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Book An Introduction to Domain Decomposition Methods

Download or read book An Introduction to Domain Decomposition Methods written by Victorita Dolean and published by SIAM. This book was released on 2015-12-08 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDEs). These methods are widely used for numerical simulations in solid mechanics, electromagnetism, flow in porous media, etc., on parallel machines from tens to hundreds of thousands of cores. The appealing feature of domain decomposition methods is that, contrary to direct methods, they are naturally parallel. The authors focus on parallel linear solvers. The authors present all popular algorithms, both at the PDE level and at the discrete level in terms of matrices, along with systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts. Also included is a new coarse space construction (two-level method) that adapts to highly heterogeneous problems.?

Book Domain Decomposition

    Book Details:
  • Author : Barry Smith
  • Publisher : Cambridge University Press
  • Release : 2004-03-25
  • ISBN : 9780521602860
  • Pages : 244 pages

Download or read book Domain Decomposition written by Barry Smith and published by Cambridge University Press. This book was released on 2004-03-25 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. Ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.

Book Massively Parallel Processing Applications and Development

Download or read book Massively Parallel Processing Applications and Development written by L. Dekker and published by Elsevier. This book was released on 2013-10-22 with total page 996 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions of a diverse selection of international hardware and software specialists are assimilated in this book's exploration of the development of massively parallel processing (MPP). The emphasis is placed on industrial applications and collaboration with users and suppliers from within the industrial community consolidates the scope of the publication. From a practical point of view, massively parallel data processing is a vital step to further innovation in all areas where large amounts of data must be processed in parallel or in a distributed manner, e.g. fluid dynamics, meteorology, seismics, molecular engineering, image processing, parallel data base processing. MPP technology can make the speed of computation higher and substantially reduce the computational costs. However, to achieve these features, the MPP software has to be developed further to create user-friendly programming systems and to become transparent for present-day computer software. Application of novel electro-optic components and devices is continuing and will be a key for much more general and powerful architectures. Vanishing of communication hardware limitations will result in the elimination of programming bottlenecks in parallel data processing. Standardization of the functional characteristics of a programming model of massively parallel computers will become established. Then efficient programming environments can be developed. The result will be a widespread use of massively parallel processing systems in many areas of application.

Book Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing

Download or read book Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing written by J. J. Dongarra and published by SIAM. This book was released on 1990-01-01 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.

Book Domain Decomposition Methods in Science and Engineering XXV

Download or read book Domain Decomposition Methods in Science and Engineering XXV written by Ronald Haynes and published by Springer Nature. This book was released on 2020-10-24 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in St. John's, Newfoundland, Canada in July 2018. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2018.

Book An Introduction to Domain Decomposition Methods

Download or read book An Introduction to Domain Decomposition Methods written by Victorita Dolean and published by SIAM. This book was released on 2015-12-08 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDEs). These methods are widely used for numerical simulations in solid mechanics, electromagnetism, flow in porous media, etc., on parallel machines from tens to hundreds of thousands of cores. The appealing feature of domain decomposition methods is that, contrary to direct methods, they are naturally parallel. The authors focus on parallel linear solvers. The authors present all popular algorithms, both at the PDE level and at the discrete level in terms of matrices, along with systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts. Also included is a new coarse space construction (two-level method) that adapts to highly heterogeneous problems.

Book Final Report  DE FG01 06ER25718 Domain Decomposition and Parallel Computing

Download or read book Final Report DE FG01 06ER25718 Domain Decomposition and Parallel Computing written by and published by . This book was released on 2015 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this project is to develop and improve domain decomposition algorithms for a variety of partial differential equations such as those of linear elasticity and electro-magnetics. These iterative methods are designed for massively parallel computing systems and allow the fast solution of the very large systems of algebraic equations that arise in large scale and complicated simulations. A special emphasis is placed on problems arising from Maxwell's equation. The approximate solvers, the preconditioners, are combined with the conjugate gradient method and must always include a solver of a coarse model in order to have a performance which is independent of the number of processors used in the computer simulation. A recent development allows for an adaptive construction of this coarse component of the preconditioner.

Book Domain Decomposition Methods in Science and Engineering XXIV

Download or read book Domain Decomposition Methods in Science and Engineering XXIV written by Petter E. Bjørstad and published by Springer. This book was released on 2019-01-05 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2017.

Book Domain Decomposition Methods in Science and Engineering XXVI

Download or read book Domain Decomposition Methods in Science and Engineering XXVI written by Susanne C. Brenner and published by Springer Nature. This book was released on 2023-03-15 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the 26th International Conference on Domain Decomposition Methods in Science and Engineering, which was hosted by the Chinese University of Hong Kong and held online in December 2020. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2020.

