Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Multigrid And Krylov Solvers For Large Scale Finite Element Groundwater Flow Simulations On Distributed Memory Parallel Platforms
Download Multigrid And Krylov Solvers For Large Scale Finite Element Groundwater Flow Simulations On Distributed Memory Parallel Platforms full books in PDF, epub, and Kindle. Read online Multigrid And Krylov Solvers For Large Scale Finite Element Groundwater Flow Simulations On Distributed Memory Parallel Platforms ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Multigrid and Krylov Solvers for Large Scale Finite Element Groundwater Flow Simulations on Distributed Memory Parallel Platforms by :
Download or read book Multigrid and Krylov Solvers for Large Scale Finite Element Groundwater Flow Simulations on Distributed Memory Parallel Platforms written by and published by . This book was released on 1997 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this report we present parallel solvers for large linear systems arising from the finite-element discretization of the three-dimensional steady-state groundwater flow problem. Our solvers are based on multigrid and Krylov subspace methods. The parallel implementation is based on a domain decomposition strategy with explicit message passing using NX and MPI libraries. We have tested our parallel implementations on the Intel Paragon XP/S 150 supercomputer using up to 1024 parallel processors and on other parallel platforms such as SGI/Power Challenge Array, Cray/SGI Origin 2000, Convex Exemplar SPP-1200, and IBM SP using up to 64 processors. We show that multigrid can be a scalable algorithm on distributed memory machines. We demonstrate the effectiveness of parallel multigrid based solvers by solving problems requiring more than 70 million nodes in less than a minute. This is more than 25 times faster than the diagonal preconditioned conjugate gradient method which is one of the more popular methods for large sparse linear systems. Our results also show that multigrid as a stand alone solver works best for problems with smooth coefficients, but for rough coefficients it is best used as a preconditioner for a Krylov subspace method such as the conjugate gradient method. We show that even for extremely heterogeneous systems the multigrid pre-conditioned conjugate gradient method is at least 10 times faster than the diagonally preconditioned conjugate gradient method.
Book Synopsis Recueil factice d'art. de presse à propos de "la Dame violée" pièce de Jacques Théry et Henry Decoin, non représentée (1926-1930) by :
Download or read book Recueil factice d'art. de presse à propos de "la Dame violée" pièce de Jacques Théry et Henry Decoin, non représentée (1926-1930) written by and published by . This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallel Computing Using the Multiscale Finite Element Method for Sub-surface Flow Models by : Anshul Goyal
Download or read book Parallel Computing Using the Multiscale Finite Element Method for Sub-surface Flow Models written by Anshul Goyal and published by . This book was released on 2016 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subsurface flows, occurring in groundwater movement and production of hydrocarbons in the petroleum industry, are affected by the heterogeneity of the medium varying over large scales. In this thesis, we have used state of the art multiscale methods to solve one such flow model, influenced by high contrast permeability field. The focus is on the elliptic pressure equation which is solved on both fine and coarse scale for comparison purposes. Shared memory parallelism has been achieved for generating basis functions, which is computationally the most expensive portion of the multiscale implementation. Parallel systematic spectral enrichment using the GMsFEM (Generalized Multiscale Finite Element Method) is the key feature of the current work and has been compared with the MsFEM (Multiscale Finite Element Method). Efficiency of algorithmic implementation has been first tabulated for a two-dimensional finite element code using the MATLAB parallel computing toolbox and also has been given a more generalized form using a three-dimensional finite element code written in OpenMP (Open Multiprocessing) and C++. The timing comparison shows a significant decline in the execution time for the algorithms. It indicates that a higher level of enrichment and desired accuracy is achievable for large scale problems. Computational time gain and fewer memory requirements are two key features achieved in this work. Distributed parallel computing can further be implemented to achieve mass parallelism through which one can solve large problems accurately and efficiently when compared to benchmark fine scale solutions where global system solver, memory requirements and execution time become significant issues.
Book Synopsis Multigrid Methods by : Ulrich Trottenberg
Download or read book Multigrid Methods written by Ulrich Trottenberg and published by Academic Press. This book was released on 2001 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Book Synopsis Multigrid Methods by : James H Bramble
Download or read book Multigrid Methods written by James H Bramble and published by Routledge. This book was released on 2019-01-22 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.
Book Synopsis Multigrid Techniques by : Achi Brandt
Download or read book Multigrid Techniques written by Achi Brandt and published by SIAM. This book was released on 2011-07-07 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition of a classic text presents the best practices of developing multigrid solvers for large-scale computational problems. This book will be useful to practitioners and researchers, as well as students and instructors, in many areas of computational science and engineering, applied mathematics and numerical analysis.
Book Synopsis Multigrid Methods by : Stephen F. McCormick
Download or read book Multigrid Methods written by Stephen F. McCormick and published by SIAM. This book was released on 1987-12-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoughtful consideration of the current level of development of multigrid methods, this volume is a carefully edited collection of papers that addresses its topic on several levels. The first three chapters orient the reader who is familiar with standard numerical techniques to multigrid methods, first by discussing multigrid in the context of standard techniques, second by detailing the mechanics of use of the method, and third by applying the basic method to some current problems in fluid dynamics. The fourth chapter provides a unified development, complete with theory, of algebraic multigrid (AMG), which is a linear equation solver based on multigrid principles. The last chapter is an ambitious development of a very general theory of multigrid methods for variationally posed problems. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid.
