Quasi‐dual reciprocity boundary‐element method for incompressible flow: Application to the diffusive–advective equation

This work presents a new boundary‐element method formulation called quasi‐dual reciprocity formulation for heat transfer problems, considering diffusive and advective terms. The present approach has some characteristics similar to those of the so‐called dual‐reciprocity formulation; however, the mathematical developments of the quasi‐dual reciprocity approach reduces approximation errors due to global domain interpolation. Some one‐ and two‐dimensional examples are presented, the results being compared against those obtained from analytical and dual‐reciprocity formulations. The method convergence is evaluated through analyses where the mesh is successively refined for various Peclet numbers, in order to assess the effect of the advective term. Copyright © 2003 John Wiley & Sons, Ltd.