WIT Press


The Method Of Fundamental Solutions With Dual Reciprocity For Potential Problems Of The Type U=b(x,y,u)

Price

Free (open access)

Paper DOI

10.2495/BT010321

Volume

27

Pages

10

Published

2001

Size

776 kb

Author(s)

G.C. de Medeiros and P.W. Partridge

Abstract

The method of fundamental solutions with dual reciprocity for potential problems of the type G.C. de Medeiros and P.W. Partridge Departamento de Engenharia Civil - FT, Universidade de Brasilia Campus - Asa Norte, Brazil Abstract The Method of Fundamental Solutions (MFS), first proposed in the sixties, has recently re-appeared in the literature and accurate solutions have been reported using relatively few data points. The method requires no mesh and therefore no integration, and has been recently combined with Dual Reciprocity, (DRM) for treating inhomogeneous terms. Here stationary potential problems are considered for which the inhomogeneous terms are functions of the problem variable. The Method of Fundamental solutions is employed to model the homogeneous equation and Dual Reciprocity Method for the inhomogeneous terms. Mixed Neuman- Dirichlet boundary conditions are considered, and comparison is made with results obtained using DRBEM. The approximating functions emplo

Keywords