Fast Multipole Methods for the Helmholtz Equation in Three Dimensions
Fast Multipole Methods for the Helmholtz Equation in Three Dimensions

Author: Nail A Gumerov

Publisher: Elsevier

Published: 2005-01-27

Total Pages: 551

ISBN-13: 0080531598

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This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. - The Only book that provides comprehensive coverage of this topic in one location - Presents a review of the basic theory of expansions of the Helmholtz equation solutions - Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation

Fast Multipole Boundary Element Method
Fast Multipole Boundary Element Method

Author: Yijun Liu

Publisher: Cambridge University Press

Published: 2009-08-24

Total Pages: 255

ISBN-13: 113947944X

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The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the boundary can now be solved on desktop computers using the fast multipole BEM. This is the first book on the fast multipole BEM, which brings together the classical theories in BEM formulations and the recent development of the fast multipole method. Two- and three-dimensional potential, elastostatic, Stokes flow, and acoustic wave problems are covered, supplemented with exercise problems and computer source codes. Applications in modeling nanocomposite materials, bio-materials, fuel cells, acoustic waves, and image-based simulations are demonstrated to show the potential of the fast multipole BEM. Enables students, researchers, and engineers to learn the BEM and fast multipole method from a single source.

Boundary Elements and Other Mesh Reduction Methods XXXVII
Boundary Elements and Other Mesh Reduction Methods XXXVII

Author: C.A. Brebbia

Publisher: WIT Press

Published: 2014-09-08

Total Pages: 325

ISBN-13: 184564896X

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Since 1978 the conference on Boundary Elements and Mesh Reduction Methods has produced a successful series of volumes in which all major developments in the field have been presented. The 37th volume in the series continues this success by bringing together the latest advanced research carried out by different groups around the world. The included papers cover topics such as: Advanced meshless and mesh reduction methods; Advanced formulations; Computational methods; Stochastic modelling; Emerging applications; Solid mechanics applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Fluid flow modelling; Electrical engineering and electromagnetics; Heat and mass transfer.

Domain Decomposition Techniques for Boundary Elements
Domain Decomposition Techniques for Boundary Elements

Author: L. Škerget

Publisher: WIT Press

Published: 2007

Total Pages: 321

ISBN-13: 1845641000

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The sub-domain techniques in the BEM are nowadays finding its place in the toolbox of numerical modellers, especially when dealing with complex 3D problems. We see their main application in conjunction with the classical BEM approach, which is based on a single domain, when part of the domain needs to be solved using a single domain approach, the classical BEM, and part needs to be solved using a domain approach. This has usually been done in the past by coupling the BEM with the FEM, however, it is much more efficient to use a combination of the BEM and a BEM sub-domain technique. The advantage arises from the simplicity of coupling the single domain and multi-domain solutions, and from the fact that only one formulation needs to be developed, rather than two separate formulations based on different techniques. There are still possibilities for improving the BEM sub-domain techniques. However, considering the increased interest and research in this approach we believe that BEM sub-domain techniques will become a logical choice in the future substituting the FEM whenever an efficient solution requires coupling of the BEM with a domain technique.

Recent Advances in Boundary Element Methods
Recent Advances in Boundary Element Methods

Author: George Manolis

Publisher: Springer Science & Business Media

Published: 2009-05-12

Total Pages: 467

ISBN-13: 1402097107

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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.

Boundary Elements and Other Mesh Reduction Methods XXX
Boundary Elements and Other Mesh Reduction Methods XXX

Author: L. Škerget

Publisher: WIT Press

Published: 2008

Total Pages: 289

ISBN-13: 1845641213

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The major motivation behind the Boundary Element Method (BEM) was to reduce the dependency of analysis on the definition of meshes. This has allowed the method to expand naturally into new techniques such as Dual Reciprocity and all other Mesh reduction Methods (MRM). MRM and BEM continue to be very active areas of research with many of the resulting techniques applied to solve increasingly complex problems. This book contains papers presented at the much-acclaimed thirtieth International Conference on Boundary Elements and other Mesh Reductions Methods . The proceedings contain papers on practically all major developments in Boundary Elements, including the most recent MRM techniques, grouped under the following topics: Fluid Flow; Heat Transfer; Electrical Engineering and Electromagnetics; Damage Mechanics and Fracture; Mesh Reduction Techniques; Advanced Computational Techniques

Issues in Engineering Research and Application: 2013 Edition
Issues in Engineering Research and Application: 2013 Edition

Author:

Publisher: ScholarlyEditions

Published: 2013-05-01

Total Pages: 1160

ISBN-13: 1490109307

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Issues in Engineering Research and Application: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Noise Control Engineering. The editors have built Issues in Engineering Research and Application: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Noise Control Engineering in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Engineering Research and Application: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Heat Transfer
Heat Transfer

Author: Aziz Belmiloudi

Publisher: BoD – Books on Demand

Published: 2011-02-14

Total Pages: 658

ISBN-13: 9533075503

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Over the past few decades there has been a prolific increase in research and development in area of heat transfer, heat exchangers and their associated technologies. This book is a collection of current research in the above mentioned areas and describes modelling, numerical methods, simulation and information technology with modern ideas and methods to analyse and enhance heat transfer for single and multiphase systems. The topics considered include various basic concepts of heat transfer, the fundamental modes of heat transfer (namely conduction, convection and radiation), thermophysical properties, computational methodologies, control, stabilization and optimization problems, condensation, boiling and freezing, with many real-world problems and important modern applications. The book is divided in four sections : "Inverse, Stabilization and Optimization Problems", "Numerical Methods and Calculations", "Heat Transfer in Mini/Micro Systems", "Energy Transfer and Solid Materials", and each section discusses various issues, methods and applications in accordance with the subjects. The combination of fundamental approach with many important practical applications of current interest will make this book of interest to researchers, scientists, engineers and graduate students in many disciplines, who make use of mathematical modelling, inverse problems, implementation of recently developed numerical methods in this multidisciplinary field as well as to experimental and theoretical researchers in the field of heat and mass transfer.