Adaptive Mesh Refinement For Parallel Processors

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Adaptive Mesh Refinement - Theory and Applications

Author : Tomasz Plewa
Publisher : Springer Science & Business Media
ISBN 13 : 3540270396
Total Pages : 550 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Adaptive Mesh Refinement - Theory and Applications by : Tomasz Plewa

Download or read book Adaptive Mesh Refinement - Theory and Applications written by Tomasz Plewa and published by Springer Science & Business Media. This book was released on 2005-12-20 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.

Parallel Multilevel Methods

Author : Gerhard Zumbusch
Publisher : Springer Science & Business Media
ISBN 13 : 3322800636
Total Pages : 215 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Parallel Multilevel Methods by : Gerhard Zumbusch

Download or read book Parallel Multilevel Methods written by Gerhard Zumbusch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Main aspects of the efficient treatment of partial differential equations are discretisation, multilevel/multigrid solution and parallelisation. These distinct topics are covered from the historical background to modern developments. It is demonstrated how the ingredients can be put together to give an adaptive and parallel multilevel approach for the solution of elliptic boundary value problems. Error estimators and adaptive grid refinement techniques for ordinary and for sparse grid discretisations are presented. Different types of additive and multiplicative multilevel solvers are discussed with respect to parallel implementation and application to adaptive refined grids. Efficiency issues are treated both for the sequential multilevel methods and for the parallel version by hash table storage techniques. Finally, space-filling curve enumeration for parallel load balancing and processor cache efficiency are discussed.

Structured Adaptive Mesh Refinement (SAMR) Grid Methods

Author : Scott B. Baden
Publisher : Springer Science & Business Media
ISBN 13 : 9780387989211
Total Pages : 204 pages
Book Rating : 4.9/5 (892 download)

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Book Synopsis Structured Adaptive Mesh Refinement (SAMR) Grid Methods by : Scott B. Baden

Download or read book Structured Adaptive Mesh Refinement (SAMR) Grid Methods written by Scott B. Baden and published by Springer Science & Business Media. This book was released on 2000 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented here describe research to improve the general understanding of the application of SAMR to practical problems, to identify issues critical to efficient and effective implementation on high performance computers, and to stimulate the development of a community code repository for software including benchmarks to assist in the evaluation of software and compiler technologies. The ten chapters have been divided into two parts: programming complexity of SAMR algorithms and the applicability and numerical challenges of SAMR methods.

Parallel Processing for Scientific Computing

Author : G. Rodrigue
Publisher : SIAM
ISBN 13 : 9780898712285
Total Pages : 458 pages
Book Rating : 4.7/5 (122 download)

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Book Synopsis Parallel Processing for Scientific Computing by : G. Rodrigue

Download or read book Parallel Processing for Scientific Computing written by G. Rodrigue and published by SIAM. This book was released on 1989-01-01 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.

Parallel Processing for Scientific Computing

Author : Michael A. Heroux
Publisher : SIAM
ISBN 13 : 9780898718133
Total Pages : 421 pages
Book Rating : 4.7/5 (181 download)

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Book Synopsis Parallel Processing for Scientific Computing by : Michael A. Heroux

Download or read book Parallel Processing for Scientific Computing written by Michael A. Heroux and published by SIAM. This book was released on 2006-01-01 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallel processing has been an enabling technology in scientific computing for more than 20 years. This book is the first in-depth discussion of parallel computing in 10 years; it reflects the mix of topics that mathematicians, computer scientists, and computational scientists focus on to make parallel processing effective for scientific problems. Presently, the impact of parallel processing on scientific computing varies greatly across disciplines, but it plays a vital role in most problem domains and is absolutely essential in many of them. Parallel Processing for Scientific Computing is divided into four parts: The first concerns performance modeling, analysis, and optimization; the second focuses on parallel algorithms and software for an array of problems common to many modeling and simulation applications; the third emphasizes tools and environments that can ease and enhance the process of application development; and the fourth provides a sampling of applications that require parallel computing for scaling to solve larger and realistic models that can advance science and engineering.

