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