The authors prove the convergence and get a priori error estimates for the approximation of diffusion equations of the form
by the finite volume element method. The two dimensional domain
is assumed to be polygonal and exactly covered by a general Delaunay-Voronoi triangulation with no interior angle larger than 90
. Thus they prove O(h) estimates of the error in a discrete
-seminorm and a
estimate under an additional assumption concerning local uniformity of the triangulation.