Some Recent Developments in Coupling of Finite Element and Boundary Element Methods - Part I: An Overview

2014 ◽  
Vol 580-583 ◽  
pp. 2936-2942 ◽  
Author(s):  
Wael Elleithy ◽  
Lau Teck Leong
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Boundary Element ◽  
Boundary Element Methods ◽  
Coupling Method ◽  
Relaxation Parameters ◽  
Recent Developments ◽  
Optimal Dynamic ◽  
Element Boundary

Conventional and a class of domain decomposition finite element–boundary element coupling (FEM–BEM) methods are reviewed. This is Part I of two papers. In Part II, a review of the mixed Dirichlet-Neumann domain decomposition FEM-BEM coupling method is presented and optimal dynamic values of the relaxation parameters for the mixed Dirichlet-Neumann FEM-BEM coupling method are, furthermore, derived.

Some Recent Developments in Coupling of Finite Element and Boundary Element Methods - Part II: Dynamic Procedures for Determining the Relaxation Parameters for the Mixed Dirichlet-Neumann Domain Decomposition FEM-BEM Coupling Method

2014 ◽  
Vol 580-583 ◽  
pp. 2943-2947
Author(s):  
Wael Elleithy ◽  
Lau Teck Leong
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Boundary Element ◽  
Boundary Element Methods ◽  
Coupling Method ◽  
Dynamic Calculation ◽  
Relaxation Parameters ◽  
Coupling Methods ◽  
Recent Developments ◽  
Element Boundary

Part I of this paper presents an overview of the conventional and a class of domain decomposition finite element-boundary element coupling methods. In this part, a review of the mixed Dirichlet-Neumann domain decomposition coupling method, procedures for dynamic calculation of relaxation parameters for the mixed Dirichlet-Neumann FEM-BEM coupling method and an example application are presented.

Multi-Domain Analysis by FEM-BEM Coupling and BEM-DD Part I: Formulation and Implementation

2013 ◽  
Vol 353-356 ◽  
pp. 3263-3268 ◽  
Author(s):  
Wael Elleithy
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Boundary Element ◽  
Relaxation Method ◽  
Domain Analysis ◽  
Relaxation Methods ◽  
Convergence Conditions ◽  
Element Boundary

Several existing interface relaxation methods for finite element–boundary element coupling (FEM–BEM) and for boundary element–domain decomposition (BEM–DD) are reviewed. Furthermore, an interface relaxation method for BEM–DD is presented. This is Part I of two papers. In Part II, the convergence conditions of the interface relaxation FEM-BEM coupling and BEM-DD method are established. Example application is given for elaboration

Multi-Domain Analysis by FEM-BEM Coupling and BEM-DD Part II: Convergence

2013 ◽  
Vol 353-356 ◽  
pp. 3269-3275 ◽  
Author(s):  
Wael Elleithy
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Boundary Element ◽  
Relaxation Method ◽  
Domain Analysis ◽  
Convergence Conditions ◽  
Element Boundary

In Part I of this paper, a mixed Dirichlet-Neumann interface relaxation method for boundary element–domain decomposition (BEM–DD) is presented. In this part, the convergence conditions of the mixed Dirichlet-Neumann interface relaxation finite element-boundary element coupling (FEM–BEM) and for BEM–DD method are established.

Sign in / Sign up

Export Citation Format

Share Document