Advances In The Complex Variable Boundary Element Method
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Advances In The Complex Variable Boundary Element Method
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Author : Theodore V. Hromadka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Advances In The Complex Variable Boundary Element Method written by Theodore V. Hromadka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Technology & Engineering categories.
Since its inception by Hromadka and Guymon in 1983, the Complex Variable Boundary Element Method or CVBEM has been the subject of several theoretical adventures as well as numerous exciting applications. The CVBEM is a numerical application of the Cauchy Integral theorem (well-known to students of complex variables) to two-dimensional potential problems involving the Laplace or Poisson equations. Because the numerical application is analytic, the approximation exactly solves the Laplace equation. This attribute of the CVBEM is a distinct advantage over other numerical techniques that develop only an inexact approximation of the Laplace equation. In this book, several of the advances in CVBEM technology, that have evolved since 1983, are assembled according to primary topics including theoretical developments, applications, and CVBEM modeling error analysis. The book is self-contained on a chapter basis so that the reader can go to the chapter of interest rather than necessarily reading the entire prior material. Most of the applications presented in this book are based on the computer programs listed in the prior CVBEM book published by Springer-Verlag (Hromadka and Lai, 1987) and so are not republished here.
The Complex Variable Boundary Element Method
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Author : T. V. Hromadka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-12
The Complex Variable Boundary Element Method written by T. V. Hromadka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-12 with Mathematics categories.
The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM. This generalization allows an immediate and extremely valuable transfer of the modeling techniques used in real variable boundary integral equation methods (or boundary element methods) to the CVBEM. Consequently, modeling techniques for dissimilar materials, anisotropic materials, and time advancement, can be directly applied without modification to the CVBEM. An extremely useful feature offered by the CVBEM is that the pro duced approximation functions are analytic within the domain enclosed by the problem boundary and, therefore, exactly satisfy the two-dimensional Laplace equation throughout the problem domain. Another feature of the CVBEM is the integrations of the boundary integrals along each boundary element are solved exactly without the need for numerical integration. Additionally, the error analysis of the CVBEM approximation functions is workable by the easy-to-understand concept of relative error. A sophistication of the relative error analysis is the generation of an approximative boundary upon which the CVBEM approximation function exactly solves the boundary conditions of the boundary value problem' (of the Laplace equation), and the goodness of approximation is easily seen as a closeness-of-fit between the approximative and true problem boundaries.
Advanced Formulations In Boundary Element Methods
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Author : M. H. Aliabadi
language : en
Publisher:
Release Date : 1993
Advanced Formulations In Boundary Element Methods written by M. H. Aliabadi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
The Complex Variable Boundary Element Method
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Author : Theodore V. Hromadka
language : en
Publisher: Springer
Release Date : 1984
The Complex Variable Boundary Element Method written by Theodore V. Hromadka and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM. This generalization allows an immediate and extremely valuable transfer of the modeling techniques used in real variable boundary integral equation methods (or boundary element methods) to the CVBEM. Consequently, modeling techniques for dissimilar materials, anisotropic materials, and time advancement, can be directly applied without modification to the CVBEM. An extremely useful feature offered by the CVBEM is that the pro duced approximation functions are analytic within the domain enclosed by the problem boundary and, therefore, exactly satisfy the two-dimensional Laplace equation throughout the problem domain. Another feature of the CVBEM is the integrations of the boundary integrals along each boundary element are solved exactly without the need for numerical integration. Additionally, the error analysis of the CVBEM approximation functions is workable by the easy-to-understand concept of relative error. A sophistication of the relative error analysis is the generation of an approximative boundary upon which the CVBEM approximation function exactly solves the boundary conditions of the boundary value problem' (of the Laplace equation), and the goodness of approximation is easily seen as a closeness-of-fit between the approximative and true problem boundaries.
The Boundary Element Method
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Author : A. Ali
language : en
Publisher: CRC Press
Release Date : 2004-08-15
The Boundary Element Method written by A. Ali and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-15 with Mathematics categories.
The Boundary Element Method, or BEM, is a powerful numerical analysis tool with particular advantages over other analytical methods. With research in this area increasing rapidly and more uses for the method appearing, this timely book provides a full chronological review of all techniques that have been proposed so far, covering not only the fundamentals of the BEM but also a wealth of information on related computational analysis techniques and formulations, and their applications in engineering, physics and mathematics. An indispensable handbook and source of inspiration for researchers and professionals in these fields, this book is also an ideal textbook for graduate engineering students.
Environmental Modelling
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Author : Piero Melli
language : en
Publisher: Taylor & Francis
Release Date : 1992
Environmental Modelling written by Piero Melli and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Reference categories.
Boundary Element Technology Xv
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Author : C. A. Brebbia
language : en
Publisher: WIT Press (UK)
Release Date : 2003
Boundary Element Technology Xv written by C. A. Brebbia and has been published by WIT Press (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Annotation Featuring papers from the Fifteenth International Conference on Boundary Element Technology (BETECH), this book presents some of the most interesting and recent developments in the method, including its use in solving a variety of industrial problems.
Advances In Boundary Elements
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Author : C. A. Brebbia
language : en
Publisher:
Release Date : 1989
Advances In Boundary Elements written by C. A. Brebbia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
The Complex Variable Boundary Element Method In Engineering Analysis
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Author : Theodore V. Hromadka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Complex Variable Boundary Element Method In Engineering Analysis written by Theodore V. Hromadka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Medical categories.
The Complex Variable Boundary Element Method (CVBEM) has emerged as a new and effective modeling method in the field of computational mechanics and hydraulics. The CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method. The model ing approach by boundary integration, the use of complex variables for two-dimensional potential problems, and the adaptability to now-popular microcomputers are among the factors that make this technique easy to learn, simple to operate, practical for modeling, and efficient in simulating various physical processes. Many of the CVBEM concepts and notions may be derived from the Analytic Function Method (AFM) presented in van der Veer (1978). The AFM served as the starting point for the generalization of the CVBEM theory which was developed during the first author's research engagement (1979 through 1981) at the University of California, Irvine. The growth and expansion of the CVBEM were subsequently nurtured at the U. S. Geological Survey, where keen interest and much activity in numerical modeling and computational mechanics-and-hydraulics are prevalent. Inclusion of the CVBEM research program in Survey's computational-hydraulics projects, brings the modeling researcher more uniform aspects of numerical mathematics in engineering and scientific problems, not to mention its (CVBEM) practicality and usefulness in the hydrologic investigations. This book is intended to introduce the CVBEM to engineers and scientists with its basic theory, underlying mathematics, computer algorithm, error analysis schemes, model adjustment procedures, and application examples.
Advances In Design And Analysis In Pressure Vessel Technology
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Author : American Society of Mechanical Engineers. Winter Annual Meeting
language : en
Publisher:
Release Date : 1987
Advances In Design And Analysis In Pressure Vessel Technology written by American Society of Mechanical Engineers. Winter Annual Meeting and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Pressure vessels categories.