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The Boundary Element Method for Engineers and Scientists. Theory and Applications

✍ Scribed by John T. Katsikadelis


Publisher
Academic Press
Year
2016
Tongue
English
Leaves
445
Edition
2
Category
Library

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✦ Synopsis


The Boundary Element Method for Engineers and Scientists: Theory and Applications is a detailed introduction to the principles and use of boundary element method (BEM), enabling this versatile and powerful computational tool to be employed for engineering analysis and design.

In this book, Dr. Katsikadelis presents the underlying principles and explains how the BEM equations are formed and numerically solved using only the mathematics and mechanics to which readers will have been exposed during undergraduate studies. All concepts are illustrated with worked examples and problems, helping to put theory into practice and to familiarize the reader with BEM programming through the use of code and programs listed in the book and also available in electronic form on the book’s companion website.

  • Offers an accessible guide to BEM principles and numerical implementation, with worked examples and detailed discussion of practical applications
  • This second edition features three new chapters, including coverage of the dual reciprocity method (DRM) and analog equation method (AEM), with their application to complicated problems, including time dependent and non-linear problems, as well as problems described by fractional differential equations
  • Companion website includes source code of all computer programs developed in the book for the solution of a broad range of real-life engineering problems

✦ Table of Contents


Content:
Front-matter,Copyright,Dedication,Preface to the Second Edition,Preface to the First EditionEntitled to full textChapter One - Introduction, Pages 1-12
Chapter Two - Preliminary Mathematical Knowledge, Pages 13-33
Chapter Three - The BEM for Potential Problems in Two Dimensions, Pages 35-57
Chapter Four - Numerical Implementation of the BEM, Pages 59-112
Chapter Five - Boundary Element Technology, Pages 113-149
Chapter Six - Applications, Pages 151-207
Chapter Seven - The BEM for Two-Dimensional Elastostatic Problems, Pages 209-287
Chapter Eight - The BEM for Potential Problems in Inhomogeneous Anisotropic Bodies, Pages 289-345
Chapter Nine - The BEM for Time Dependent Problems, Pages 347-371
Chapter Ten - The BEM for Nonlinear Problems, Pages 373-395
Appendix A - Derivatives of r, Pages 397-401
Appendix B - Gauss Integration, Pages 403-421
Appendix C - Answers to Selected Problems, Pages 423-433
Index, Pages 435-446

✦ Subjects


Boundary element methods;MATHEMATICS;Calculus;MATHEMATICS;Mathematical Analysis


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