WIT Press


The Method Of Fundamental Solutions, A Dipole Formulation For Potential Problems

Price

Free (open access)

Paper DOI

10.2495/BE040201

Volume

37

Pages

11

Published

2004

Size

395 kb

Author(s)

G.S.A. Fam & Y.F. Rashed

Abstract

This paper introduces the use of a dipole formulation within the Method of Fundamental Solutions for potential problems. The present formulation is set up by taking the limiting case of two adjacent sources. The necessary kernels are derived in explicit forms. Two numerical examples, including torsion analysis of irregular cross section, are solved. Several parametric studies are presented to demonstrate different configurations for the placement of sources (monopoles or dipoles). The accuracy of the present new formulation is verified by comparing its results to those obtained from the traditional source formulation. 1 Introduction The Method of Fundamental Solutions (MFS) is an indirect discrete boundary integral method. It appeared 4 decades ago in the work of K

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