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multigrid methods

multigrid methods
Author: Stephen F. Mccormick
Publisher: CRC Press
Total Pages: 665
Release: 2020-08-11
Genre: Mathematics
ISBN: 100010379X

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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.


A Multigrid Tutorial

A Multigrid Tutorial
Author: William L. Briggs
Publisher: SIAM
Total Pages: 318
Release: 2000-07-01
Genre: Mathematics
ISBN: 9780898714623

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Mathematics of Computing -- Numerical Analysis.


Multigrid Methods

Multigrid Methods
Author: W. Hackbusch
Publisher: Springer
Total Pages: 664
Release: 2006-11-15
Genre: Mathematics
ISBN: 354039544X

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multigrid methods

multigrid methods
Author: Stephen F. Mccormick
Publisher: CRC Press
Total Pages: 668
Release: 2020-08-12
Genre: Mathematics
ISBN: 1000147223

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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.


Multi-Grid Methods and Applications

Multi-Grid Methods and Applications
Author: Wolfgang Hackbusch
Publisher: Springer Science & Business Media
Total Pages: 391
Release: 2013-03-09
Genre: Mathematics
ISBN: 3662024276

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Multi-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehensive convergence analysis. One section describes special applications (convection-diffusion equations, singular perturbation problems, eigenvalue problems, etc.). The book also contains a complete presentation of the multi-grid method of the second kind, which has important applications to integral equations (e.g. the "panel method") and to numerous other problems. Readers with a practical interest in multi-grid methods will benefit from this book as well as readers with a more theoretical interest.


Multigrid Methods

Multigrid Methods
Author: James H Bramble
Publisher: Routledge
Total Pages: 176
Release: 2019-01-22
Genre: Mathematics
ISBN: 1351429868

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Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.


New Coarse Grid Operators for Highly Oscillatory Coefficient Elliptic Problems

New Coarse Grid Operators for Highly Oscillatory Coefficient Elliptic Problems
Author: Björn Engquist
Publisher:
Total Pages: 18
Release: 1995
Genre: Finite differences
ISBN:

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Abstract: "New coarse grid operators are developed for elliptic problems with highly oscillatory coefficients. The new coarse grid operators are constructed directly based on the homogenized differential operators or hierarchically computed from the finest grid. A detailed description of this construction is provided. Numerical calculations for a two dimensional elliptic model problem show that the homogenized form of the equations is very useful in the design of coarse grid operators for the multigrid method. A more realistic problem of heat conduction in a composite structure is also considered."


Multigrid Methods III

Multigrid Methods III
Author: HACKBUSCH
Publisher: Birkhäuser
Total Pages: 394
Release: 2013-11-22
Genre: Science
ISBN: 3034857128

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These proceedings contain a selection of papers presented at the Third European Conference on Multigrid Methods which was held in Bonn on October 1-4, 1990. Following conferences in 1981 and 1985, a platform for the presentation of new Multigrid results was provided for a third time. Multigrid methods no longer have problems being accepted by numerical analysts and users of numerical methods; on the contrary, they have been further developed in such a successful way that they have penetrated a variety of new fields of application. The high number of 154 participants from 18 countries and 76 presented papers show the need to continue the series of the European Multigrid Conferences. The papers of this volume give a survey on the current Multigrid situation; in particular, they correspond to those fields where new developments can be observed. For example, se veral papers study the appropriate treatment of time dependent problems. Improvements can also be noticed in the Multigrid approach for semiconductor equations. The field of parallel Multigrid variants, having been started at the second European Multigrid Conference, is now at the centre of interest.