WIT Press


Parallel Laplace Transform Boundary Element Methods For Diffusion Problems

Price

Free (open access)

Paper DOI

10.2495/BE980251

Volume

21

Pages

10

Published

1998

Size

558 kb

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