Toggle Main Menu Toggle Search

Open Access padlockePrints

Semi-analytical solution of Poisson's equation in bounded domain

Lookup NU author(s): Dr Hao Song, Professor Longbin Tao

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.


Abstract

Poisson's equation is very important in electrostatics, mechanical engineering and theoretical physics. In this paper, a novel semi-analytical mathematical method, namely scaled boundary finite-element method (SBFEM), is applied to solve Poisson’s equation with Dirichlet and Neumann boundary conditions in bounded domain. The SBFEM weakens the governing differential equation in the circumferential direction and solves the weakened equation analytically in the radial direction, combining the advantages of the finite-element method and the boundary-element method. Three examples are calculated to demonstrate the excellent computation accuracy and efficiency of the present SBFEM approach, revealing the great potential of the SBFEM to solve more complex engineering problems.


Publication metadata

Author(s): Song H, Tao L

Publication type: Article

Publication status: Published

Journal: ANZIAM Journal

Year: 2010

Volume: 51

Pages: C169-C185

Print publication date: 03/05/2010

Date deposited: 16/03/2011

ISSN (electronic): 1446-8735

Publisher: Cambridge University Press

URL: http://dev.journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/2427


Share