Programming the Boundary Element Method: An Introduction for Engineers

Book Description

Providing an easy introduction to the boundary element method, this book is ideal for any reader wishing to work in this field or use this method for the solution of engineering problems. From the beginning, the emphasis is on the implementation of the method into computer programs which can be used to solve real problems. The book covers two-andthree-dimensional linear and non-linear analysis in potential flow (heat flow and seepage) and static elasticity. Several computer programs are listed in the book and may be downloaded free of charge via the Internet. They include programs and subroutines for:
* 2-D analysis of potential problems using the Trefftz method
* 2-D and 3-D linear analysis of potential and static elasticity problems using isoparametric elements (single and multiple regions)
* implementation of non-linear problems
* coupling to finite elements
The programs (written in FORTRAN 90) are well documented, and can be employed by the user to gain experience with the method through the solution of small test examples. Furthermore, readers may use them as a starting point for developing their own boundary element package. In addition, exercises are included in most chapters involving the use of the programs with answers given in an Appendix, and a number of interesting industrial applications in the areas of mechanical, civil and geotechnical engineering are presented.

Customer Reviews:

Good for student and practitioner.......2001-06-27

I am a grduate student. My specific research area is BEM. and I programmed my own c++ code.

If I could get this book earlier, I could have saved a lot of time. By reading this book, reader can find not only detailed information for coding but also clear understanding about BEM.

The impressive points to me are 1) working 2D/3D potential and stress solvable code-there is multi-region version too, excellent explaining about 2)Corner problem, 3)assembly procedure (especially for multi-region problem), 4) programming frieldly math notations, 5) good logical flow of chapters.

The only problem I found is few mistypings. But, it does not prevent me to understand the material.

For engineers in industry, I think they can use the code to solve engineering problem with some modification if they don't have expensive commercial FE package, or use the code to solve linear problems quickly, etc.

Book Description

Directed towards students without in-depth mathematical training, this text cultivates comprehensive skills in linear static and dynamic finite element methodology. Included are a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories derived directly from three-dimensional elasticity theory. Solution guide available upon request.

Customer Reviews:

Don't buy it.......2006-07-06

I wanted a complete book in FEA to start learning about it. I expected this book to be clear, practical, complete, with a good amount of practical examples showing how to use the theory, that is complex by itself. I also wanted some sort of reference to a computer program so that I could start using to simplify my life. I work at a Company and I don't have too much time. This book is not for me. I

Great Book in Finite Element Analysis.......2006-04-05

This book was written in a simple but mathematical language. It is not intended for first timers and/or for people without a good support in mathematics.
Good for stablishing routines and procedures if you are willing to create your own brand new program. But also good if you are willing to use the routine that the authors wrote. You can find them at: http://www.zace.com/afdlearn.html

Have a good time reading and working with Finite Elements as I am doing.

The Finite Element Method : Linear Static and Dynamic Finite Element Analysis.......2005-08-02

The service is excellent, the price of the book is according to the product, the content is good. I live in Chihuahua, Mexico and I am very satisfied.

An excellent book on FEM for graduates or professionals.......2004-05-04

The Finite Element Methodology though conceptually simple (eat the elephant by chopping it up into mouthfuls), becomes somewhat involved when applied, because the of tricks used to get solutions, after all you still may have to solve 100,000 PDEs to get your approximate solution to an otherwise intractable problem. So in its own way FEM can become a bit of a pachyderm itself.

This book is very good, but be aware that this book is aimed at graduate physical-science/engineering students. This means that you know how to solve basic second order differential equations and understand how to perform path integrals for example.

This book is aimed at people who would like to be able to write their own FEM solver. If you are looking to gain some backgrounding in how to construct finite element models using a program to solve problems, this book is probably much more than you need. You might want to try the "Schaum's Outline of Finite Element Analysis" if this is your objective.

DLearn is available from the www.zace.com/dlearn.htm or by typing
"Dlearn program"
into google and following the link.

Response to Sylmar, CA reviewer.......2004-01-29

The reviewer who said that the software is not available from the ZACE website is incorrect. Go to www.zace.com and click on "Home Page." There you will be able to download DLEARN for free in addition to a
C++ finite element code.

