An integral formulation for heat conduction problems in non-homogeneous media has recently been proposed by Kassab and Divo [Engineering Analysis with Boundary Elements 1996;18:273]. The goal of this communication is to revisit and clarify two key features of the formulation of Kassab and Divo. First, the contention that the integral equation formulation proposed by them does not possess the desired boundary-only character is made and substantiated; it is shown in particular that Eq. (10) therein does not hold owing to the fact that a crucial requirement for the fundamental solution, Eqs. (5c) and (5d) therein, is actually not met Second, the limiting process associated with a vanishing neighbourhood in connection with the particular kernel function used therein is revisited. (C) 1998 Elsevier Science Ltd. All rights reserved.
Comments about the paper entitled "A generalized boundary integral equation for isotropic heat conduction with spatially varying thermal conductivity" by A. J. Kassab and E. Divo
GUIGGIANI, MASSIMO
1998-01-01
Abstract
An integral formulation for heat conduction problems in non-homogeneous media has recently been proposed by Kassab and Divo [Engineering Analysis with Boundary Elements 1996;18:273]. The goal of this communication is to revisit and clarify two key features of the formulation of Kassab and Divo. First, the contention that the integral equation formulation proposed by them does not possess the desired boundary-only character is made and substantiated; it is shown in particular that Eq. (10) therein does not hold owing to the fact that a crucial requirement for the fundamental solution, Eqs. (5c) and (5d) therein, is actually not met Second, the limiting process associated with a vanishing neighbourhood in connection with the particular kernel function used therein is revisited. (C) 1998 Elsevier Science Ltd. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
