The Boundary Element Method With Programming

Author : Gernot Beer
Publisher : Springer Science & Business Media
ISBN 13 : 3211715762
Total Pages : 496 pages
Book Rating : 4.65/5 ( download)

DOWNLOAD NOW!

Download or read book The Boundary Element Method with Programming written by Gernot Beer and published by Springer Science & Business Media. This book was released on 2008-09-03 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thorough yet understandable introduction to the boundary element method presents an attractive alternative to the finite element method. It not only explains the theory but also presents the implementation of the theory into computer code, the code in FORTRAN 95 can be freely downloaded. The book also addresses the issue of efficiently using parallel processing hardware in order to considerably speed up the computations for large systems. The applications range from problems of heat and fluid flow to static and dynamic elasto-plastic problems in continuum mechanics.

Author : Gernot Beer
Publisher : Wiley
ISBN 13 : 9780471857228
Total Pages : 472 pages
Book Rating : 4.2X/5 ( download)

DOWNLOAD NOW!

Download or read book Programming the Boundary Element Method written by Gernot Beer and published by Wiley. This book was released on 2001-04-24 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : John T. Katsikadelis
Publisher : Academic Press
ISBN 13 : 0128020105
Total Pages : 464 pages
Book Rating : 4.04/5 ( download)

DOWNLOAD NOW!

Download or read book The Boundary Element Method for Engineers and Scientists written by John T. Katsikadelis and published by Academic Press. This book was released on 2016-10-10 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Mohammed Ameen
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842652015
Total Pages : 540 pages
Book Rating : 4.1X/5 ( download)

DOWNLOAD NOW!

Download or read book Computational Elasticity written by Mohammed Ameen and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mohammed Ameen
Publisher : CRC Press
ISBN 13 : 9780849310010
Total Pages : 288 pages
Book Rating : 4.16/5 ( download)

DOWNLOAD NOW!

Download or read book Boundary Element Analysis written by Mohammed Ameen and published by CRC Press. This book was released on 2001 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Element Analysis: Theory and Programming introduces the theory behind the boundary element method and its computer applications. The author uses Cartesian tensor notation throughout the book and includes the steps involved in deriving many of the equations. The text includes computer programs in Fortran 77 for elastostatic, plate bending, and free and forced vibration problems with detailed descriptions of the code.

Author : Nobuo Morita
Publisher : Elsevier
ISBN 13 : 0128238399
Total Pages : 480 pages
Book Rating : 4.94/5 ( download)

DOWNLOAD NOW!

Download or read book 2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics written by Nobuo Morita and published by Elsevier. This book was released on 2020-11-17 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics, Volume 72, is designed to make it easy for researchers, engineers and students to begin writing boundary element programs. This reference covers the fundamentals, theoretical developments, programming and applications. Both fluid flow through porous media and structural problems are used for coding exercises. Included computer programs may be used as starting codes; after modifications, they can be applied to real world problems. The book covers topics around mesh generation, 3D boundary element coding, and interface coding for controlling mesh generation, and plotting results. Includes interactive 2D and 3D coding exercises that readers can modify based on need Features research on the most recent developments in indirect and dual boundary element methods Contains case studies showing examples and applications of the theories presented in the book

Author : Gernot Beer
Publisher : Springer Nature
ISBN 13 : 3030233391
Total Pages : 335 pages
Book Rating : 4.96/5 ( download)

DOWNLOAD NOW!

Download or read book The Isogeometric Boundary Element Method written by Gernot Beer and published by Springer Nature. This book was released on 2019-09-21 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.

Author : Whye-Teong Ang
Publisher : Universal-Publishers
ISBN 13 : 1581129742
Total Pages : 254 pages
Book Rating : 4.48/5 ( download)

DOWNLOAD NOW!

Download or read book A Beginner's Course in Boundary Element Methods written by Whye-Teong Ang and published by Universal-Publishers. This book was released on 2007 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complicated boundary value problems in engineering and physical sciences. The readers are assumed to have prior basic knowledge of vector calculus (covering topics such as line, surface and volume integrals and the various integral theorems), ordinary and partial differential equations, complex variables, and computer programming. Electronic ebook edition available at Powells.com. Click on Powells logo to the left.

