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

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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Accessories:

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.

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.

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.

Book Description

This book focuses on the analysis of manufacturing processes and the integration of this analysis into the design cycle. Uniquely, the boundary element method (BEM) is the computational model of choice. This versatile and powerful method has undergone extensive development during the past two decades and has been applied to virtually all areas of engineering mechanics as well as to other fields. Among topics covered are BEM infrastructure, design sensitivity analysis, and detailed discussions of a broad range of manufacturing processes including forming, solidification, machining, and ceramic grinding.

Boundary Element Methods for Engineers and Scientists

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Boundary Element Methods for Engineers and Scientists
Lothar Gaul , Martin Kögl , and Marcus Wagner
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 3540004637

Book Description

This introductory course on the classical Boundary Element Method also contains advanced topics such as the Dual Reciprocity and the Hybrid Boundary Element Methods. The latter methods are extensions that permit the application of BME to anisotropic materials, as well as multi-field problems and fluid-structure interaction. The class-tested textbook offers a clear and easy-to-understand introduction to the subject, including worked-out examples that describe all the basic features of the method. The first two chapters not only establish the mathematical basis for BEM but also review the basics of continuum mechanics for field problems, perhaps a unique feature for a text on numerical methods. This helps the reader to understand the physical principles of the field problems, to apply the method judiciously, and toe critically evaluate the results.

Approximate Boundary Conditions in Electromagnetics (Ieee Electromagnetic Waves Series)

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Approximate Boundary Conditions in Electromagnetics (Ieee Electromagnetic Waves Series)
T. B. A. Senior , and John L. Volakis
Manufacturer: Institution of Electrical Engineers
ProductGroup: Book
Binding: Hardcover

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ASIN: 0852968493

An Introduction to Boundary Element Methods (Symbolic and Numeric Computation)

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Not quite a text book--maybe a reference

An Introduction to Boundary Element Methods (Symbolic and Numeric Computation)
Prem K. Kythe
Manufacturer: CRC
ProductGroup: Book
Binding: Hardcover

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ASIN: 0849373778

Book Description

The finite element and the boundary element methods are the two most important developments in numerical mathematics to occur in this century. Many engineering and mathematics graduate curricula now include a course in boundary element methods. Such a course must cover numerical methods, basic methodology to real problems, and interactive computer usage. Both theory and applications, necessary for applied courses, are available in this new textbook. An Introduction to Boundary Element Methods is logically organized and easy to read. The topics are carefully selected and meticulously presented. Applications are described for use in identifying potential problems and for heat transfer, diffusion equations, linear elasticity, water waves, ocean acoustics, acoustic scattering, aerodynamics, porous media, and simple laminar flows. More than 20 computer subroutines help develop and explain the computational aspect of the subject. Hundreds of figures, exercises, and solved examples supplement text and help clarify important information. The computer programs have been tested on some benchmark problems. Even in single precision the results are more accurate and better than those obtained from available Fortran programs.

Customer Reviews:

Not quite a text book--maybe a reference.......2001-01-05

The book was, in my opinion, not the most helpful introduction to the subject. The book is full of equations--it really is a masterpiece when one wants to "read" a book that will impress people around who know nothing about math(like the hot girl/guy in the seat next to you, who is looking over your shoulder ;-)). The unfortunate part is that the author does not really explain anything he is doing. The book does not give any real details or in depth explanations--just formula after formula. I can follow the formulas--that is not the problem--but the lack of statements introducing the methods, explaining the concepts, and leading the reader to understand the material on an all new level is lacking in my opinion. I like to understand the "why" and the "how" of the physical/application side--not just the mathematical formulas(although--if one works through the math, one will eventually figure something out). I was a little disappointed in the book. There are also multiple annoying typos, and spelling mistakes. In summary--the author is a smart guy--he knows the subject--unfortunately, he seems to have forgotten the hardships he had when learning the method. The book should be advertised as a "compliment reference" to a course where a prof would explain the method and ideas--not a great book to pick off the shelf and try to learn BEM by oneself!

Finite Element and Boundary Element Applications in Quantum Mechanics (Oxford Texts in Applied and Engineering Mathematics)

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Finite Element and Boundary Element Applications in Quantum Mechanics (Oxford Texts in Applied and Engineering Mathematics)
Ramdas Ram-Mohan
Manufacturer: Oxford University Press, USA
ProductGroup: Book
Binding: Paperback

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ASIN: 0198525222

Book Description

This book introduces the finite element and boundary element methods (FEM and BEM) for applications to quantum mechanical systems. A discretization of the action integral with finite elements, followed by application of variational principles, brings a very general approach to the solution of Schroedinger's equation for physical systems in arbitrary geometries with complex mixed boundary conditions. The variational approach is a common thread through the book and is used for the improvement of solutions to spectroscopic accuracy, to adaptively improve finite element meshs, to develop a time-dependent theory, and also to generate the solution of large sparse matrix eigenvalue problems. A thorough introduction to BEM is given using the modelling of surface plasmons, quantum electron waveguides, and quantum scattering as illustrative examples. The book should be useful to graduate students and researchers in basic quantum theory, quantum semiconductor modeling, computational physics, mathematics and chemistry

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