Parallel Performance of Some Multigrid Solvers for Three-dimensional Parabolic Equations PDF Download
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Author: Michael Holst
Publisher:
ISBN:
Category : Computer architecture
Languages : en
Pages : 38
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Book Description
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."
Author: Michael Holst
Publisher:
ISBN:
Category : Computer architecture
Languages : en
Pages : 38
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Book Description
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."
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 438
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 432
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Author: Michael Holst
Publisher:
ISBN:
Category : Multigrid methods (Numerical analysis)
Languages : en
Pages : 26
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Book Description
Abstract: "A multigrid method is presented for the numerical solution of the linearized Poisson-Boltzmann equation arising in molecular biophysics. The equation is discretized with the finite volume method, and the numerical solution of the discrete equations is accomplished with multiple grid techniques originally developed for two-dimensional interface problems occurring in reactor physics. A detailed analysis of the resulting method is presented for several computer architectures, including comparisons to diagonally scaled CG, ICCG, vectorized ICCG and MICCG, and to SOR provided with an optimal relaxation parameter. Our results indicate that the multigrid method is superior to the preconditioned CG methods and SOR, and that the advantage of multigrid grows with the problem size."
Author: Richard L. Lau
Publisher: North Holland
ISBN: 9780444897619
Category : Computers
Languages : en
Pages : 476
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Book Description
Part of a two-volume set comprising the proceedings of a symposium on computational acoustics, this volume focuses on scattering, supercomputing and propagation. Coverage of the set ranges from time-domain computations to the search for solutions to global extrema and inverse problems.
Author: Roman Wyrzykowski
Publisher: Springer
ISBN: 3319780247
Category : Computers
Languages : en
Pages : 669
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Book Description
The two-volume set LNCS 10777 and 10778 constitutes revised selected papers from the 12th International Conference on Parallel Processing and Applied Mathematics, PPAM 2017, held in Lublin, Poland, in September 2017. The 49 regular papers presented in this volume were selected from 98 submissions. For the workshops and special sessions, that were held as integral parts of the PPAM 2017 conference, a total of 51 papers was accepted from 75 submissions. The papers were organized in topical sections named as follows: Part I: numerical algorithms and parallel scientific computing; particle methods in simulations; task-based paradigm of parallel computing; GPU computing; parallel non-numerical algorithms; performance evaluation of parallel algorithms and applications; environments and frameworks for parallel/distributed/cloud computing; applications of parallel computing; soft computing with applications; and special session on parallel matrix factorizations. Part II: workshop on models, algorithms and methodologies for hybrid parallelism in new HPC systems; workshop power and energy aspects of computations (PEAC 2017); workshop on scheduling for parallel computing (SPC 2017); workshop on language-based parallel programming models (WLPP 2017); workshop on PGAS programming; minisymposium on HPC applications in physical sciences; minisymposium on high performance computing interval methods; workshop on complex collective systems.
Author: Pekka Manninen
Publisher: Springer
ISBN: 3642368034
Category : Computers
Languages : en
Pages : 569
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Book Description
This volume constitutes the refereed proceedings of the 11th International Conference on Applied Parallel and Scientific Computing, PARA 2012, held in Helsinki, Finland, in June 2012. The 35 revised full papers presented were selected from numerous submissions and are organized in five technical sessions covering the topics of advances in HPC applications, parallel algorithms, performance analyses and optimization, application of parallel computing in industry and engineering, and HPC interval methods. In addition, three of the topical minisymposia are described by a corresponding overview article on the minisymposia topic. In order to cover the state-of-the-art of the field, at the end of the book a set of abstracts describe some of the conference talks not elaborated into full articles.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 700
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Author: Michael Jay Holst
Publisher:
ISBN:
Category : Amyotrophic lateral sclerosis
Languages : en
Pages : 564
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Book Description
Multilevel convergence theory is discussed, and we adapt and apply some recent results to the Galerkin-based methods. Numerical results arepresented for several test problems, including a nonlinear PBE calculation of the electrostatic potential of Superoxide Dismutase, an enzymewhich has recently been linked to Lou Gehrig's disease. We present a collection of performance statistics and benchmarks for the linear andnonlinear methods on a number of sequential and parallel computers, and discuss the software developed in the course of the research."
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 202
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Book Description
