Numerical Solution of Partial Differential Equations on Parallel Computers

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Publisher : Springer Science & Business Media
ISBN 13 : 3540316191
Total Pages : 491 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Numerical Solution of Partial Differential Equations on Parallel Computers by : Are Magnus Bruaset

Download or read book Numerical Solution of Partial Differential Equations on Parallel Computers written by Are Magnus Bruaset and published by Springer Science & Business Media. This book was released on 2006-03-05 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.

Handbook of Grid Generation

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Publisher : CRC Press
ISBN 13 : 9781420050349
Total Pages : 1136 pages
Book Rating : 4.0/5 (53 download)

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Book Synopsis Handbook of Grid Generation by : Joe F. Thompson

Download or read book Handbook of Grid Generation written by Joe F. Thompson and published by CRC Press. This book was released on 1998-12-29 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material. This handbook covers: Fundamental concepts and approaches Grid generation process Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations Separate grids overlaid on one another, communicating data through interpolation Moving boundaries and internal interfaces in the field Resolving gradients and controlling solution error Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.

Computational Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540759999
Total Pages : 452 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Computational Mechanics by : Zhenhan Yao

Download or read book Computational Mechanics written by Zhenhan Yao and published by Springer Science & Business Media. This book was released on 2009-03-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mechanics is the proceedings of the International Symposium on Computational Mechanics, ISCM 2007. This conference is the first of a series created by a group of prominent scholars from the Mainland of China, Hong Kong, Taiwan, and overseas Chinese, who are very active in the field. The book includes 22 full papers of plenary and semi-plenary lectures and approximately 150 one-page summaries.

Proceedings of the 21st International Meshing Roundtable

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Publisher : Springer Science & Business Media
ISBN 13 : 3642335721
Total Pages : 603 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Proceedings of the 21st International Meshing Roundtable by : Xiangmin Jiao

Download or read book Proceedings of the 21st International Meshing Roundtable written by Xiangmin Jiao and published by Springer Science & Business Media. This book was released on 2012-09-07 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the articles presented at the 21st International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and was held on October 7–10, 2012 in San Jose, CA, USA. The first IMR was held in 1992, and the conference series has been held annually since. Each year the IMR brings together researchers, developers, and application experts in a variety of disciplines, from all over the world, to present and discuss ideas on mesh generation and related topics. The technical papers in this volume present theoretical and novel ideas and algorithms with practical potential, as well as technical applications in science and engineering, geometric modeling, computer graphics, and visualization.

Implementation of a Parallel Unstructured Euler Solver on Shared and Distributed Memory Architectures

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Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Implementation of a Parallel Unstructured Euler Solver on Shared and Distributed Memory Architectures by : Institute for Computer Applications in Science and Engineering

Download or read book Implementation of a Parallel Unstructured Euler Solver on Shared and Distributed Memory Architectures written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1992 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the 18th International Meshing Roundtable

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Publisher : Springer Science & Business Media
ISBN 13 : 3642043194
Total Pages : 651 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Proceedings of the 18th International Meshing Roundtable by : Brett W. Clark

Download or read book Proceedings of the 18th International Meshing Roundtable written by Brett W. Clark and published by Springer Science & Business Media. This book was released on 2009-11-26 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the articles presented at the 18th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held October 25-28, 2009 in Salt Lake City, Utah, USA. The volume presents recent results of mesh generation and adaptation which has applications to finite element simulation. It introduces theoretical and novel ideas with practical potential.

Numerical Mathematics and Advanced Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642187757
Total Pages : 873 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Numerical Mathematics and Advanced Applications by : Miloslav Feistauer

