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