Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
An overlapping domain decomposition approach for coupling the finite and boundary element methods
 

Summary: An overlapping domain decomposition approach for coupling the finite
and boundary element methods
W.M. Elleithy, H.J. Al-Gahtani*
Civil Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Received 16 November 1999; received in revised form 6 March 2000; accepted 27 March 2000
Abstract
An overlapping iterative domain decomposition approach for the coupling of the finite element method (FEM) and the boundary element
method (BEM) is presented in this paper. In this proposed method, the domain of the original problem is subdivided into a FEM sub-domain
and a BEM sub-domain, such that the two sub-domains partially overlap over a common region. The common region is modeled by both
methods. A brief discussion on the existing iterative coupling methods and their limitations are given in the first part of this paper. In the
second part, the proposed overlapping method is described and the convergence conditions are presented. Two numerical examples are given
to demonstrate the capability of the proposed method for handling cases where the Neumann boundary conditions are specified on the entire
external boundary of the FEM or BEM sub-domains. 2000 Elsevier Science Ltd. All rights reserved.
Keywords: Boundary element method; Finite element method; Domain decomposition; Iterative methods; Coupling
1. Introduction
The finite element method (FEM) and the boundary
element method (BEM) are well known as powerful numer-
ical techniques for solving a wide range of problems in
applied science and engineering. Each method has its own
advantages and disadvantages, so that it is desirable to

  

Source: Al-Gahtani, Husain Jubran - Department of Civil Engineering, King Fahd University of Petroleum and Minerals

 

Collections: Engineering