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Homogenization FreeFem++ Elasticity Pontryagin maximum principle Level set method Imaging in complex media Periodic homogenization Adaptive evolution Numerical simulation Optimization Reduced basis method Cell division cycle Hyperbolic systems Finite volume scheme Domain decomposition methods Controllability Blood flow Navier-Stokes equations Interaction fluide-structure Reaction-diffusion equations Gross-Pitaevskii equation Finite volume Cancer Kinetic equations Finite element method Exponential stability Dimension reduction Maxwell equations Modélisation Structured populations Finite elements Nonlinear elasticity Error estimates Grenoble Data assimilation Gamma-convergence Numerical analysis Finite volume method Incompressible fluid Schrödinger equation Contrôle optimal Computational fluid dynamics Tumor growth Optimisation de forme Finite element Mathematical biology Stability Mean field games Discontinuous Galerkin Hemodynamics Uncertainty quantification Chemotaxis Finite volumes Convergence Wave equation Neural networks Asymptotic analysis Control theory Boltzmann equation Calculus of variations Analyse asymptotique Shape optimization Hamilton-Jacobi equation Asymptotic behavior Traveling waves Relaxation Transport equation Numerical simulations Linear elasticity Wolbachia Optimal control Modeling Boundary conditions Partial differential equations Décomposition de domaine Inverse problems Null controllability Viscosity solutions Integro-differential equations Heat equation Domain decomposition Fluid-structure interaction Contact Hamilton-Jacobi equations Control Maximum principle Observability Backstepping Population dynamics Analyse numérique Free surface flows Asymptotics Numerical methods Inverse problem Shells Stabilization Cardiac electrophysiology Existence Cell population dynamics Mathematical modeling