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We present finite volumes schemes for the numerical approximation of the one-dimensional Vlasov-Poisson equation (FOV CEMRACS 2011 project). Stability analysis is performed for the linear advection and links with semi-Lagrangian schemes are made. Finally, numerical results enable to compare the different methods using classical plasma test cases. Résumé. Des schémas de type volumes finis sont é...

a constitutive model based on two–dimensional unstructured galerkin finite volume method (gfvm) is introduced and applied for analyzing nonlinear behavior of cracked concrete structures in equilibrium condition. the developed iterative solver treats concrete as an orthotropic nonlinear material and considers the softening and hardening behavior of concrete under compression and tension by using...

The finite volume Laplacian can be defined in all dimensions and is a natural way to approximate the operator on simplicial mesh. In most general setting, its definition with orthogonal duals may require that not volumes are positive; an example case corresponding two-dimensional elements non-Delaunay triangulation. Nonetheless, many cases two- three-dimensional Laplacians shown negative semide...