Advanced Boundary Element Methods
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Advanced Boundary Element Methods
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Author : Joachim Gwinner
language : en
Publisher: Springer
Release Date : 2018-07-28
Advanced Boundary Element Methods written by Joachim Gwinner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-28 with Mathematics categories.
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.
Advanced Boundary Element Methods
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Author : Thomas A. Cruse
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Advanced Boundary Element Methods written by Thomas A. Cruse 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 Science categories.
The IUTAM Symposium on Advanced Boundary Element Methods brought together both established and current researchers in the broad context of applications of BEM technology. The goal of the Symposium was to provide both a formal and an informal forum for the interchange of ideas and the stimulation of new research directions.
Boundary Element Methods For Engineers And Scientists
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Author : Lothar Gaul
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Boundary Element Methods For Engineers And Scientists written by Lothar Gaul 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 2013-06-29 with Technology & Engineering categories.
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.
Advanced Boundary Element Methods
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Author : Thomas A. Cruse
language : en
Publisher: Springer Verlag
Release Date : 1988
Advanced Boundary Element Methods written by Thomas A. Cruse and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Technology & Engineering categories.
Boundary Elements Implementation And Analysis Of Advanced Algorithms
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Author : Wolfgang Hackbusch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Boundary Elements Implementation And Analysis Of Advanced Algorithms written by Wolfgang Hackbusch 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 2013-04-17 with Technology & Engineering categories.
Englischer Text: The volume contains 21 contributions to the 12th GAMM-Seminar (Kiel, January 1996), which was devoted to advanced algorithms in the field of boundary element methods. The topics were e. g. cubature techniques, multiscale methods, hp-discretisation, error estimation, domain decomposition, and programm design. Deutscher Text: Der Band enthält die 21 Beiträge zum 12. GAMM-Seminar (Kiel, Jaunuar 1996), welches sich mit fortgeschrittenen Algorithmen auf dem Gebiet der Randwertprobleme befaßte.
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 Boundary element methods categories.
Advances In Boundary Element Techniques
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Author : James H. Kane
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Advances In Boundary Element Techniques written by James H. Kane 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 Technology & Engineering categories.
The editors have published a select group of full length papers on boundary element analysis (BEA) photographed from camera ready manuscripts. The articles have been prepared by some of the most distinguished and prolific individuals in this field. More than half of these articles have been submitted by authors that participated in an International Forum on Boundary Element Methods, in Melbourne Australia, in the Summer of 1991. However, this volume is not a conference proceedings, as these authors have expanded their accounts to chapter length, and/or have tailored their expositions more toward the style employed in archival journal publications. The authors that did not participate in the International Forum have also adhered to the above mentioned philosophy. This work contains a definitive representation of the significant capabilities and applications currently available or under investigation that fall under the general category of advanced boundary element analysis. With treatments of mechanical, thermal, fluid, and electromagnetic phenomena, this book should thus be of value to graduate students, practitioners, and researchers in engineering, mathematics, and the physical sciences wishing to obtain a broader perspective or remain current in these important areas of computational simulation.
Boundary Element Techniques In Computer Aided Engineering
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Author : C.A. Brebbia
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Boundary Element Techniques In Computer Aided Engineering written by C.A. Brebbia 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 Mathematics categories.
This book constitutes the edited proceedings of the Advanced Studies Institute on Boundary Element Techniques in Computer Aided Engineering held at The Institute of Computational Mechanics, Ashurst Lodge, Southampton, England, from September 19 to 30, 1984. The Institute was held under the auspices of the newly launched "Double Jump Programme" which aims to bring together academics and industrial scientists. Consequently the programme was more industr ially based than other NATO ASI meetings, achieving an excellent combination of theoretical and practical aspects of the newly developed Boundary Element Method. In recent years engineers have become increasingly interested in the application of boundary element techniques for'the solution of continuum mechanics problems. The importance of boundary elements is that it combines the advantages of boundary integral equations (i.e. reduction of dimensionality of the problems, possibility of modelling domains extending to infinity, numerical accura'cy) with the versatility of finite elements (i.e. modelling of arbitrary curved surfaces). Because of this the technique has been well received by the engineering and scientific communities. Another important advantage of boundary elements stems from its reduction of dimensionality, that is that the technique requires much less data input than classical finite elements. This makes the method very well suited for Computer Aided Design and in great part explains the interest of the engineering profession in the new technique.
Developments In Boundary Element Methods
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Author : P.K. Banerjee
language : en
Publisher: CRC Press
Release Date : 2005-12-07
Developments In Boundary Element Methods written by P.K. Banerjee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-07 with Architecture categories.
Nine detailed survey chapters by different authors present a number of applications of BEMs.
Boundary Element Methods
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Author : Stefan A. Sauter
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-01
Boundary Element Methods written by Stefan A. Sauter 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 2010-11-01 with Mathematics categories.
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.