Dual Reciprocity Boundary Element Method

Dual Reciprocity Boundary Element Method edited by P.W. Partridge, C.A. Brebbia, Wrobel.

The boundary element method (BEM) is now a well-established numerical technique which provides an efficient alternative to the prevailing finite difference and finite element methods for the solution of a wide range of engineering problems. The main advantage of the BEM is its unique ability to prov...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Partridge, P.W (Editor), Brebbia, C.A (Editor), Wrobel (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1991.
Edition:1st ed. 1991.
Series:International Series on Computational Engineering
Springer eBook Collection.
Subjects:
Mechanical engineering.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction
  • 2 The Boundary Element Method for Equations ?2u = 0 and ?2u = b
  • 2.1 Introduction
  • 2.2 The Case of the Laplace Equation
  • 2.3 Formulation for the Poisson Equation
  • 2.4 Computer Program 1
  • 2.5 References
  • 3 The Dual Reciprocity Method for Equations of the Type ?2u = b(x, y)
  • 3.1 Equation Development
  • 3.2 Different f Expansions
  • 3.3 Computer Implementation
  • 3.4 Computer Program 2
  • 3.5 Results for Different Functions b = b(x,y)
  • 3.6 Problems with Different Domain Integrals on Different Regions
  • 3.7 References
  • 4 The Dual Reciprocity Method for Equations of the Type ?2u = b(x, y, u)
  • 4.1 Introduction
  • 4.2 The Convective Case
  • 4.3 The Helmholtz Equation
  • 4.4 Non-Linear Cases
  • 4.5 Computer Program 3
  • 4.6 Three-Dimensional Analysis
  • 4.7 References
  • 5 The Dual Reciprocity Method for Equations of the Type ?2u = b(x, y, u, t)
  • 5.1 Introduction
  • 5.2 The Diffusion Equation
  • 5.3 Computer Program 4
  • 5.4 Special f Expansions
  • 5.5 The Wave Equation
  • 5.6 The Transient Convection-Diffusion Equation
  • 5.7 Non-Linear Problems
  • 5.8 References
  • 6 Other Fundamental Solutions
  • 6.1 Introduction
  • 6.2 Two-Dimensional Elasticity
  • 6.3 Plate Bending
  • 6.4 Three-Dimensional Elasticity
  • 6.5 Transient Convection-Diffusion
  • 6.6 References
  • 7 Conclusions
  • Appendix 1
  • Appendix 2
  • The Authors.

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