Download or read book Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations written by R. Glowinski and published by SIAM. This book was released on 1991-01-01 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on the notion that by breaking the domain of the original problem into subdomains, such an approach can, if properly implemented, lead to a considerable speedup. The methods are particularly well suited for parallel computers.

Download or read book Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing written by J. J. Dongarra and published by SIAM. This book was released on 1992-01-01 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text gives the proceedings for the fifth conference on parallel processing for scientific computing.

Download or read book Multigrid Methods IV written by P.W. Hemker and published by Birkhäuser. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection from the papers presented at the Fourth European Multigrid Conference, held in Amsterdam, July 6-9,1993. There were 78 registered participants from 14 different countries, and 56 presentations were given. The preceding conferences in this series were held in Cologne (1981, 1985) and in Bonn (1990). Also at the other side of the Atlantic special multigrid conferences are held regularly, at intervals of two years, always in Copper Mountain, Colorado, US. The Sixth Copper Mountain Conference on Multigrid Methods took place in April, 1993. Circumstances prevented us from putting a larger time interval between the Copper and Amsterdam meetings. The next European meeting is planned in 1996, a year later than the next Copper Meeting. When the first multigrid conference was held in 1981 there was no doubt about the usefulness of a conference dedicated specially to multigrid, because multigrid was a new and relatively unexplored subject, still in a pioneering stage, and pursued by specialists. The past twenty years have shown a rapid growth in theoretical understanding, useful applications and widespread acceptance of multi grid in the applied disciplines. Hence, one might ask whether there is still a need today for conferences specially dedicated to multigrid. The general consensus is that the answer is affirmative. New issues have arisen that are best addressed or need also be addressed from a special multigrid point of view.

Download or read book Computation and Applied Mathematics written by and published by . This book was released on 1995 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Optimization in Solving Elliptic Problems written by Eugene G. D'yakonov and published by CRC Press. This book was released on 2018-05-04 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization in Solving Elliptic Problems focuses on one of the most interesting and challenging problems of computational mathematics - the optimization of numerical algorithms for solving elliptic problems. It presents detailed discussions of how asymptotically optimal algorithms may be applied to elliptic problems to obtain numerical solutions meeting certain specified requirements. Beginning with an outline of the fundamental principles of numerical methods, this book describes how to construct special modifications of classical finite element methods such that for the arising grid systems, asymptotically optimal iterative methods can be applied. Optimization in Solving Elliptic Problems describes the construction of computational algorithms resulting in the required accuracy of a solution and having a pre-determined computational complexity. Construction of asymptotically optimal algorithms is demonstrated for multi-dimensional elliptic boundary value problems under general conditions. In addition, algorithms are developed for eigenvalue problems and Navier-Stokes problems. The development of these algorithms is based on detailed discussions of topics that include accuracy estimates of projective and difference methods, topologically equivalent grids and triangulations, general theorems on convergence of iterative methods, mixed finite element methods for Stokes-type problems, methods of solving fourth-order problems, and methods for solving classical elasticity problems. Furthermore, the text provides methods for managing basic iterative methods such as domain decomposition and multigrid methods. These methods, clearly developed and explained in the text, may be used to develop algorithms for solving applied elliptic problems. The mathematics necessary to understand the development of such algorithms is provided in the introductory material within the text, and common specifications of algorithms that have been developed for typical problems in mathema

Download or read book Selected Papers CWI IMACS Symposia on Parallel Scientific Computing written by and published by . This book was released on 1991 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Applications on Advanced Architecture Computers written by Greg Astfalk and published by SIAM. This book was released on 1996-01-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume conveniently brings together updated versions of 30 articles that originally appeared in SIAM News from 1990 to 1995. The objective of the column from which the articles are taken is to present applications that have been successfully treated on advanced architecture computers. Astfalk edits this popular series of articles in SIAM's flagship publication, SIAM News. Algorithmic issues addressed are those which have found general use in building parallel codes for solving problems. In addition to updates that reflect advances and changes in the field of applications on advanced architecture computers, Astfalk has added an index and introductory comments to each article, making this book cohesive and interesting to practitioners and researchers alike.

Download or read book Mathematical Reviews written by and published by . This book was released on 1992 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Abstracts written by and published by . This book was released on 1993 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Euler and Navier Stokes Solvers Using Multi dimensional Upwind Schemes and Multigrid Acceleration written by Herman Deconinck and published by Friedr Vieweg & Sohn Verlagsgesellschaft. This book was released on 1997 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Transactions of the American Nuclear Society written by American Nuclear Society and published by . This book was released on 1990 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Sixth Copper Mountain Conference on Multigrid Methods Part 2 written by and published by . This book was released on 1993 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computational and Applied Mathematics written by and published by . This book was released on 1995 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book BIT written by and published by . This book was released on 2003 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book IBM Journal of Research and Development written by and published by . This book was released on 1992 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mapping Robust Parallel Multigrid Algorithms to Scalable Memory Architectures written by Andrea L. Overman and published by . This book was released on 1993 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "The convergence rate of standard multigrid algorithms degenerates on problems with stretched grids or anisotropic operators. The usual cure for this is the use of line or plane relaxation. However, multigrid algorithms based on line and plane relaxation have limited and awkward parallelism and are quite difficult to map effectively to highly parallel architectures. Newer multigrid algorithms that overcome anisotropy through the use of multiple coarse grids rather than line relaxation are better suited to massively parallel architectures because they require only simple point-relaxation smoothers. In this paper, we look at the parallel implementation of a V-cycle multiple semicoarsened grid (MSG) algorithm on distributed-memory architectures such as the Intel iPSC/860 and Paragon computers. The MSG algorithms provide two levels of parallelism: parallelism within the relaxation or interpolation on each grid and across the grids on each multigrid level. Both levels of parallelism must be exploited to map these algorithms effectively to parallel architectures. This paper describes a mapping of an MSG algorithm to distributed-memory architectures that demonstrates how both levels of parallelism can be exploited. The result is a robust and effective multigrid algorithm for distributed-memory machines."

Download or read book Proceedings of the Thirteenth Annual ACM Symposium on Principles of Distributed Computing written by and published by Association for Computing Machinery (ACM). This book was released on 1994 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: