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