Download or read book Numerical Mathematics and Advanced Applications written by Miloslav Feistauer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings collect the major part of the lectures given at ENU MATH2003, the European Conference on Numerical Mathematics and Ad vanced Applications, held in Prague, Czech Republic, from 18 August to 22 August, 2003. The importance of numerical and computational mathematics and sci entific computing is permanently growing. There is an increasing number of different research areas, where numerical simulation is necessary. Let us men tion fluid dynamics, continuum mechanics, electromagnetism, phase transi tion, cosmology, medicine, economics, finance, etc. The success of applications of numerical methods is conditioned by changing its basic instruments and looking for new appropriate techniques adapted to new problems as well as new computer architectures. The ENUMATH conferences were established in order to provide a fo rum for discussion of current topics of numerical mathematics. They seek to convene leading experts and young scientists with special emphasis on con tributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms as well as in their applications to challenging scientific and industrial problems. The first ENUMATH conference was organized in Paris in 1995, then the series continued by the conferences in Heidelberg 1997, Jyvaskyla 1999 and Ischia Porto 2001. It was a great pleasure and honour for the Czech numerical community that it was decided at Ischia Porto to organize the ENUMATH2003 in Prague. It was the first time when this conference crossed the former Iron Courtain and was organized in a postsocialist country.

Numerical Simulations of Coupled Problems in Engineering

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Publisher : Springer
ISBN 13 : 3319061364
Total Pages : 417 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Numerical Simulations of Coupled Problems in Engineering by : Sergio R. Idelsohn

Download or read book Numerical Simulations of Coupled Problems in Engineering written by Sergio R. Idelsohn and published by Springer. This book was released on 2014-05-09 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and discusses mathematical models, numerical methods and computational techniques used for solving coupled problems in science and engineering. It takes a step forward in the formulation and solution of real-life problems with a multidisciplinary vision, accounting for all of the complex couplings involved in the physical description. Simulation of multifaceted physics problems is a common task in applied research and industry. Often a suitable solver is built by connecting together several single-aspect solvers into a network. In this book, research in various fields was selected for consideration: adaptive methodology for multi-physics solvers, multi-physics phenomena and coupled-field solutions, leading to computationally intensive structural analysis. The strategies which are used to keep these problems computationally affordable are of special interest, and make this an essential book.

Grid Generation and Adaptive Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 1461215560
Total Pages : 191 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Grid Generation and Adaptive Algorithms by : Marshall W. Bern

Download or read book Grid Generation and Adaptive Algorithms written by Marshall W. Bern and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications GRID GENERATION AND ADAPTIVE ALGORITHMS is based on the proceedings of a workshop with the same title. The work shop was an integral part of the 1996-97 IMA program on "MATHEMAT ICS IN HIGH-PERFORMANCE COMPUTING. " I would like to thank Marshall Bern (Xerox, Palo Alto Research Cen ter), Joseph E. Flaherty (Department of Computer Science, Rensselaer Polytechnic Institute), and Mitchell Luskin (School of Mathematics, Uni versity of Minnesota), for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr. , Professor and Director v PREFACE Scientific and engineering computation has become so complex that traditional numerical computation on uniform meshes is generally not pos sible or too expensive. Mesh generation must reflect both the domain geometry and the expected solution characteristics. Meshes should, fur thermore, be related to the solution through computable estimates of dis cretization errors. This, suggests an automatic and adaptive process where an initial mesh is enriched with the goal of computing a solution with prescribed accuracy specifications in an optimal manner. While automatic mesh generation procedures and adaptive strategies are becoming available, major computational challenges remain. Three-dimensional mesh genera tion is still far from automatic.

NAS Technical Summaries

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Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis NAS Technical Summaries by :

Download or read book NAS Technical Summaries written by and published by . This book was released on 1994 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Mechanics

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Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302093435
Total Pages : 902 pages
Book Rating : 4.0/5 (934 download)

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Book Synopsis Computational Mechanics by : M. W. Yuan

Download or read book Computational Mechanics written by M. W. Yuan and published by 清华大学出版社有限公司. This book was released on 2004 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel Mesh Generation

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Publisher : CRC Press
ISBN 13 : 9781420073959
Total Pages : 350 pages
Book Rating : 4.0/5 (739 download)

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Book Synopsis Parallel Mesh Generation by : Nikos Chrisochoides

Download or read book Parallel Mesh Generation written by Nikos Chrisochoides and published by CRC Press. This book was released on 2016-05-15 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Breaking new ground in parallel mesh generation research, this text presents both the theoretical foundations and practical aspects related to the implementation of the methods used on current and emerging architectures within this field. Never before has any other book attempted to exclusively cover this important topic. With over twenty years of experience in parallel computing and mesh generation, the expert authors include information on new applications, including the use of parallel mesh generation in computer aided surgery.

