Boundary Element Method

This chapter presents a brief introduction of the boundary element method (BEM) along with a simple example problem for easy understanding of the method. To use the BEM for solving boundary value problems, one must transform the problem into an equivalent boundary integral equation problem. In this...

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Bibliographic Details
Published in:Advanced Numerical and Semi-Analytical Methods for Differential Equations pp. 91 - 101
Main Authors: Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi
Format: Book Chapter
Language:English
Published: United States Wiley 2019
John Wiley & Sons, Incorporated
John Wiley & Sons, Inc
Edition:1
Subjects:
boundary element method
boundary integral equation problem
boundary value problems
differential equations
Dirac delta function
Green's function
Heaviside function
integral theorems
Laplace equations
Integral equations
Boundary element methods
Tools
Finite element analysis
Green's function methods
Frequency division multiplexing
ISBN:9781119423423, 1119423422
Online Access:Get full text
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Description
Summary:This chapter presents a brief introduction of the boundary element method (BEM) along with a simple example problem for easy understanding of the method. To use the BEM for solving boundary value problems, one must transform the problem into an equivalent boundary integral equation problem. In this regard, the fundamental solution and Green's integral theorems are very useful tools. Accordingly, the chapter discusses the fundamental solution, Green's function, and integral theorems. Before discussing the fundamental solution, a brief review of the Heaviside function and Dirac delta function in R 2 is needed. Green's function is described as integral kernel that can be used to solve differential equations. In the chapter, the Green's function may be considered as a fundamental solution for the differential equation. Green's integral formula is a very useful tool for finding the derivation of integral equations formed in the BEM.
ISBN:9781119423423
1119423422
DOI:10.1002/9781119423461.ch8