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Résolution de l’équation de la chaleur instationnaire en milieu confiné par une méthode particules-maillage. (Numerical solution of the heat equation in an enclosure using a particle mesh method). (French) Zbl 0668.76121

This paper is devoted to present a deterministic grid-particle method for the approximation of convection-diffusion equations on a bounded area in two dimensions. Using a Clouds-in-Cells representation the method is applied to the heat equation with non-degenerate boundary conditions of the Dirichlet type.

MSC:

76R50 Diffusion
35K05 Heat equation
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