The Multiple Reciprocity Boundary Element Method PDF Download
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Author | : A. J. Nowak |
Publisher | : WIT Press (UK) |
Total Pages | : 264 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : |
Download The Multiple Reciprocity Boundary Element Method Book in PDF, ePub and Kindle
The success of the method is reflected in the works carried out by several active groups around the world and presented here in the chapters of the book.
Author | : P.W. Partridge |
Publisher | : Springer Science & Business Media |
Total Pages | : 296 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 9401136904 |
Download Dual Reciprocity Boundary Element Method Book in PDF, ePub and Kindle
The boundary element method (BEM) is now a well-established numerical technique which provides an efficient alternative to the prevailing finite difference and finite element methods for the solution of a wide range of engineering problems. The main advantage of the BEM is its unique ability to provide a complete problem solution in terms of boundary values only, with substantial savings in computer time and data preparation effort. An initial restriction of the BEM was that the fundamental solution to the original partial differential equation was required in order to obtain an equivalent boundary in tegral equation. Another was that non-homogeneous terms accounting for effects such as distributed loads were included in the formulation by means of domain integrals, thus making the technique lose the attraction of its "boundary-only" character. Many different approaches have been developed to overcome these problems. It is our opinion that the most successful so far is the dual reciprocity method (DRM), which is the subject matter of this book. The basic idea behind this approach is to employ a fundamental solution corresponding to a simpler equation and to treat the remaining terms, as well as other non-homogeneous terms in the original equation, through a procedure which involves a series expansion using global approximating functions and the application of reciprocity principles.
Author | : P. W. Partridge |
Publisher | : |
Total Pages | : 304 |
Release | : 1991-12-31 |
Genre | : |
ISBN | : 9789401136914 |
Download Dual Reciprocity Boundary Element Method Book in PDF, ePub and Kindle
Author | : Paul William Partridge |
Publisher | : Computational Mechanics |
Total Pages | : 276 |
Release | : 1992 |
Genre | : Technology & Engineering |
ISBN | : 9780945824824 |
Download The Dual Reciprocity Boundary Element Method Book in PDF, ePub and Kindle
Author | : Wrobel |
Publisher | : Springer Science & Business Media |
Total Pages | : 303 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9401129029 |
Download Boundary Element Methods in Heat Transfer Book in PDF, ePub and Kindle
Heat transfer problems in industry are usually of a very complex nature, simultaneously involving different transfer modes such as conduction, convection, radiation and others. Because of this, very few problems can be solved analytically and one generally has to resort to numerical analysis. The boundary element method is a numerical technique which has been receiving growing attention for solving heat transfer problems because of its unique ability to confine the discretization process to the boundaries of the problem region. This allows major reductions in the data preparation and computer effort necessary to solve complex industrial problems. The purpose of this book is to present efficient algorithms used in conjunction with the boundary element method for the solution of steady and transient, linear and non-linear heat transfer problems. It represents the state-of-the-art of boundary element applications in the field of heat transfer, and constitutes essential reading for researchers and practising engineers involved with this important topic.
Author | : Lothar Gaul |
Publisher | : Springer Science & Business Media |
Total Pages | : 491 |
Release | : 2013-06-29 |
Genre | : Technology & Engineering |
ISBN | : 3662051362 |
Download Boundary Element Methods for Engineers and Scientists Book in PDF, ePub and Kindle
Over the past decades, the Boundary Element Method has emerged as a ver satile and powerful tool for the solution of engineering problems, presenting in many cases an alternative to the more widely used Finite Element Method. As with any numerical method, the engineer or scientist who applies it to a practical problem needs to be acquainted with, and understand, its basic principles to be able to apply it correctly and be aware of its limitations. It is with this intention that we have endeavoured to write this book: to give the student or practitioner an easy-to-understand introductory course to the method so as to enable him or her to apply it judiciously. As the title suggests, this book not only serves as an introductory course, but also cov ers some advanced topics that we consider important for the researcher who needs to be up-to-date with new developments. This book is the result of our teaching experiences with the Boundary Element Method, along with research and consulting activities carried out in the field. Its roots lie in a graduate course on the Boundary Element Method given by the authors at the university of Stuttgart. The experiences gained from teaching and the remarks and questions of the students have contributed to shaping the 'Introductory course' (Chapters 1-8) to the needs of the stu dents without assuming a background in numerical methods in general or the Boundary Element Method in particular.
Author | : Yinglong Zhang |
Publisher | : |
Total Pages | : 162 |
Release | : 1993 |
Genre | : Boundary element methods |
ISBN | : |
Download On the Dual Reciprocity Boundary Element Method Book in PDF, ePub and Kindle
Author | : John T. Katsikadelis |
Publisher | : Academic Press |
Total Pages | : 466 |
Release | : 2016-10-10 |
Genre | : Technology & Engineering |
ISBN | : 0128020105 |
Download The Boundary Element Method for Engineers and Scientists Book in PDF, ePub and Kindle
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 | : Prem K. Kythe |
Publisher | : CRC Press |
Total Pages | : 390 |
Release | : 2020-11-25 |
Genre | : Mathematics |
ISBN | : 1000142086 |
Download An Introduction to Boundary Element Methods Book in PDF, ePub and Kindle
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.
Author | : Wattana Toutip |
Publisher | : |
Total Pages | : |
Release | : 2001 |
Genre | : |
ISBN | : |
Download The Dual Reciprocity Boundary Element Method for Linear and Non-linear Problems Book in PDF, ePub and Kindle