Structured Adaptive Mesh Refinement (SAMR) Grid Methods

Author : Scott B. Baden
Publisher : Springer Science & Business Media
ISBN 13 : 1461212529
Total Pages : 187 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Structured Adaptive Mesh Refinement (SAMR) Grid Methods by : Scott B. Baden

Download or read book Structured Adaptive Mesh Refinement (SAMR) Grid Methods written by Scott B. Baden and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented here describe research to improve the general understanding of the application of SAMR to practical problems, to identify issues critical to efficient and effective implementation on high performance computers and to stimulate the development of a community code repository for software including benchmarks to assist in the evaluation of software and compiler technologies. The ten chapters have been divided into two parts reflecting two major issues in the topic: programming complexity of SAMR algorithms and the applicability and numerical challenges of SAMR methods.

Parallel Processing and Medium-scale Multiprocessors

Author : Arthur Wouk
Publisher : SIAM
ISBN 13 : 9780898712384
Total Pages : 232 pages
Book Rating : 4.7/5 (123 download)

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Book Synopsis Parallel Processing and Medium-scale Multiprocessors by : Arthur Wouk

Download or read book Parallel Processing and Medium-scale Multiprocessors written by Arthur Wouk and published by SIAM. This book was released on 1989-01-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.

Introduction to Numerical Geodynamic Modelling

Author : Taras Gerya
Publisher : Cambridge University Press
ISBN 13 : 0521887542
Total Pages : 359 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Introduction to Numerical Geodynamic Modelling by : Taras Gerya

Download or read book Introduction to Numerical Geodynamic Modelling written by Taras Gerya and published by Cambridge University Press. This book was released on 2010 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.

Euro-Par 2004 Parallel Processing

Author : Marco Danelutto
Publisher : Springer
ISBN 13 : 3540278664
Total Pages : 1113 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Euro-Par 2004 Parallel Processing by : Marco Danelutto

Download or read book Euro-Par 2004 Parallel Processing written by Marco Danelutto and published by Springer. This book was released on 2004-12-27 with total page 1113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euro-Par Conference Series Euro-Par is an annual series of international conferences dedicated to the p- motion and advancement of all aspectsof parallelcomputing. The major themes can be divided into the broad categories of hardware, software, algorithms and applications for parallel computing. The objective of Euro-Par is to provide a forum within which to promote the development of parallel computing both as an industrial technique and an academic discipline, extending the frontier of both the state of the art and the state of the practice. This is particularly - portant at a time when parallel computing is undergoing strong and sustained development and experiencing real industrial take-up. The main audience for, and participants at, Euro-Par are seen as researchers in academic departments, government laboratories and industrial organizations. Euro-Par’s objective is to be the primary choice of such professionals for the presentation of new - sults in their speci?c areas. Euro-Par also targets applications demonstrating the e?ectiveness of parallelism. This year’s Euro-Par conference was the tenth in the conference series. The previous Euro-Par conferences took place in Sto- holm, Lyon, Passau, Southampton, Toulouse, Munich, Manchester, Paderborn and Klagenfurt. Next year the conference will take place in Lisbon. Euro-Par has a permanent Web site hosting the aims, the organization structure details as well as all the conference history:http://www. europar. org.

Numerical Solution of Partial Differential Equations on Parallel Computers

Author : Are Magnus Bruaset
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.