Book Synopsis Parallel Multigrid Algorithms for Unstructured 3D Large Deformation Elasticity and Plasticity Finite Element Problems by : Mark Adams
Download or read book Parallel Multigrid Algorithms for Unstructured 3D Large Deformation Elasticity and Plasticity Finite Element Problems written by Mark Adams and published by . This book was released on 1999 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Robust Multigrid Technique by : Sergey I. Martynenko
Download or read book The Robust Multigrid Technique written by Sergey I. Martynenko and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-09-25 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential multigrid principle in a single grid algorithm. It results in an extremely simple, very robust and highly parallel solver with close-to-optimal algorithmic complexity and the least number of problem-dependent components. Topics covered include an introduction to the mathematical principles of multigrid methods, a detailed description of RMT, results of convergence analysis and complexity, possible expansion on unstructured grids, numerical experiments and a brief description of multigrid software, parallel RMT and estimations of speed-up and efficiency of the parallel multigrid algorithms, and finally applications of RMT for the numerical solution of the incompressible Navier Stokes equations. Potential readers are graduate students and researchers working in applied and numerical mathematics as well as multigrid practitioners and software programmers. Contents Introduction to multigrid Robust multigrid technique Parallel multigrid methods Applications of multigrid methods in computational fluid dynamics
Book Synopsis Parallel Performance of Some Multigrid Solvers for Three-dimensional Parabolic Equations by : Michael Holst
Download or read book Parallel Performance of Some Multigrid Solvers for Three-dimensional Parabolic Equations written by Michael Holst and published by . This book was released on 1991 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: We examine the effect of the step size on the convergence rates of multigrid, and present results of experiments on two parallel architectures: a four processor Cray Y-MP and a fourteen processor Alliant FX/2800. Our results demonstrate that multigrid can achieve very high parallel efficiency on coarse-grained shared memory machines, and that explicit methods are not likely to be competitive with multigrid based implicit methods on such machines."
Book Synopsis Three-dimensional High-lift Analysis Using a Parallel Unstructured Multigrid Solver by : Dimitri J. Mavriplis
Download or read book Three-dimensional High-lift Analysis Using a Parallel Unstructured Multigrid Solver written by Dimitri J. Mavriplis and published by . This book was released on 1998 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Multi-grid Based Solver for Mixed Finite-element Approximations to Groundwater Flow by : Myron B. Allen
Download or read book A Multi-grid Based Solver for Mixed Finite-element Approximations to Groundwater Flow written by Myron B. Allen and published by . This book was released on 1992 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Development of a Parallel Multigrid Field Solver for Large-scale Particle-in-cell Applications by : Michael Becker
Download or read book Development of a Parallel Multigrid Field Solver for Large-scale Particle-in-cell Applications written by Michael Becker and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Performance of Algebraic Multigrid Preconditioners for Large-Scale Finite Element Simulations by :
Download or read book Performance of Algebraic Multigrid Preconditioners for Large-Scale Finite Element Simulations written by and published by . This book was released on 2015 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Large-scale Density-driven Flow Simulation Using Parallel Unstructured Grid Adaptation and Local Multigrid Methods by : Stefan Lang
Download or read book Large-scale Density-driven Flow Simulation Using Parallel Unstructured Grid Adaptation and Local Multigrid Methods written by Stefan Lang and published by . This book was released on 2004 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Large-Scale Parallel Viscous Flow Computations Using an Unstructured Multigrid Algorithm by : Dimitri J. Mavriplis
Download or read book Large-Scale Parallel Viscous Flow Computations Using an Unstructured Multigrid Algorithm written by Dimitri J. Mavriplis and published by . This book was released on 1999 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development and testing of a parallel unstructured agglomeration multigrid algorithm for steady-state aerodynamic flows is discussed. The agglomeration multigrid strategy uses a graph algorithm to construct the coarse multigrid levels from the given fine grid, similar to an algebraic multigrid approach, but operates directly on the non-linear system using the FAS approach. The scalability and convergence rate of the multigrid algorithm are examined on the SGI Origin 2000 and the Cray T3E. An argument is given which indicates that the asymptotic scalability of the multigrid algorithm should be similar to that of its underlying single grid smoothing scheme. For medium size problems involving several million grid points, near perfect scalability is obtained for the single grid algorithm, while only a slight drop-off in parallel efficiency is observed for the multigrid V- and W-cycles, using up to 128 processors on the SGI Origin 2000, and up to 512 processors on the Cray T3E. For a large problem using 25 million grid points, good scalability is observed for the multigrid algorithm using up to 1450 processors on a Cray T3E, even when the coarsest grid level contains fewer points than the total number of processors.
Book Synopsis A Parallel Multigrid Solver for Viscous Flows on Anisotropic Structured Grids by : Manuel Prieto
Download or read book A Parallel Multigrid Solver for Viscous Flows on Anisotropic Structured Grids written by Manuel Prieto and published by . This book was released on 2001 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper presents an efficient parallel multigrid solver for speeding up the computation of a 3-D model that treats the flow of a viscous fluid over a flat plate. The main interest of this simulation lies in exhibiting some basic difficulties that prevent optimal multigrid efficiencies from being achieved. As the computing platform, we have used Coral, a Beowulf-class system based on Intel Pentium processors and equipped with GigaNet cLAN and switched Fast Ethernet networks. Our study not only examines the scalability of the solver but also includes a performance evaluation of Coral where the investigated solver has been used to compare several of its design choices, namely, the interconnection network (GigaNet versus switched Fast-Ethernet) and the node configuration (dual nodes versus single nodes). As a reference, the performance results have been compared with those obtained with the NAS-MG benchmark."
