Multigrid Methods, Mccorm

Автор: Stephen F. McCormick
Название: Multigrid Methods
ISBN: 1611971888 ISBN-13(EAN): 9781611971880
Издательство: Mare Nostrum (Eurospan)
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Цена: 83600.00 T
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Описание: 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. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid.

Автор: Erik Dick; Kris Riemslagh; Jan Vierendeels
Название: Multigrid Methods VI
ISBN: 3540671579 ISBN-13(EAN): 9783540671572
Издательство: Springer
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Описание: This volume contains 39 of the papers presented at the Sixth European Multi- grid Conference, held in Gent, September 27-30, 1999. There were 61 regis- tered participants from 12 different countries and 50 presentations were given. Earlier European Multigrid Conferences were held in Cologne in 1981 and 1985, in Bonn in 1990, in Amsterdam in 1993 and in Stuttgart in 1996. The next European Multigrid Conference is planned for 2002 in Heidelberg. The Sixth European Multigrid Conference was organized by the Depart- ment of Flow, Heat and Combustion Mechanics from Ghent University. The topics treated on the conference covered all aspects of Multigrid Methods: the- ory, analysis, computer implementation, applications in the fields of physics, chemistry, fluid mechanics, structural mechanics, magnetism, . . . Gent, December 1999 Erik Dick, Kris Riemslagh, Jan Vierendeels Table of Contents Invited Contributions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Multigrid Strategies for CFD Problems on Non-Structured Meshes . . . . 1 G. Carre, G. Carte, H. Guillard, S. Lanteri Detection of Strong Coupling in Algebraic Multigrid Solvers. . . . . . . . . . 11 T. F. Chan, P. Vanek Steady Euler Solutions in O(N) Operations. . . . . . . . . . . . . . . . . . . . . . . . . 24 B. van Leer, D. Darmofal The Acceleration of Multigrid Convergence by Recombination Techniques 34 C. W. Oosterlee, R. Wienands, T. Washio, F. J. Gaspar Other Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Turbomachinery Computations on Parallel Computers Using a Mul- grid Method. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 A. Arnone, P. Boncinelli, M. Marconcini Approximate Schur Complement Multilevel Methods for General Sparse Systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 M. Benzi, M. DeLong A Multigrid Approach to the Optimal Control of Solid Fuel Ignition Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Автор: Sergey I. Martynenko
Название: The Robust Multigrid Technique: For Black-Box Software
ISBN: 3110537559 ISBN-13(EAN): 9783110537550
Издательство: Walter de Gruyter
Цена: 123910.00 T
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Описание:

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.

Автор: Ulrich Trottenberg
Название: Multigrid,
ISBN: 012701070X ISBN-13(EAN): 9780127010700
Издательство: Elsevier Science
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Цена: 94320.00 T
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Описание: Presents an elementary introduction to multigrid methods for solving partial differential equations, and a survey of advanced multigrid techniques and real-life applications. This book is suitable for researchers in scientific disciplines including physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and many others.