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 XXXII
Boundary Elements and Other Mesh Reduction Methods XXXII

Author: C. A. Brebbia

Publisher: WIT Press

Published: 2010

Total Pages: 337

ISBN-13: 1845644700

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The proceedings of the 32nd International Conference on Boundary Elements and Other Mesh Reduction Methods, an internationally recognized forum for the dissemination of the latest advances on mesh reduction techniques and their applications in science and engineering.

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

Issues in Electrical, Computer, and Optical Engineering: 2011 Edition
Issues in Electrical, Computer, and Optical Engineering: 2011 Edition

Author:

Publisher: ScholarlyEditions

Published: 2012-01-09

Total Pages: 886

ISBN-13: 1464965889

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Issues in Electrical, Computer, and Optical Engineering: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Electrical, Computer, and Optical Engineering. The editors have built Issues in Electrical, Computer, and Optical Engineering: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Electrical, Computer, and Optical Engineering in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Electrical, Computer, and Optical Engineering: 2011 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/.

Boundary Elements and Other Mesh Reduction Methods XXXVI
Boundary Elements and Other Mesh Reduction Methods XXXVI

Author: X. W. Gao

Publisher: WIT Press

Published: 2013-12-11

Total Pages: 569

ISBN-13: 1845648412

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The Conference on Boundary Elements and Mesh Reduction Methods (BEM/MRM) is recognised as the international forum for the latest advances in these techniques and their applications in science and engineering. Launched in 1978 the Conference continues to attract original contributions and has become the forum for their rapid dissemination throughout the international scientific community. Practically all new boundary element ideas have first appeared in the proceedings of these meetings.

Mechanical and Electronics Engineering III
Mechanical and Electronics Engineering III

Author: Han Zhao

Publisher: Trans Tech Publications Ltd

Published: 2011-10-27

Total Pages: 4388

ISBN-13: 3038137189

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Selected, peer reviewed papers from the 2011 3rd International Conference on Mechanical and Electronics Engineering (ICMEE 2011), September 23-25, 2011, Hefei, China

The Isogeometric Boundary Element Method
The Isogeometric Boundary Element Method

Author: Gernot Beer

Publisher: Springer Nature

Published: 2019-09-21

Total Pages: 342

ISBN-13: 3030233391

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This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.

Innovative Approaches in Computational Structural Engineering
Innovative Approaches in Computational Structural Engineering

Author: George C. Tsiatas

Publisher: Frontiers Media SA

Published: 2020-04-22

Total Pages: 266

ISBN-13: 2889636070

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Nowadays, numerical computation has become one of the most vigorous tools for scientists, researchers and professional engineers, following the enormous progress made during the last decades in computing technology, in terms of both computer hardware and software development. Although this has led to tremendous achievements in computer-based structural engineering, the increasing necessity of solving complex problems in engineering requires the development of new ideas and innovative methods for providing accurate numerical solutions in affordable computing times. This collection aims at providing a forum for the presentation and discussion of state-of-the-art innovative developments, concepts, methodologies and approaches in scientific computation applied to structural engineering. It involves a wide coverage of timely issues on computational structural engineering with a broad range of both research and advanced practical applications. This Research Topic encompasses, but is not restricted to, the following scientific areas: modeling in structural engineering; finite element methods; boundary element methods; static and dynamic analysis of structures; structural stability; structural mechanics; meshless methods; smart structures and systems; fire engineering; blast engineering; structural reliability; structural health monitoring and control; optimization; and composite materials, with application to engineering structures.

GPU Computing Gems Emerald Edition
GPU Computing Gems Emerald Edition

Author:

Publisher: Elsevier

Published: 2011-01-13

Total Pages: 889

ISBN-13: 0123849896

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GPU Computing Gems Emerald Edition offers practical techniques in parallel computing using graphics processing units (GPUs) to enhance scientific research. The first volume in Morgan Kaufmann's Applications of GPU Computing Series, this book offers the latest insights and research in computer vision, electronic design automation, and emerging data-intensive applications. It also covers life sciences, medical imaging, ray tracing and rendering, scientific simulation, signal and audio processing, statistical modeling, video and image processing. This book is intended to help those who are facing the challenge of programming systems to effectively use GPUs to achieve efficiency and performance goals. It offers developers a window into diverse application areas, and the opportunity to gain insights from others' algorithm work that they may apply to their own projects. Readers will learn from the leading researchers in parallel programming, who have gathered their solutions and experience in one volume under the guidance of expert area editors. Each chapter is written to be accessible to researchers from other domains, allowing knowledge to cross-pollinate across the GPU spectrum. Many examples leverage NVIDIA's CUDA parallel computing architecture, the most widely-adopted massively parallel programming solution. The insights and ideas as well as practical hands-on skills in the book can be immediately put to use. Computer programmers, software engineers, hardware engineers, and computer science students will find this volume a helpful resource. For useful source codes discussed throughout the book, the editors invite readers to the following website: ..." - Covers the breadth of industry from scientific simulation and electronic design automation to audio / video processing, medical imaging, computer vision, and more - Many examples leverage NVIDIA's CUDA parallel computing architecture, the most widely-adopted massively parallel programming solution - Offers insights and ideas as well as practical "hands-on" skills you can immediately put to use