A combination of LTDRM and ATPS in solving diffusion problems

摘要

The dual reciprocity boundary element method (DRBEM), a powerful method originally proposed by Nardini and Brebbia [11] to eliminate domain (volume) integrals as a non-conventional BEM approach, has been applied to solve many engineering problems and it has generated many useful variations such as the Laplace transform dual reciprocity method (LTDRM) [19] and the separation of variables-dual reciprocity method (SOVDRM) [2]. On the other hand, there are relatively fewer variations in terms of the interpolation functions used in DRBEM to approximate the integrand of the involved volume integral; the most popularly adopted one remains to be the polynomial form of sum from _(m chemic bounds 0 ~s r_j~m as summerized by Partridge et al. [12].