Author(s)

D. Crann, A.J. Davies and J. Mushtaq

Abstract

The Laplace transform method in time has been used, together with the boundary element method, by a number of authors for the solution of diffusion problems. The major problem associated with the use of the Laplace transform is the development of a numerical inversion. There is a variety of numerical techniques available and the most attractive are those based on real arithmetic. One technique, Stehfest's method, based on a statistically calculated sample, has been the numerical inversion process chosen by all authors so far. The procedure has been successfully implemented on a distributed memory architecture. An alternative technique, based on shifted Legendre polynomials, has been used together with th

Keywords