Book Domain Decomposition Methods in Science and Engineering XXI

Download or read book Domain Decomposition Methods in Science and Engineering XXI written by Jocelyne Erhel and published by Springer. This book was released on 2014-10-10 with total page 931 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of papers presented at the 21st international conference on domain decomposition methods in science and engineering held in Rennes, France, June 25-29, 2012. Domain decomposition is an active and interdisciplinary research discipline, focusing on the development, analysis and implementation of numerical methods for massively parallel computers. Domain decomposition methods are among the most efficient solvers for large scale applications in science and engineering. They are based on a solid theoretical foundation and shown to be scalable for many important applications. Domain decomposition techniques can also naturally take into account multiscale phenomena. This book contains the most recent results in this important field of research, both mathematically and algorithmically and allows the reader to get an overview of this exciting branch of numerical analysis and scientific computing.

Book

    Book Details:
  • Author : Foster
  • Publisher :
  • Release : 2002
  • ISBN : 9787115103475
  • Pages : 381 pages

Download or read book written by Foster and published by . This book was released on 2002 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: 国外著名高等院校信息科学与技术优秀教材

Book Programming Environments for Massively Parallel Distributed Systems

Download or read book Programming Environments for Massively Parallel Distributed Systems written by Karsten M. Decker and published by Birkhäuser. This book was released on 2013-04-17 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Massively Parallel Systems (MPSs) with their scalable computation and storage space promises are becoming increasingly important for high-performance computing. The growing acceptance of MPSs in academia is clearly apparent. However, in industrial companies, their usage remains low. The programming of MPSs is still the big obstacle, and solving this software problem is sometimes referred to as one of the most challenging tasks of the 1990's. The 1994 working conference on "Programming Environments for Massively Parallel Systems" was the latest event of the working group WG 10.3 of the International Federation for Information Processing (IFIP) in this field. It succeeded the 1992 conference in Edinburgh on "Programming Environments for Parallel Computing". The research and development work discussed at the conference addresses the entire spectrum of software problems including virtual machines which are less cumbersome to program; more convenient programming models; advanced programming languages, and especially more sophisticated programming tools; but also algorithms and applications.

Book Domain Decomposition Methods in Science and Engineering XVI

Download or read book Domain Decomposition Methods in Science and Engineering XVI written by Olof Widlund and published by Springer Science & Business Media. This book was released on 2007-07-30 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain decomposition is an active research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.

Book Programming Massively Parallel Processors

Download or read book Programming Massively Parallel Processors written by David B. Kirk and published by Newnes. This book was released on 2012-12-31 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Programming Massively Parallel Processors: A Hands-on Approach, Second Edition, teaches students how to program massively parallel processors. It offers a detailed discussion of various techniques for constructing parallel programs. Case studies are used to demonstrate the development process, which begins with computational thinking and ends with effective and efficient parallel programs. This guide shows both student and professional alike the basic concepts of parallel programming and GPU architecture. Topics of performance, floating-point format, parallel patterns, and dynamic parallelism are covered in depth. This revised edition contains more parallel programming examples, commonly-used libraries such as Thrust, and explanations of the latest tools. It also provides new coverage of CUDA 5.0, improved performance, enhanced development tools, increased hardware support, and more; increased coverage of related technology, OpenCL and new material on algorithm patterns, GPU clusters, host programming, and data parallelism; and two new case studies (on MRI reconstruction and molecular visualization) that explore the latest applications of CUDA and GPUs for scientific research and high-performance computing. This book should be a valuable resource for advanced students, software engineers, programmers, and hardware engineers. - New coverage of CUDA 5.0, improved performance, enhanced development tools, increased hardware support, and more - Increased coverage of related technology, OpenCL and new material on algorithm patterns, GPU clusters, host programming, and data parallelism - Two new case studies (on MRI reconstruction and molecular visualization) explore the latest applications of CUDA and GPUs for scientific research and high-performance computing

Book Implementation of a Parallel Algorithm for Thermo chemical Nonequilibrium Flow Simulations

Download or read book Implementation of a Parallel Algorithm for Thermo chemical Nonequilibrium Flow Simulations written by and published by . This book was released on 1995 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Massively parallel (MP) computing is considered to be the future direction of high performance computing. When engineers apply this new MP computing technology to solve large-scale problems, one major interest is what is the maximum problem size that a MP computer can handle. To determine the maximum size, it is important to address the code scalability issue. Scalability implies whether the code can provide an increase in performance proportional to an increase in problem size. If the size of the problem increases, by utilizing more computer nodes, the ideal elapsed time to simulate a problem should not increase much. Hence one important task in the development of the MP computing technology is to ensure scalability. A scalable code is an efficient code. In order to obtain good scaled performance, it is necessary to first have the code optimized for a single node performance before proceeding to a large-scale simulation with a large number of computer nodes. This paper will discuss the implementation of a massively parallel computing strategy and the process of optimization to improve the scaled performance. Specifically, we will look at domain decomposition, resource management in the code, communication overhead, and problem mapping. By incorporating these improvements and adopting an efficient MP computing strategy, an efficiency of about 85% and 96%, respectively, has been achieved using 64 nodes on MP computers for both perfect gas and chemically reactive gas problems. A comparison of the performance between MP computers and a vectorized computer, such as Cray-YMP, will also be presented.