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