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The Boundary Element Method

ISBN: 978-0-470-84139-6
1066 pages
June 2002
The Boundary Element Method (0470841397) cover image
The boundary element method (BEM) is a modern numerical technique, which has enjoyed increasing popularity over the last two decades, and is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modelling effort.
This two volume book set is designed to provide the readers with a comprehensive and up-to-date account of the boundary element method and its application to solving engineering problems. Each volume is a self-contained book including a substantial amount of material not previously covered by other text books on the subject. Volume 1 covers applications to heat transfer, acoustics, electrochemistry and fluid mechanics problems, while volume 2 concentrates on solids and structures, describing applications to elasticity, plasticity, elastodynamics, fracture mechanics and contact analysis. The early chapters are designed as a teaching text for final year undergraduate courses. Both volumes reflect the experience of the authors over a period of more than twenty years of boundary element research.
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VOLUME 1

Introduction.

Potential Problems

Steady Heat Transfer

Transient Heat Transfer

Acoustics

Electrochemical Problems

Flow of Ideal Fluids

Slow Viscous Flow

General Viscous Flow

Inverse Problems

Numerical Integration

VOLUME 2

Introduction

Elastostatics

Plates and Shells

Thermoelasticity

Elastodynamics

Elastoplasticity

Contact Mechanics

Fracture Mechanics

Sensitivity Analysis and Shape Optimization

Assembled Structures

Numerical Integration

A Complex Stress Functions

B Limiting Process for Boundary Stress Equation

C The Limits and Jump Terms

D Particular Solutions

E Convoluted Fundamental Solutions

F Shape Functions of Brick Cell elements

G Fast Solver
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"...The text is well written and quite thorough..." (Zentralblatt Math, Vol.994, No. 19, 2002)
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