Boundary element modeling of 3D anisotropic heat conduction involving arbitrary volume heat source

This article presents a BIE (Boundary Integral Equation) modeling that applies the technique of domain mapping (Shiah and Tan (1998) [12]) as well as MRM (Multiple Reciprocity Method (Nowak (1989) [10])) to treat the problem of 3D anisotropic heat conduction involving arbitrary volume heat source. By the domain mapping technique, the original function of the volume heat source is accordingly transformed to a new function defined in the mapped domain. As a result of applying MRM, the volume integral arising from the transformed heat source is transformed into a series of boundary integrals. At the end of this paper, three numerical examples are presented to show the veracity and accuracy of the proposed algorithm. Also, the convergence of the transformed boundary integrals is also investigated for different types of volume heat source functions.