Boundary Element Methods For Electrical Engineers (Advances in Electrical Engineering and Electromagnetics)

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Boundary Element Methods For Electrical Engineers (Advances in Electrical Engineering and Electromagnetics)
D. Poljak , and C. A. Brebbia
Manufacturer: WIT Press (UK)
ProductGroup: Book
Binding: Hardcover

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ASIN: 1845640330

Book Description

In the last couple of decades the Boundary Element Method (BEM) has become a well-established technique that is widely used for solving various problems in electrical engineering and electromagnetics. Although there are many excellent research papers published in the relevant literature that describe various BEM applications in electrical engineering and electromagnetics, there has been a lack of suitable textbooks and monographs on the subject. This book presents BEM in a simple fashion in order to help the beginner to understand the very basic principles of the method. It initially derives BEM for the simplest potential problems and subsequently builds on these to formulate BEM for a wide range of applications in electromagnetics. The book aims to introduce both undergraduate and graduate students to the BEM fundamentals in a way that enables the reader to solve more complex problems on their own. In addition, it will serve as a useful text to enable professional engineers and research students to make full use of BEM in electrical engineering.

The Boundary Element Method, The Boundary Element Method

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The Boundary Element Method, The Boundary Element Method
L. C. Wrobel , and M. H. Aliabadi
Manufacturer: Wiley
ProductGroup: Book
Binding: Hardcover

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ASIN: 0470841397

Book Description

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.

Linear Partial Differential Equations for Scientists and Engineers

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Aimed at the Person who needs to do Real Work

Linear Partial Differential Equations for Scientists and Engineers
Tyn Myint-U , and Lokenath Debnath
Manufacturer: Birkhäuser Boston
ProductGroup: Book
Binding: Hardcover

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ASIN: 0817643931

Book Description

One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, including fluid dynamics, elasticity, and optics.

This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books, including conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method, fractional partial differential equations, and nonlinear partial differential equations with applications.

Key features include:

* Applications to a wide variety of physical problems in numerous interdisciplinary areas

* Over 900 worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry

* Historical comments on partial differential equations

* Solutions and hints to selected exercises

* A comprehensive bibliography—comprised of many standard texts and reference books, as well as a set of selected classic and recent papers—for readers interested in learning more about the modern treatment of the subject

Linear Partial Differential Equations for Scientists and Engineers, Fourth Edition will primarily serve as a textbook for the first two courses in PDEs, or in a course on advanced engineering mathematics. The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering. Readers will gain a solid mathematical background in PDEs, sufficient to start interdisciplinary collaborative research in a variety of fields.

Also by L. Debnath: Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition, ISBN 0-8176-4323-0.

Customer Reviews:

Aimed at the Person who needs to do Real Work.......2007-04-05

Partial Differential equations are really the first time that the science or entineering student begins to see that math can really represent real life situations that are more complex than the almost trivial examples he has studied up until now.

This book, now in its fourth edition reflects comments made by users: students, faculty and researchers as well as covering the major new discoveries of methods for the solution of partial differential equations in the years since the last edition. The book is aimed at the advanced undergraduate or beginning graduate student, and it should be useful as a research reference for professionals in mathematics, science, engineering and the other applied sciences. In addition other fields of study from the social sciented to financial analysis have begin to use more advanced mathematics in their calculations.

The intent in this book is to provide the working physicist/engineer or whatever with the tools he needs to perform his work. In a few places this has meant a slight slacking of the rigor normally required by the pure mathematician in favor of producing solutions that give the user the answers he needs.

The Mathematical Theory of Finite Element Methods

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A book for experienced people only.
a nice introductory book

The Mathematical Theory of Finite Element Methods
Susanne C. Brenner , and L. Ridgway Scott
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387954511

Book Description

This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. This expanded second edition contains new chapters on additive Schwarz preconditioners and adaptive meshes. New exercises have also been added throughout. The book will be useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. Different course paths can be chosen, allowing the book to be used for courses designed for students with different interests.

Customer Reviews:

A book for experienced people only........2006-12-20

This book certainly has a lot of information in it, but it is not lucid at all. This book is a hard read. The presentation is not done very well, and a lot of details get put off to the literature. I would actually recommend the FEM book by Braess instead. Only use this book as a reference.

a nice introductory book.......2000-04-06

This book is a very nice introductory book on the subject. It has a very nice presentation of the fundamental issues on finite element theory, such as interpolation theory on Sobolev spaces and variational formulations of elliptic problems. Also, it covers some advanced and more specific subjets such as multigrid methods and mixed methods for fluid mechanics, where it reviews some of the most used techniques to solve the saddle-point problems such as Augmented Lagrangian techniques and penalty methods.

