“…Various finite volume schemes are used for their numerical simulation on complex multidimensional geometries with an unstructured mesh (see for example [8]). In that context, implicit schemes have been used for a long time to solve large multidimensional problems (see the review article [1]) whether with some flux upwinding or not [2,1]. However, little theoretical results exist regarding their convergence when the scheme is not upwind (see [3,9,4]).…”