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