Author(s)

M.T. Ibanez & H. Power

Abstract

The main objective of this work is to develop an efficient BEM scheme for the numerical solution of two dimensional heat problems. Our scheme will be of the reinitialization type, in which the domain integrals are computed by a recursion relation which depends only on the boundary temperature and flux at previous time step. To obtain the reinitialization approach, we will use in the integral representation formula, a Green function corresponding to zero temperature in a box containing the original domain, instead of using the classical free space fundamental solution. This Green function is given in terms of the original fun- damental solution plus a regular function inside the domain in consideration. It can therefore be used in the boundary integrals of the representation formulae (direct formu

Keywords