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