Advanced Boundary Element Methods

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 : Lothar Gaul,Martin Kögl,Marcus Wagner
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 50,9 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 : Thomas A. Cruse
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642830037

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Advanced Boundary Element Methods by Thomas A. Cruse Pdf

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.

Author : Stefan A. Sauter,Christoph Schwab
Publisher : Springer Science & Business Media
Page : 575 pages
File Size : 42,6 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 : Thomas Apel,Ulrich Langer,Arnd Meyer,Olaf Steinbach
Publisher : Springer
Page : 428 pages
File Size : 54,5 Mb
Release : 2019-06-28
Category : Mathematics
ISBN : 9783030142445

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Advanced Finite Element Methods with Applications by Thomas Apel,Ulrich Langer,Arnd Meyer,Olaf Steinbach Pdf

Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.

Author : Goong Chen
Publisher : Unknown
Page : 680 pages
File Size : 46,5 Mb
Release : 1992
Category : Boundary element methods
ISBN : UOM:39015020880251

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Boundary Element Methods by Goong Chen Pdf

Author : James H. Kane,Giulio Maier,Nobuyoshi Tosaka,S.N. Atluri
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642510274

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Advances in Boundary Element Techniques by James H. Kane,Giulio Maier,Nobuyoshi Tosaka,S.N. Atluri Pdf

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.

Author : C.A. Brebbia
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400961920

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Boundary Element Techniques in Computer-Aided Engineering by C.A. Brebbia Pdf

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.

Author : Wolfgang Hackbusch,Gabriel Wittum
Publisher : Springer Science & Business Media
Page : 281 pages
File Size : 45,9 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783322899415

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Boundary Elements: Implementation and Analysis of Advanced Algorithms by Wolfgang Hackbusch,Gabriel Wittum Pdf

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.

Author : Thomas A. Cruse
Publisher : Springer Verlag
Page : 0 pages
File Size : 51,5 Mb
Release : 1988
Category : Technology & Engineering
ISBN : 0387174540

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Advanced Boundary Element Methods by Thomas A. Cruse Pdf

Author : P.K. Banerjee,B. Wilson
Publisher : CRC Press
Page : 299 pages
File Size : 54,8 Mb
Release : 2005-12-07
Category : Architecture
ISBN : 9780203974506

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Developments in Boundary Element Methods by P.K. Banerjee,B. Wilson Pdf

Nine detailed survey chapters by different authors present a number of applications of BEMs.

Author : Gernot Beer,Ian Smith,Christian Duenser
Publisher : Springer Science & Business Media
Page : 496 pages
File Size : 51,7 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 : M. H. Aliabadi,C. A. Brebbia
Publisher : Unknown
Page : 312 pages
File Size : 41,9 Mb
Release : 1993
Category : Boundary element methods
ISBN : UCSD:31822015217789

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Advanced Formulations in Boundary Element Methods by M. H. Aliabadi,C. A. Brebbia Pdf

Author : C. A. Brebbia,Viktor Popov,V. Popov
Publisher : WIT Press
Page : 369 pages
File Size : 45,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9781845645427

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Boundary Elements and Other Mesh Reduction Methods XXXIII by C. A. Brebbia,Viktor Popov,V. Popov Pdf

The Wessex Institute of Technology has been convening conferences on the Boundary Element Method since 1978. The now-annual conference series is recognised internationally as the premiere forum for sharing the latest advances on the boundary element method and other meshless techniques and their applications, which continue to evolve and grow in importance. The papers presented at the latest conference will cover topics such as Advanced meshless and mesh reduction methods; Heat and mass transfer; Electrical engineering and electromagnetics; Fluid flow; Advanced formulations; Computational techniques; Advanced structural applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Financial engineering applications; Stochastic modelling; and Emerging applications..

Author : C. Pozrikidis
Publisher : CRC Press
Page : 438 pages
File Size : 54,7 Mb
Release : 2002-05-15
Category : Mathematics
ISBN : 9781420035254

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A Practical Guide to Boundary Element Methods with the Software Library BEMLIB by C. Pozrikidis Pdf

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