim of this paper is to prove the existence of almost global weak solutions for the unsteady nonlinear elastodynamics system in dimension or , for a range of strain en…
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].…
Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. Part II: The nonlinear system
Sébastien Court
In this second part we prove that the full nonlinear fluid-solid system introduced in Part I is stabilizable by deformations of the solid that have to satisfy nonlinear constraints…
Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. Part I: The linearized system
Sébastien Court
This paper is the first part of a work which consists in proving the stabilization to zero of a fluid-solid system, in dimension 2 and 3. The considered system couples a deformable…
Existence of 3D strong solutions for a system modeling a deformable solid inside a viscous incompressible fluid
Sébastien Court
In this paper we study a coupled system modeling the movement of a deformable solid immersed in a fluid. For the solid we consider a given deformation that has to obey several phys…