Author(s)

J.T. Katsikadelis

Abstract

In this paper the Analog Equation Method, a BEM-based method, is employed to establish the differential equation governing the behaviour of a physical system for which the source (input) and its response (output) are known. We come across to such cases in the effort to identify constitutive laws of materials including constant or spatially varying parameters (non-homogeneous materials), or constitutive laws depending non-linearly on the unknown field function and/or its derivatives. Certain example problems are presented which validate the efficiency of developed procedure. Among them, temperature distribution problems in non- homogeneous bodies or in bodies with temperature dependent thermal conductivity as well as non-linear steady-state flow problems governed Burgers' equation. 1 Introduc

Keywords