Euro-Par 2001 Parallel Processing

Author : Rizos Sakellariou
Publisher : Springer
ISBN 13 : 3540446818
Total Pages : 993 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Euro-Par 2001 Parallel Processing by : Rizos Sakellariou

Download or read book Euro-Par 2001 Parallel Processing written by Rizos Sakellariou and published by Springer. This book was released on 2003-06-30 with total page 993 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euro-Par – the European Conference on Parallel Computing – is an international conference series dedicated to the promotion and advancement of all aspects of parallel computing. The major themes can be divided into the broad categories of hardware, software, algorithms, and applications for parallel computing. The objective of Euro-Par is to provide a forum within which to promote the dev- opment of parallel computing both as an industrial technique and an academic discipline, extending the frontiers of both the state of the art and the state of the practice. This is particularlyimportant at a time when parallel computing is undergoing strong and sustained development and experiencing real ind- trial take up. The main audience for and participants in Euro-Par are seen as researchers in academic departments, government laboratories, and industrial organisations. Euro-Par aims to become the primarychoice of such professionals for the presentation of new results in their speci?c areas. Euro-Par is also int- ested in applications that demonstrate the e?ectiveness of the main Euro-Par themes. Euro-Par has its own Internet domain with a permanent web site where the historyof the conference series is described: http://www. euro-par. org. The Euro-Par conference series is sponsored bythe Association of Computer Machineryand the International Federation of Information Processing. Euro-Par 2001 Euro-Par 2001 was organised bythe Universityof Manchester and UMIST.

Adaptive Methods — Algorithms, Theory and Applications

Author : W. Hackbusch
Publisher : Springer Science & Business Media
ISBN 13 : 3663142469
Total Pages : 281 pages
Book Rating : 4.6/5 (631 download)

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Book Synopsis Adaptive Methods — Algorithms, Theory and Applications by : W. Hackbusch

Download or read book Adaptive Methods — Algorithms, Theory and Applications written by W. Hackbusch and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The GAMM Committee for "Efficient Numerical Methods for Partial Differential Equations" organizes workshops on subjects concerning the algorithmical treat ment of partial differential equations. The topics are discretization methods like the finite element and finite volume method for various types of applications in structural and fluid mechanics. Particular attention is devoted to advanced solu tion techniques. th The series of such workshops was continued in 1993, January 22-24, with the 9 Kiel-Seminar on the special topic "Adaptive Methods Algorithms, Theory and Applications" at the Christian-Albrechts-University of Kiel. The seminar was attended by 76 scientists from 7 countries and 23 lectures were given. The list of topics contained general lectures on adaptivity, special discretization schemes, error estimators, space-time adaptivity, adaptive solvers, multi-grid me thods, wavelets, and parallelization. Special thanks are due to Michael Heisig, who carefully compiled the contribu tions to this volume. November 1993 Wolfgang Hackbusch Gabriel Wittum v Contents Page A. AUGE, G. LUBE, D. WEISS: Galerkin/Least-Squares-FEM and Ani- tropic Mesh Refinement. 1 P. BASTIAN, G. WmUM : Adaptive Multigrid Methods: The UG Concept. 17 R. BEINERT, D. KRONER: Finite Volume Methods with Local Mesh Alignment in 2-D. 38 T. BONK: A New Algorithm for Multi-Dimensional Adaptive Nume- cal Quadrature. 54 F.A. BORNEMANN: Adaptive Solution of One-Dimensional Scalar Conservation Laws with Convex Flux. 69 J. CANU, H. RITZDORF : Adaptive, Block-Structured Multigrid on Local Memory Machines. 84 S. DAHLKE, A. KUNaTH: Biorthogonal Wavelets and Multigrid. 99 B. ERDMANN, R.H.W. HOPPE, R.

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

Author : Ivo Babuska
Publisher : Springer Science & Business Media
ISBN 13 : 1461242487
Total Pages : 487 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations by : Ivo Babuska

Download or read book Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations written by Ivo Babuska and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.

Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing

Author : David H. Bailey
Publisher : SIAM
ISBN 13 : 9780898713442
Total Pages : 900 pages
Book Rating : 4.7/5 (134 download)

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Book Synopsis Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing by : David H. Bailey

Download or read book Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing written by David H. Bailey and published by SIAM. This book was released on 1995-01-01 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.

