Titre: Schémas numériques dissipant l’entropie pour des équations paraboliques Résumé: Il est bien compris depuis maintenant un peu plus de 15 ans que le contrôle de l’entropie et de sa dissipation permet de caractériser le comportement en temps long des solutions d’équations de convection diffusion. Le contrôle de l’entropie joue aussi un…
Title:High order transmission conditions for the homogenization of interface problems Abstract: This work is a joint work with Xavier Claeys (UPMC, University Paris 6) and Valentin Vinoles (former PhD student, now at EPFL). Classical homogenization theory takes into account poorly interfaces (or boundaries). Indeed, it is well known that the…
Titre: Bistability of lamellipodial fragments Résumé: In experiments bistability of lamellipodial fragments has been observed with perturbation induced switching between a nonpolarized-nonmoving and a polarized-moving state. The Filament Based Lamellipodium Model, a two-dimensional, anisotropic, two-phase model of the lamellipodium is used to explain the bistability as a phenomenon induced by actin-myosin interaction. The bistability is obtained…
Coupling fluid-structure interaction with phase-field fracture Résumé: In this presentation, a concept for coupling fluid-structure interaction with brittle fracture in elasticity is proposed. The fluid-structure interaction problem is modeled in terms of the arbitrary Lagrangian-Eulerian technique and couples the isothermal, incompressible Navier-Stokes equations with nonlinear elastodynamics using the Saint-Venant Kirchhoff solid model. The brittle fracture model is based…
Learning digital brain models from multimodal image data We will present algorithms and methods to automatically build digital brain models from sets of observations. These observations may take the form of series of medical images or 3D geometrical objects extracted from these images, such as surface or curve meshes. One…
Simulation numérique suspensions: prise en compte des forces de lubrification avec correction du champ fluide Résumé : Lors de simulations numériques d’écoulements de particules dans un fluide de Stokes, se pose inévitablement la question de la gestion des interactions entre particules proches. En effet, quand deux solides se rapprochent, les…
Time and Reduced Basis Methods Abstract: Parametrized parabolic problems often occur in industrial or financial applications, e.g. as pricing of options on the stock market. If we want to calibrate an option pricing model, we need several evaluations for different parameters. Fine discretizations, that are needed for these problems, resolve…
Proper orthogonal decomposition for constrained optima control of PDEs Abstract: In this work optimal control problem for parabolic evolution problems with inequality constraints are considered. For its numerical solution a reduced-order approach based on proper orthogonal decomposition (POD) is applied. POD is a powerful technique for model reduction of non-linear…
Bilayer Plates: Model Reduction, Discretization and Gradient Flow The bending of bilayer plates is a mechanism which allows for large deformations via small externally induced lattice mismatches of the underlying materials. Its mathematical modeling, discussed in this talk, consists of a nonlinear fourth order problem with a pointwise isometry constraint.…
A Thermodynamically Consistent Phase-Field Model And Its Energy-Law Preserving Continuous Finite Element Method. Abstract: We develop a phase-field model for the binary incompressible (quasi-incompressible) fluid with thermocapillary effects, which allows for the different properties (densities, viscosities and heat conductivities) of each fluid component while maintaining thermodynamic consistency. The governing equations…
