[PDF] Top 20 Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations

... Plan of the paper. The outline of this article is as ...diffusive limit and the exponential return to ...convergence of the kinetic equation towards the heat equation as ε tends ... Voir le document complet

... present a finite volume based cell-centered method for solving diffusion equa- tions on three-dimensional unstructured grids with general tensor ...simulation of the coupling ... Voir le document complet

... use of particle methods for the microscopic equation, the numerical cost is reduced when ε ...to a standard PIC method (where f is represented by particles, and not g), the numerical noise is ... Voir le document complet

... propose a nonlinear Discrete Duality Finite Volume scheme to approximate the solutions of drift diffusion ...The scheme is built to preserve at the discrete level even on ... Voir le document complet

... 0.25 and n = 8 is plotted in Figure ...solution of the non-linear test problem on the above distorted grid, using two different ...five-point scheme and the CCLADS scheme which ... Voir le document complet

... MiMa-Part scheme is compared to MiMa-Grid for different values of ε , from 10 −2 to 1, in Figure ...evolution of log ||E(t)|| L 2 which is known to decrease linearly in ...The kinetic ... Voir le document complet

... above linear system, f k φ and f k ρ are the discrete HJ and continuity equations evaluated in u n,k , and J k φ,φ , J k φ,ρ , J k ρ,φ and J k ρ,ρ are the four blocks of ... Voir le document complet

... On a macroscopic level, the transport can be described by nonlinear partial dif- ferential equations for the ion concentrations (or, more precisely, volume fractions) and the ... Voir le document complet

... density of particles of a given ...density, and models linear or non-linear diffusion effects within the species ...drift of the species; it is sometimes referred ... Voir le document complet

... behavior of solutions to finite volume dis- cretizations of convection-diffusion equations or systems endowed with non-homogeneous Dirich- let and Neumann type boundary ... Voir le document complet

... (x), for u = P, ...1), for u = P, N. (11) In the remainder of the paper we will denote by (P) the corrosion model defined by (1), (4), (5), (9) and ...system of equations (1) is ... Voir le document complet

... cell-centered finite volume scheme, our goal, in the present work, is to elaborate, in the spirit of methods described in [16], a gen- eral approach to construct non-linear ... Voir le document complet

... multicomponent diffusion. In Parabolic problems, volume 80 of ...otz, and B. Grec. Diffusion models of multicomponent mixtures in the ...medicine, volume 30 of ... Voir le document complet

... Baiocchi, and L.D. Marini. Numerical approximation of the 1-D nonlinear drift-diffusion model in ...Nonlinear kinetic theory and mathematical aspects of hyperbolic system ... Voir le document complet

... to a simple method for proving the hypocoercivity associated to a kinetic equation involving a linear time relaxation ...construction of an adapted Lyapunov ... Voir le document complet

... the scheme and we state the main result of our paper in Theo- rem ...mesh and the corresponding dual barycentric mesh that are needed to define a CVFE scheme (see ...2.1.2 ... Voir le document complet

... context of complex porous media flows where irregular grids are often prescribed by the geology, the scheme we propose was designed to be able to handle highly anisotropic and heterogeneous ... Voir le document complet

... number of Newton iterations by time step is denoted by N max ...number of Newton iterations starts from a reasonably small value and falls down to 1 after a small number of time ... Voir le document complet

... Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - [r] ... Voir le document complet

... derived and studied in [ 12 ]. Its numerical approximation based on a projection-correction strategy [ 16 ] is described in [ 1 ...discretization of the elliptic part arising from the non-hydrostatic ... Voir le document complet