Introduction

Abstract

This monograph is devoted to the study of finite difference methods on irregular networks for the numerical solution of boundary value problems (BVPs) Au = F with second order elliptic differential equations Lu = f. Problems of this type describe diffusion and heat conduction phenomena, sometimes involving convection, and other field problems which are of interest in physios and technology. Thus, we should mention the torsion of elastic prismatic bars, the transverse deflection of membranes under a lateral load, the distribution of the potential in irrational ideal fluid flow or fluid flow in porous media, neutron diffusion in nuclears reactors, and electromagnetic field distributions as well as electrostatic potential distributions, where the last two field problems can often be encountered in the modelling of electric motors and semiconductor devices, respectively.