Numerical justification of fundamental solutions and the quasi-Monte Carlo method for Poisson-type equations

C. S. Chen; M. A. Golberg; Y. C. Hon

doi:10.1016/S0955-7997(98)00036-8

Author(s)

C. S. Chen
M. A. Golberg
Y. C. Hon

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	61-69
Journal / Publication	Engineering Analysis with Boundary Elements
Volume	22
Issue number	1
Publication status	Published - Jul 1998

Link(s)

DOI	DOI https://doi.org/10.1016/S0955-7997(98)00036-8 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0032115896&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(1605dc21-8058-482d-a92d-6c6fce9e3549).html

Abstract

The numerical method developed in this paper is a generalization of the work for solving Poisson-type equations for arbitrary shaped domains in two dimensional (2D) and three dimensional (3D) cases. Regardless of the geometric shape of the boundary and without generating complex computational grids in the domain, we compute a particular solution by domain embedding and domain transformation. For numerical integration, we adopt the quasi-Monte Carlo method to avoid the difficulty of singularity and domain discretization. Three numerical examples in 2D and 3D were given to demonstrate the simplicity and effectiveness of the proposed method. © 1998 Elsevier Science Ltd. All rights reserved.