Author : John T. Katsikadelis
Publisher : Elsevier
ISBN 13 : 9780080528243
Total Pages : 448 pages
Book Rating : 4.44/5 ( download)

DOWNLOAD NOW!

Download or read book Boundary Elements: Theory and Applications written by John T. Katsikadelis and published by Elsevier. This book was released on 2002-05-28 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author's ambition for this publication was to make BEM accessible to the student as well as to the professional engineer. For this reason, his main task was to organize and present the material in such a way so that the book becomes "user-friendly" and easy to comprehend, taking into account only the mathematics and mechanics to which students have been exposed during their undergraduate studies. This effort led to an innovative, in many aspects, way of presenting BEM, including the derivation of fundamental solutions, the integral representation of the solutions and the boundary integral equations for various governing differential equations in a simple way minimizing a recourse to mathematics with which the student is not familiar. The indicial and tensorial notations, though they facilitate the author's work and allow to borrow ready to use expressions from the literature, have been avoided in the present book. Nevertheless, all the necessary preliminary mathematical concepts have been included in order to make the book complete and self-sufficient. Throughout the book, every concept is followed by example problems, which have been worked out in detail and with all the necessary clarifications. Furthermore, each chapter of the book is enriched with problems-to-solve. These problems serve a threefold purpose. Some of them are simple and aim at applying and better understanding the presented theory, some others are more difficult and aim at extending the theory to special cases requiring a deeper understanding of the concepts, and others are small projects which serve the purpose of familiarizing the student with BEM programming and the programs contained in the CD-ROM. The latter class of problems is very important as it helps students to comprehend the usefulness and effectiveness of the method by solving real-life engineering problems. Through these problems students realize that the BEM is a powerful computational tool and not an alternative theoretical approach for dealing with physical problems. My experience in teaching BEM shows that this is the students' most favorite type of problems. They are delighted to solve them, since they integrate their knowledge and make them feel confident in mastering BEM. The CD-ROM which accompanies the book contains the source codes of all the computer programs developed in the book, so that the student or the engineer can use them for the solution of a broad class of problems. Among them are general potential problems, problems of torsion, thermal conductivity, deflection of membranes and plates, flow of incompressible fluids, flow through porous media, in isotropic or anisotropic, homogeneous or composite bodies, as well as plane elastostatic problems in simply or multiply connected domains. As one can readily find out from the variety of the applications, the book is useful for engineers of all disciplines. The author is hopeful that the present book will introduce the reader to BEM in an easy, smooth and pleasant way and also contribute to its dissemination as a modern robust computational tool for solving engineering problems.

Author : W.S. Hall
Publisher : Springer Science & Business Media
ISBN 13 : 940110784X
Total Pages : 234 pages
Book Rating : 4.46/5 ( download)

DOWNLOAD NOW!

Download or read book The Boundary Element Method written by W.S. Hall and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method is a simple, efficient and cost effective computational technique which provides numerical solutions - for objects of any shap- for a wide range of scientific and engineering problems. In dealing with the development of the mathematics of the Boundary Element Method the aim has been at every stage, only to present new material when sufficient experience and practice of simpler material has been gained. Since the usual background of many readers will be of differential equations, the connection of differential equations with integral equations is explained in Chapter 1, together with analytical and numerical methods of solution. This information on integral equations provides a base for the work of subsequent chapters. The mathematical formulation of boundary integral equations for potential problems - derived from the more familiar Laplace partial differential equation which governs many important physical problems - is set out in Chapter 2. It should be noted here that this initial formulation of the boundary integral equations reduces the dimensionality of the problem. In the key Chapter 3, the essentials of the Boundary Element Method are presented. This first presentation of the Boundary Element Method is in its simplest and most approachable form - two dimensional, with the shape of the boundary approximated by straight lines and the functions approximated by constants over each of the straight lines.