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