A finite volume method for the approximation of diffusion operators on distorted meshes (Q1568617)

This paper deals with diffusion equations on planar domains with arbitrarily irregular grids. The author proposes a finite volume method on the given grid, and it is coupled to another finite volume method on a dual grid. It is shown that the resulting matrix is positive definite, even though it may not be diagonally dominant. Several computational examples are given.