CONVERGENCE ANALYSIS OF A FINITE-VOLUME METHOD VIA A NEW NONCONFORMING FINITE-ELEMENT METHOD

The article is devoted to the study of convergence properties of a Fin ite Volume Method (FVM) using Voronoi boxes for discretization. The ap proach is based on the construction of a new nonconforming Finite Elem ent Method (FEM), such that the system of linear equations coincides c ompletely with that for the FVM. Thus, by proving convergence properti es of the FEM, we obtain similar ones of the FVM. In this article, the investigations are restricted to the Poisson equation. (C) 1998 John Wiley gr Sons, Inc.