Parallel Computing: Fundamentals And Applications - Proceedings Of The International Conference Parco99

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Publisher : World Scientific
ISBN 13 : 1783261684
Total Pages : 788 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Parallel Computing: Fundamentals And Applications - Proceedings Of The International Conference Parco99 by : Erik H D'hollander

Download or read book Parallel Computing: Fundamentals And Applications - Proceedings Of The International Conference Parco99 written by Erik H D'hollander and published by World Scientific. This book was released on 2000-05-31 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: This millennium will see the increased use of parallel computing technologies at all levels of mainstream computing. Most computer hardware will use these technologies to achieve higher computing speeds, high speed access to very large distributed databases and greater flexibility through heterogeneous computing. These developments can be expected to result in the extended use of all types of parallel computers in virtually all areas of human endeavour. Compute-intensive problems in emerging areas such as financial modelling and multimedia systems, in addition to traditional application areas of parallel computing such as scientific computing and simulation, will stimulate the developments. Parallel computing as a field of scientific research and development will move from a niche concentrating on solving compute-intensive scientific and engineering problems to become one of the fundamental computing technologies.This book gives a retrospective view of what has been achieved in the parallel computing field during the past three decades, as well as a prospective view of expected future developments./a

Mesh Generation and Adaptation

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Publisher : Springer Nature
ISBN 13 : 3030925404
Total Pages : 328 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Mesh Generation and Adaptation by : Rubén Sevilla

Download or read book Mesh Generation and Adaptation written by Rubén Sevilla and published by Springer Nature. This book was released on 2022-05-18 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The developments in mesh generation are usually driven by the needs of new applications and/or novel algorithms. The last decade has seen a renewed interest in mesh generation and adaptation by the computational engineering community, due to the challenges introduced by complex industrial problems.Another common challenge is the need to handle complex geometries. Nowadays, it is becoming obvious that geometry should be persistent throughout the whole simulation process. Several methodologies that can carry the geometric information throughout the simulation stage are available, but due to the novelty of these methods, the generation of suitable meshes for these techniques is still the main obstacle for the industrial uptake of this technology.This book will cover different aspects of mesh generation and adaptation, with particular emphasis on cutting-edge mesh generation techniques for advanced discretisation methods and complex geometries.

Delaunay Mesh Generation

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Publisher : CRC Press
ISBN 13 : 1584887311
Total Pages : 404 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Delaunay Mesh Generation by : Siu-Wing Cheng

Download or read book Delaunay Mesh Generation written by Siu-Wing Cheng and published by CRC Press. This book was released on 2016-04-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by authors at the forefront of modern algorithms research, Delaunay Mesh Generation demonstrates the power and versatility of Delaunay meshers in tackling complex geometric domains ranging from polyhedra with internal boundaries to piecewise smooth surfaces. Covering both volume and surface meshes, the authors fully explain how and why thes

Parallel and Distributed Processing for Computational Mechanics

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Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Parallel and Distributed Processing for Computational Mechanics by : B. H. V. Topping

Download or read book Parallel and Distributed Processing for Computational Mechanics written by B. H. V. Topping and published by . This book was released on 1999 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Included in this book are the keynote lectures presented at The First Euro-Conference on Parallel and Distributed Computing for Computational Mechanics, 26 April-1 May 1997, Lochinver, Scotland.

Computational Science, Mathematics, and Software

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Publisher : Purdue University Press
ISBN 13 : 9781557532503
Total Pages : 414 pages
Book Rating : 4.5/5 (325 download)

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Book Synopsis Computational Science, Mathematics, and Software by : Ronald F. Boisvert

Download or read book Computational Science, Mathematics, and Software written by Ronald F. Boisvert and published by Purdue University Press. This book was released on 2002 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 19 contributions from the International Symposium for Computational Science, 1999. Topics covered include delivery mechanisms for numerial algorithms, intelligent systems for recommending scientific software and the architecture of scientific problem-solving environments.