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