Polygon Mesh Processing

Author : Mario Botsch
Publisher : CRC Press
ISBN 13 : 1568814267
Total Pages : 244 pages
Book Rating : 4.5/5 (688 download)

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Book Synopsis Polygon Mesh Processing by : Mario Botsch

Download or read book Polygon Mesh Processing written by Mario Botsch and published by CRC Press. This book was released on 2010-10-07 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry processing, or mesh processing, is a fast-growing area of research that uses concepts from applied mathematics, computer science, and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation, and transmission of complex 3D models. Applications of geometry processing algorithms already cover a wide range of areas from multimedia, entertainment, and classical computer-aided design, to biomedical computing, reverse engineering, and scientific computing. Over the last several years, triangle meshes have become increasingly popular, as irregular triangle meshes have developed into a valuable alternative to traditional spline surfaces. This book discusses the whole geometry processing pipeline based on triangle meshes. The pipeline starts with data input, for example, a model acquired by 3D scanning techniques. This data can then go through processes of error removal, mesh creation, smoothing, conversion, morphing, and more. The authors detail techniques for those processes using triangle meshes. A supplemental website contains downloads and additional information.

Parallel Processing and Applied Mathematics

Author : Roman Wyrzykowski
Publisher : Springer Science & Business Media
ISBN 13 : 3540681051
Total Pages : 1437 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Parallel Processing and Applied Mathematics by : Roman Wyrzykowski

Download or read book Parallel Processing and Applied Mathematics written by Roman Wyrzykowski and published by Springer Science & Business Media. This book was released on 2008-05-26 with total page 1437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Parallel Processing and Applied Mathematics, PPAM 2007, held in Gdansk, Poland, in September 2007. The 63 revised full papers of the main conference presented together with 85 revised workshop papers were carefully reviewed and selected from over 250 initial submissions. The papers are organized in topical sections on parallel/distributed architectures and mobile computing, numerical algorithms and parallel numerics, parallel and distributed non-numerical algorithms, environments and tools for as well as applications of parallel/distributed/grid computing, evolutionary computing, meta-heuristics and neural networks. The volume proceeds with the outcome of 11 workshops and minisymposia dealing with novel data formats and algorithms for dense linear algebra computations, combinatorial tools for parallel sparse matrix computations, grid applications and middleware, large scale computations on grids, models, algorithms and methodologies for grid-enabled computing environments, scheduling for parallel computing, language-based parallel programming models, performance evaluation of parallel applications on large-scale systems, parallel computational biology, high performance computing for engineering applications, and the minisymposium on interval analysis.

Quantitative Phase Field Modelling of Solidification

Author : Nikolas Provatas
Publisher : CRC Press
ISBN 13 : 1000435059
Total Pages : 153 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Quantitative Phase Field Modelling of Solidification by : Nikolas Provatas

Download or read book Quantitative Phase Field Modelling of Solidification written by Nikolas Provatas and published by CRC Press. This book was released on 2021-10-13 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a study of phase field modelling of solidification in metal alloy systems. It is divided in two main themes. The first half discusses several classes of quantitative multi-order parameter phase field models for multi-component alloy solidification. These are derived in grand potential ensemble, thus tracking solidification in alloys through the evolution of the chemical potentials of solute species rather than the more commonly used solute concentrations. The use of matched asymptotic analysis for making phase field models quantitative is also discussed at length, and derived in detail in order to make this somewhat abstract topic accessible to students. The second half of the book studies the application of phase field modelling to rapid solidification where solute trapping and interface undercooling follow highly non-equilibrium conditions. In this limit, matched asymptotic analysis is used to map phase field evolution equations onto the continuous growth model, which is generally accepted as a sharp-interface description of solidification at rapid solidification rates. This book will be of interest to graduate students and researchers in materials science and materials engineering. Key Features Presents a clear path to develop quantitative multi-phase and multi-component phase field models for solidification and other phase transformation kinetics Derives and discusses the quantitative nature of the model formulations through matched interface asymptotic analysis Explores a framework for quantitative treatment of rapid solidification to control solute trapping and solute drag dynamics