Boundary Element Methods

Author : Stefan A. Sauter,Christoph Schwab
Publisher : Springer Science & Business Media
Page : 575 pages
File Size : 51,5 Mb
Release : 2010-11-01
Category : Mathematics
ISBN : 9783540680932

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Boundary Element Methods by Stefan A. Sauter,Christoph Schwab Pdf

This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in $\mathbb{R}^3$. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way.

Author : John T. Katsikadelis
Publisher : Academic Press
Page : 464 pages
File Size : 52,6 Mb
Release : 2016-10-10
Category : Technology & Engineering
ISBN : 9780128020104

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The Boundary Element Method for Engineers and Scientists by John T. Katsikadelis Pdf

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 : Lothar Gaul,Martin Kögl,Marcus Wagner
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 50,8 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9783662051368

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Boundary Element Methods for Engineers and Scientists by Lothar Gaul,Martin Kögl,Marcus Wagner Pdf

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 : C. A. Brebbia,J. C. F. Telles,L. C. Wrobel
Publisher : Springer Science & Business Media
Page : 479 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642488603

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Boundary Element Techniques by C. A. Brebbia,J. C. F. Telles,L. C. Wrobel Pdf

VI SOCRATES: I think that we ought to stress that we will write only about things that we have first hand experience in, in a coherent way that will be useful to engineers and other scientists and stressing the formulation without being too mathematical. We should write with integrity and honesty, giving reference to other authors where reference is due, but avoiding mentioning everybody just to be certain that our book is widely advertised. Above all, the book should be clear and useful. PLATO: I think we should include a good discussion of fundamental ideas, of how integral equations are formed, pointing out that they are like two dimensional shadows of three dimensional objects, ... SOCRATES: Stop there! Remember you are not 'the' Plato! PLATO: Sorry, I was carried away. ARISTOTLE: I think that the book should have many applications so that the reader can learn by looking at them how to use the method. SOCRATES: I agree. But we should be careful. It is easy to include many illustra tions and examples in a book in order to disguise its meagre contents. All examples should be relevant. ARISTOTLE: And we should also include a full computer program to give the reader if so he wishes, a working experience of the technique.

Author : Prem Kythe,Dongming Wei
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 44,9 Mb
Release : 2011-06-27
Category : Mathematics
ISBN : 9780817681609

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An Introduction to Linear and Nonlinear Finite Element Analysis by Prem Kythe,Dongming Wei Pdf

Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects. The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics. The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.

Author : Joachim Gwinner,Ernst Peter Stephan
Publisher : Springer
Page : 661 pages
File Size : 45,7 Mb
Release : 2018-07-28
Category : Mathematics
ISBN : 9783319920016

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Advanced Boundary Element Methods by Joachim Gwinner,Ernst Peter Stephan Pdf

This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.

Author : Goong Chen
Publisher : Unknown
Page : 680 pages
File Size : 44,9 Mb
Release : 1992
Category : Boundary element methods
ISBN : UOM:39015020880251

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Boundary Element Methods by Goong Chen Pdf

Author : S. Kobayashi,N. Nishimura
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 52,8 Mb
Release : 2013-11-11
Category : Technology & Engineering
ISBN : 9783662061534

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Boundary Element Methods by S. Kobayashi,N. Nishimura Pdf

The Boundary Element Methods (BEM) has become one of the most efficient tools for solving various kinds of problems in engineering science. The International Association for Boundary Element Methods (IABEM) was established in order to promote and facilitate the exchange of scientific ideas related to the theory and applications of boundary element methods. The aim of this symposium is to provide a forum for researchers in boundary element methods and boundary-integral formulations in general to present contemporary concepts and techniques leading to the advancement of capabilities and understanding of this com putational methodology. The topics covered in this symposium include mathematical and computational aspects, applications to solid mechanics, fluid mechanics, acoustics, electromagnetics, heat transfer, optimization, control, inverse problems and other interdisciplinary problems. Papers deal ing with the coupling of the boundary element method with other computational methods are also included. The editors hope that this volume presents some innovative techniques and useful knowl edge for the development of the boundary element methods. February, 1992 S. Kobayashi N. Nishimura Contents Abe, K.

Author : P.W. Partridge,C.A. Brebbia,Wrobel
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401136907

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Dual Reciprocity Boundary Element Method by P.W. Partridge,C.A. Brebbia,Wrobel Pdf

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 : Wrobel,C.A. Brebbia
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401129022

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Boundary Element Methods in Heat Transfer by Wrobel,C.A. Brebbia Pdf

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 : Gernot Beer,Ian Smith,Christian Duenser
Publisher : Springer Science & Business Media
Page : 496 pages
File Size : 55,8 Mb
Release : 2008-09-03
Category : Technology & Engineering
ISBN : 9783211715765

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The Boundary Element Method with Programming by Gernot Beer,Ian Smith,Christian Duenser Pdf

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 : John T. Katsikadelis
Publisher : Elsevier
Page : 345 pages
File Size : 44,8 Mb
Release : 2014-07-16
Category : Mathematics
ISBN : 9780124167445

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The Boundary Element Method for Plate Analysis by John T. Katsikadelis Pdf

Boundary Element Method for Plate Analysis offers one of the first systematic and detailed treatments of the application of BEM to plate analysis and design. Aiming to fill in the knowledge gaps left by contributed volumes on the topic and increase the accessibility of the extensive journal literature covering BEM applied to plates, author John T. Katsikadelis draws heavily on his pioneering work in the field to provide a complete introduction to theory and application. Beginning with a chapter of preliminary mathematical background to make the book a self-contained resource, Katsikadelis moves on to cover the application of BEM to basic thin plate problems and more advanced problems. Each chapter contains several examples described in detail and closes with problems to solve. Presenting the BEM as an efficient computational method for practical plate analysis and design, Boundary Element Method for Plate Analysis is a valuable reference for researchers, students and engineers working with BEM and plate challenges within mechanical, civil, aerospace and marine engineering. One of the first resources dedicated to boundary element analysis of plates, offering a systematic and accessible introductory to theory and application Authored by a leading figure in the field whose pioneering work has led to the development of BEM as an efficient computational method for practical plate analysis and design Includes mathematical background, examples and problems in one self-contained resource

Author : Olaf Steinbach
Publisher : Springer Science & Business Media
Page : 386 pages
File Size : 50,6 Mb
Release : 2007-12-22
Category : Mathematics
ISBN : 9780387688053

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Numerical Approximation Methods for Elliptic Boundary Value Problems by Olaf Steinbach Pdf

This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.

Author : P. K. Banerjee,Prasanta Kumar Banerjee,Roy Butterfield
Publisher : McGraw-Hill (UK)
Page : 476 pages
File Size : 42,7 Mb
Release : 1981
Category : Mathematics
ISBN : UOM:39015003730762

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Boundary Element Methods in Engineering Science by P. K. Banerjee,Prasanta Kumar Banerjee,Roy Butterfield Pdf

Author : Whye-Teong Ang
Publisher : Universal-Publishers
Page : 254 pages
File Size : 54,6 Mb
Release : 2007
Category : Mathematics
ISBN : 9781581129748

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A Beginner's Course in Boundary Element Methods by Whye-Teong Ang Pdf

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.