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Author : Michael A. Heroux
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.:/5 (229 download)
Download or read book The Fast Adaptive Composite Grid Method for Time Dependent Problems written by Michael A. Heroux and published by . This book was released on 1989 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen McCormick
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (227 download)
Download or read book Algebraic Multigrid and the Fast Adaptive Composite Grid Method in Large Scale Computation written by Stephen McCormick and published by . This book was released on 1986 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report describes research undertaken at the Research Institute of Colorado on two computational mathematics topics: algebraic multigrid (AMG), and the fast adaptive composite grid method (FAC). Conventional or geometric multigrid algorithms depend on knowledge of the underlying geometry for a given problem (e.g., a partial differential equation). This knowledge is used to predetermine coarser grids and the attendant operators and intergrid transfers. Although very efficient solvers can be developed in this way, the dissemination and use of geometric multigrid have been impeded by the need to tailor the algorithm to each application. A fairly general black box solver based on multigrid principles would be useful in overcoming these difficulties. The second project area was the study of FAC in the context of multiprocessor computer systems. FAC is developed for elliptic equations.
Author : Jan Mandel
Publisher : SIAM
ISBN 13 : 9780898712483
Total Pages : 462 pages
Book Rating : 4.7/5 (124 download)
Download or read book Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods written by Jan Mandel and published by SIAM. This book was released on 1989-01-01 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Adaptive-grid Methods for Time-dependent Partial Differential Equations written by and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper contains a survey of recent developments of adaptive-grid algorithms for time-dependent partial differential equations. Two lines of research are discussed. One involves the automatic selection of moving grids to follow propagating waves. The other is based on stationary grids but uses local mesh refinement in both space and time. Advantages and disadvantages of both approaches are discussed. The development of adaptive-grid schemes shows promise of greatly increasing our ability to solve problems in several spatial dimensions.
Author : Steven M. McKay
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (231 download)
Download or read book Adaptive Methods Applied to the Fast Adaptive Composite Grid Method written by Steven M. McKay and published by . This book was released on 1990 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.W. Thomas
Publisher : Springer Science & Business Media
ISBN 13 : 1461205697
Total Pages : 573 pages
Book Rating : 4.4/5 (612 download)
Download or read book Numerical Partial Differential Equations written by J.W. Thomas and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the theme of the first, this second volume continues the study of the uses and techniques of numerical experimentation in the solution of PDEs. It includes topics such as initial-boundary-value problems, a complete survey of theory and numerical methods for conservation laws, and numerical schemes for elliptic PDEs. The author stresses the use of technology and graphics throughout for both illustration and analysis.
Author : Osama N. Hamzeh
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (266 download)
Download or read book The Fast Adaptive Composite Grid Method in Finite Element Applications written by Osama N. Hamzeh and published by . This book was released on 1990 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen F. Mccormick
Publisher : CRC Press
ISBN 13 : 1000147223
Total Pages : 668 pages
Book Rating : 4.0/5 (1 download)
Download or read book multigrid methods written by Stephen F. Mccormick and published by CRC Press. This book was released on 2020-08-12 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.
Author : P. J. J. Ferket
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (688 download)
Download or read book The Finite Difference Based Fast Adaptive Composite Grid Method written by P. J. J. Ferket and published by . This book was released on 1995 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Oliger
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (317 download)
Download or read book Stability and Error Estimation for Component Adaptive Grid Methods written by Joseph Oliger and published by . This book was released on 1994 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Component adaptive grid (CAG) methods for solving hyperbolic partial differential equations (PDE's) are discussed in this paper. Applying recent stability results for a class of numerical methods on uniform grids, the convergence of these methods for linear problems on component adaptive grids is established here. Furthermore, the computational error can be estimated on CAG's using the stability results. Using these estimates, the error can be controlled on CAG's. Thus, the solution can be computed efficiently on CAG's within a given error tolerance. Computational results for time dependent linear problems in one and two space dimensions are presented."
Author : Wolfgang Joppich
Publisher : Springer Science & Business Media
ISBN 13 : 3709192536
Total Pages : 327 pages
Book Rating : 4.7/5 (91 download)
Download or read book Multigrid Methods for Process Simulation written by Wolfgang Joppich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was about 1985 when both of the authors started their work using multigrid methods for process simulation problems. This happened in dependent from each other, with a completely different background and different intentions in mind. At this time, some important monographs appeared or have been in preparation. There are the three "classical" ones, from our point of view: the so-called "1984 Guide" [12J by Brandt, the "Multi-Grid Methods and Applications" [49J by Hackbusch and the so-called "Fundamentals" [132J by Stiiben and Trottenberg. Stiiben and Trottenberg in [132J state a "delayed acceptance, resent ments" with respect to multigrid algorithms. They complain: "Nevertheless, even today's situation is still unsatisfactory in several respects. If this is true for the development of standard methods, it applies all the more to the area of really difficult, complex applications." In spite of all the above mentioned publications and without ignoring important theoretical and practical improvements of multigrid, this situa tion has not yet changed dramatically. This statement is made under the condition that a numerical principle like multigrid is "accepted", if there exist "professional" programs for research and production purposes. "Professional" in this context stands for "solving complex technical prob lems in an industrial environment by a large community of users". Such a use demands not only for fast solution methods but also requires a high robustness with respect to the physical parameters of the problem.
Author : L. Hart
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (256 download)
Download or read book The Fast Adaptive Composite Grid Method (FAC) written by L. Hart and published by . This book was released on 1985 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Hackbusch
Publisher : Springer Science & Business Media
ISBN 13 : 3663142469
Total Pages : 281 pages
Book Rating : 4.6/5 (631 download)
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.
Author : J.W. Thomas
Publisher : Springer Science & Business Media
ISBN 13 : 1489972781
Total Pages : 451 pages
Book Rating : 4.4/5 (899 download)
Download or read book Numerical Partial Differential Equations: Finite Difference Methods written by J.W. Thomas and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: What makes this book stand out from the competition is that it is more computational. Once done with both volumes, readers will have the tools to attack a wider variety of problems than those worked out in the competitors' books. The author stresses the use of technology throughout the text, allowing students to utilize it as much as possible.
Author : Bobby Philip
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.:/5 (51 download)
Download or read book Asynchronous Fast Adaptive Composite Grid Methods for Elliptic Problems on Adaptively-refined Curvilinear Grids written by Bobby Philip and published by . This book was released on 2001 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ulrich Trottenberg
Publisher : Academic Press
ISBN 13 : 9780127010700
Total Pages : 652 pages
Book Rating : 4.0/5 (17 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (227 download)
Download or read book The Fast Adaptive Composite Grid Method and Algebraic Multigrid in Large Scale Computation written by and published by . This book was released on 1991 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report documents the progress of the project over the last four years.
