Boundary Element Method: Processing of the Source Term of the Poisson Equation by Means of Boundary Integrals Only

1982 ◽  
pp. 1111-1118 ◽  
Author(s):  
A. Di Monaco ◽  
R. Rangogni
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Poisson Equation ◽  
Source Term ◽  
Boundary Integrals ◽  
The Poisson Equation ◽  
Element Method

scholarly journals Multiscale boundary element method for Poisson’s equation

2017 ◽  
Vol 13 (2) ◽  
Author(s):  
Nor Afifah Hanim Zulkefli ◽  
Su Hoe Yeak ◽  
Munira Ismail
Keyword(s):  
Boundary Element Method ◽  
Numerical Solution ◽  
Boundary Element ◽  
Poisson Equation ◽  
Poisson’S Equation ◽  
Poisson's Equation ◽  
Numerical Example ◽  
The Poisson Equation ◽  
Method Show ◽  
Element Method

This paper applied the multiscale boundary element method for the numerical solution of the Poisson equation. The multiscale technique coupling with boundary element method will be used to solve the problem of Poisson equation efficiently and faster. Numerical example is given to illustrate the efficiency of the propose method. The solution of proposed method will be compared with boundary element method and the former method show less iteration in computation.

A Boundary Element Method Without Internal Cells for Two-Dimensional and Three-Dimensional Elastoplastic Problems

2001 ◽  
Vol 69 (2) ◽  
pp. 154-160 ◽  
Author(s):  
X.-W. Gao
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Initial Stresses ◽  
Boundary Integrals ◽  
Transformation Technique ◽  
Weakly Singular ◽  
Simple Boundary ◽  
Singular Domain ◽  
Element Method

In this paper, a new and simple boundary element method without internal cells is presented for the analysis of elastoplastic problems, based on an effective transformation technique from domain integrals to boundary integrals. The strong singularities appearing in internal stress integral equations are removed by transforming the domain integrals to the boundary. Other weakly singular domain integrals are transformed to the boundary by approximating the initial stresses with radial basis functions combined with polynomials in global coordinates. Three numerical examples are presented to demonstrate the validity and effectiveness of the proposed method.

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