Also, at the end of the book there is a very well written chapter focused on Interpolation operators, where there is a very nice (and very easy to read) presentation of the Sccot-Zhang interpolation operator, and some of the principal results on approximation.

Book Description

The book presents variational methods combined with boundary integral equation techniques in application to a model of dynamic bending of plates with transverse shear deformation. The emphasis is on the rigorous mathematical investigation of the model, which covers a complete study of the well-posedness of a number of initial-boundary value problems, their reduction to time-dependent boundary integral equations by means of suitable potential representations, and the solution of the latter in Sobolev spaces. The analysis, performed in spaces of distributions, is applicable to a wide variety of data with less smoothness than that required in the corresponding classical problems, and is very useful for constructing error estimates in numerical computations. This illustrative model was chosen because of its practical importance and some unusual mathematical features, but the solution technique can easily be adapted to many other hyperbolic systems of partial differential equations arising in continuum mechanics.

Direct and Indirect Boundary Integral Equation Methods (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics)

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Direct and Indirect Boundary Integral Equation Methods (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics)
Christian Constanda
Manufacturer: Chapman & Hall/CRC
ProductGroup: Book
Binding: Hardcover

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Book Description

The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques. In relatively simple terms, this book describes a class of techniques that fulfill this need by providing closed-form solutions to many boundary value problems that arise in science and engineering. Boundary integral equation methods (BIEM's) have certain advantages over other procedures for solving such problems: BIEM's are powerful, applicable to a wide variety of situations, elegant, and ideal for numerical treatment. Certain fundamental constructs in BIEM's are also essential ingredients in boundary element methods, often used by scientists and engineers.However, BIEM's are also sometimes more difficult to use in plane cases than in their three-dimensional counterparts. Consequently, the full, detailed BIEM treatment of two-dimensional problems has been largely neglected in the literature-even when it is more than marginally different from that applied to the corresponding three-dimensional versions.This volume discusses three typical cases where such differences are clear: the Laplace equation (one unknown function), plane strain (two unknown functions), and the bending of plates with transverse shear deformation (three unknown functions). The author considers each of these with Dirichlet, Neumann, and Robin boundary conditions. He subjects each to a thorough investigation-with respect to the existence and uniqueness of regular solutions-through several BIEM's. He proposes suitable generalizations of the concept of logarithmic capacity for plane strain and bending of plates, then uses these to identify contours where non-uniqueness may occur. In the final section, the author compares and contrasts the various solution representations, links them by means of boundary operators, and evaluates them for their suitability for numeric computation.

Strongly Elliptic Systems and Boundary Integral Equations

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Strongly Elliptic Systems and Boundary Integral Equations
William McLean
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0521663326

Book Description

Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. William McLean provides the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book affords an ideal background for studying the modern research literature on boundary element methods.

The Boundary Element Method : Applications in Solids and Structures

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The Boundary Element Method : Applications in Solids and Structures
Ferri Aliabadi
Manufacturer: Wiley
ProductGroup: Book
Binding: Hardcover

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ASIN: 0470842989

Book Description

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.

This volume, Applications in Solids and Structures, provides a comprehensive presentation of the BEM from fundamentals to advanced engineering applications and encompasses:

· Elasticity for 2D, 3D and Plates and Shells
· Non-linear, Transient and Thermal Stress Analysis
· Crack Growth and Multi-body Contact Mechanics
· Sensitivity Analysis and Optimisation
· Analysis of Assembled Structures.

An important feature of this book is the in-depth presentation of BEM formulations in all the above fields, including detailed discussions of the basic theory, numerical algorithms and where possible simple examples are included, as well as test results for practical engineering applications of the method. Although most of the methods presented are the latest developments in the field, the author has included some simple techniques, which are helpful in understanding the computer implementation of BEM.
Another notable feature is the comprehensive presentation of a new generation of boundary elements known as the Dual Boundary Element Method.

Written by an internationally recognised authority in the field, this is essential reading for postgraduates, researchers and practitioners in Aerospace, Mechanical and Civil Engineering and Applied Mathematics.

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