Footbridges finite volumes - finite elements

The aim of this work is to introduce a new algorithm for the dicretization of second order elliptic operators in the context of finite volume schemes. The technique consists in matching to a finite volume discretization based on a given mesh, a finite element volume representation on the same given mesh. An inverse operator is also built. The results of numerical experimen ts concerning a system of two-dimensional, nonlinear partial differential e quations on a unstructured mesh are presented (C) Academie des Sciences/Els evier, Paris.