Author: Akpofure E. Taigbenu
Publisher: Springer Science & Business Media
ISBN: 1475767382
Category : Science
Languages : en
Pages : 364
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Book Description
Most texts on computational methods are borne out of research activities at postgraduate study programs, and this is no exception. After being introduced to the boundary element method (BEM) (then referred to as the boundary integral equation method (BIEM)) in 1981 by Prof. Jim Liggett of Cornell University, a number of graduate students and myself under his supervision took active interest in the development of the theory and its application to a wide range of engineering problems. We certainly achieved some amount of success. A personal desire to have a deeper understanding and appreciation of computational methods prompted one to take related courses in fmite deference method, and to undertake a self-instructed study of variational and fmite element methods. These exposures were not only quite instructive but fruitful, and may have provided the motivation for the current research on the Green element method (GEM) - a name coined by Prof. Liggett in 1987 during my visit as Professor to the School of Civil & Environmental Engineering, Cornell University. The main objectives of this text are to serve as an instructional material to senior undergraduate and first year graduate students undertaking a course in computational methods, and as a resource material for research scientists, applied mathematicians, numerical analysts, and engineers who may wish to take these ideas to other frontiers and applications.
Author: Akpofure E. Taigbenu
Publisher: Springer Science & Business Media
ISBN: 9780792385103
Category : Language Arts & Disciplines
Languages : en
Pages : 384
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Book Description
The Green element method (GEM) is a novel approach of implementing in an element-by-element fashion the singular boundary integral theory, thereby enhancing the capabilities of the theory in terms of ease in solving nonlinear problems, adapting to heterogeneous problems, and achieving spareness in the global coefficient matrix. By proceeding in this manner, GEM provides solutions to linear, nonlinear, steady and transient engineering problems in one- and two-dimensional domains, some of which hitherto could not be handled by the boundary integral theory. The primary motivation for the Green element method, therefore, lies in the enhancement of the computational capabilities that it has given to the boundary element theory. The main objectives of this text are to serve as an instructional material to senior undergraduate and first-year graduate students undertaking a course in computational methods and their applications to engineering problems, and as a resource material for research scientists, applied mathematicians, numerical analysts, and engineers who may wish to take these ideas to new frontiers and applications. To enhance the feel for the method, exercises are presented at the end of some of the chapters, and sample data can be run with the executable program GEMLN1D that can be accessed either at: www.nust.ac.zw/aetaigbenu/gem/GEMLN1D or: www.lafetech.com/gem/GEMLN1D.
Author: John T. Katsikadelis
Publisher: Academic Press
ISBN: 0128020105
Category : Technology & Engineering
Languages : en
Pages : 466
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Book Description
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: Qing-Hua Qin
Publisher: Elsevier
ISBN: 0080478069
Category : Technology & Engineering
Languages : en
Pages : 267
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Book Description
Green's Function and Boundary Elements of Multifield Materials contains a comprehensive treatment of multifield materials under coupled thermal, magnetic, electric, and mechanical loads. Its easy-to-understand text clarifies some of the most advanced techniques for deriving Green's function and the related boundary element formulation of magnetoelectroelastic materials: Radon transform, potential function approach, Fourier transform. Our hope in preparing this book is to attract interested readers and researchers to a new field that continues to provide fascinating and technologically important challenges. You will benefit from the authors' thorough coverage of general principles for each topic, followed by detailed mathematical derivation and worked examples as well as tables and figures where appropriate. - In-depth explanations of the concept of Green's function - Coupled thermo-magneto-electro-elastic analysis - Detailed mathematical derivation for Green's functions
Author: Akpofure Taigbenu
Publisher: Springer
ISBN: 9781475767391
Category : Science
Languages : en
Pages : 354
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Book Description
Most texts on computational methods are borne out of research activities at postgraduate study programs, and this is no exception. After being introduced to the boundary element method (BEM) (then referred to as the boundary integral equation method (BIEM)) in 1981 by Prof. Jim Liggett of Cornell University, a number of graduate students and myself under his supervision took active interest in the development of the theory and its application to a wide range of engineering problems. We certainly achieved some amount of success. A personal desire to have a deeper understanding and appreciation of computational methods prompted one to take related courses in fmite deference method, and to undertake a self-instructed study of variational and fmite element methods. These exposures were not only quite instructive but fruitful, and may have provided the motivation for the current research on the Green element method (GEM) - a name coined by Prof. Liggett in 1987 during my visit as Professor to the School of Civil & Environmental Engineering, Cornell University. The main objectives of this text are to serve as an instructional material to senior undergraduate and first year graduate students undertaking a course in computational methods, and as a resource material for research scientists, applied mathematicians, numerical analysts, and engineers who may wish to take these ideas to other frontiers and applications.
Author: John T. Katsikadelis
Publisher: Elsevier
ISBN: 0124167446
Category : Mathematics
Languages : en
Pages : 345
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Book Description
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: Whye-Teong Ang
Publisher: Universal-Publishers
ISBN: 1581129742
Category : Mathematics
Languages : en
Pages : 254
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Book Description
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: P.G. Ciarlet
Publisher: Elsevier
ISBN: 0080875254
Category : Mathematics
Languages : en
Pages : 551
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Book Description
The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author's experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on "Additional Bibliography and Comments should provide many suggestions for conducting seminars.
Author: George Manolis
Publisher: Springer Science & Business Media
ISBN: 1402097107
Category : Technology & Engineering
Languages : en
Pages : 467
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Book Description
This volume, dedicated to Professor Dimitri Beskos, contains contributions from leading researchers in Europe, the USA, Japan and elsewhere, and addresses the needs of the computational mechanics research community in terms of timely information on boundary integral equation-based methods and techniques applied to a variety of fields. The contributors are well-known scientists, who also happen to be friends, collaborators as past students of Dimitri Beskos. Dimitri is one the BEM pioneers who started his career at the University of Minnesota in Minneapolis, USA, in the 1970s and is now with the University of Patras in Patras, Greece. The book is essentially a collection of both original and review articles on contemporary Boundary Element Methods (BEM) as well as on the newer Mesh Reduction Methods (MRM), covering a variety of research topics. Close to forty contributions compose an over-500 page volume that is rich in detail and wide in terms of breadth of coverage of the subject of integral equation formulations and solutions in both solid and fluid mechanics.
Author: C. Pozrikidis
Publisher: CRC Press
ISBN: 1420035258
Category : Mathematics
Languages : en
Pages : 438
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Book Description
The boundary-element method is a powerful numerical technique for solving partial differential equations encountered in applied mathematics, science, and engineering. The strength of the method derives from its ability to solve with notable efficiency problems in domains with complex and possibly evolving geometry where traditional methods can be d
