Overview

Providing a unified introduction to the underlying ideas of the Boundary Element Method (BEM), this book places emphasis on the principles of the method rather than its numerical implementation. Mathematics, when used, is explained in context while mathematical details that might otherwise obscure the text are contained in appendices. The author includes many worked examples to reinforce understanding while, to aid practice, trial problems are also given in each chapter. Another important feature is the algorithmic approach to the derivation of the governing equations which enables readers new to the BEM to make more rapid progress. Primarily aimed at undergraduates in applied sciences, their teachers, and other newcomers to the subject including practicing engineers, the book provides an ideal grounding for more advanced and specialized work in the BEM.

Full Product Details

Author:   D. J. Cartwright
Publisher:   WIT Press
Imprint:   WIT Press
ISBN:  

9781853128394

ISBN 10:   1853128392
Pages:   300
Publication Date:   01 May 2001
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Chapter 1 Field Equations: Introduction; One-dimensional Fields; Second Order Field Equation; Second Order Field Equation: general form;Fourth Order Field Equation; Field Equations for Multi-dimensional fields; Scalar fields; Vector fields; Concluding Remarks. Chapter 2 Greens Functions: Introduction; Definition; Prop erties of Green's functions; Examples of Green's functions; The displacement of a stationary thin, light, uniform rod; Green's functions for the deflection of a uniform thin beam; Determination of Green's functions: second order one -dimensional fields; Determination of Green's functions: general form of the one-dimensional second order field equation; Use of Green's functions; Concluding Remarks; Problems. Chapter 3 Fundamental Solutions: Introduction; Green's functions: one-dimensional second order field equation; Fundamental solutions: one-dimensional second order field equation; Comparison of the Fundamental solutions with the Green's Function; Green's Functions: one-dimensional fourth order field equation; Fundamental solutions: one-dimensional fourth order field equation; Comparison of the fundamental solutions for a thin beam; Fundamental solutions for multi-dimensional fields; Concluding Remarks; Problems. Chapter 4 Method of Weighted Residuals: Introduction; Method of Weighted Residuals; One-dimensional second order field equation; Trial Solutions; Application of the Method of weighted residuals; Alternative forms for the weighted residual statement; Comparison of results for the numerical methods; Summary of weighting factors; Concluding remarks; Problems. Chapter 5 One-dimensional Fields: Introduction; Field Equa Equation; Internal point equation; Boundary Equations; Concluding ing Remarks; Problems. Chapter 6 Potential Fields: Introduction; Field Equation; Internal Point Equation; Boundary Equations; Boundary Element Equations; Determination of Boundary Integrals; Application of the Boundary Equations; Concluding Remarks; Problems. Chapter 7 Elasto-static fields: Introduction; Field Equation; Internal Point Equation; Boundary Equations; Boundary Element Equations; Determination of the Boundary Integrals; Applications of the Boundary Equations; Concluding Remarks; Problems.

Reviews

.. .very well written...The author has certainly succeeded in fulfilling his stated aim of providing an introductory textbook emphasizing the underlying principles of the BEM. [This book] should be purchased by teachers, undergraduate and graduate students, researchers who would like to start working in the field, and certainly by libraries.

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