BEM solution of Poisson's equation with source function satisfying del(2)(rho)= constant

Authors
Suciu, R De Mey, G De Baetselier, E
Citation
R. Suciu et al., BEM solution of Poisson's equation with source function satisfying del(2)(rho)= constant, ENG ANAL, 25(2), 2001, pp. 141-145
Citations number
7
Categorie Soggetti
Engineering Mathematics
Journal title
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
ISSN journal
09557997 → ACNP
Volume
25
Issue
2
Year of publication
2001
Pages
141 - 145
Database
ISI
SICI code
0955-7997(200102)25:2<141:BSOPEW>2.0.ZU;2-J
Abstract
In this paper Poisson's equation in two dimensions is studied and different solutions with a BEM are outlined depending on whether the source function is harmonic or not, When the Laplacian of the source function is zero or a constant, the Galerkin vector and the multiple-reciprocity method are appl ied. When the Laplacian of the source function is no longer zero, the sourc e function is approximated by Lagrange polynomials. This method is then imp roved by subtracting a parabola from the source function. (C) 2001 Elsevier Science Ltd. All rights reserved.