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