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Author : Wang Chean Tan
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (958 download)
Download or read book Solving Poisson Equation Using Multigrid Method V Cycle written by Wang Chean Tan and published by . This book was released on 2006 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kah Loon Chan
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (958 download)
Download or read book Solving Poisson Equation Using Multigrid Method (W-Cycle) written by Kah Loon Chan and published by . This book was released on 2006 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Taras Gerya
Publisher : Cambridge University Press
ISBN 13 : 0521887542
Total Pages : 359 pages
Book Rating : 4.5/5 (218 download)
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.
Author : Yair Shapira
Publisher : Springer Science & Business Media
ISBN 13 : 0387497641
Total Pages : 315 pages
Book Rating : 4.3/5 (874 download)
Download or read book Matrix-Based Multigrid written by Yair Shapira and published by Springer Science & Business Media. This book was released on 2008-07-02 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix-Based Multigrid introduces and analyzes the multigrid approach for the numerical solution of large sparse linear systems arising from the discretization of elliptic partial differential equations. Special attention is given to the powerful matrix-based-multigrid approach, which is particularly useful for problems with variable coefficients and nonsymmetric and indefinite problems. This book can be used as a textbook in courses in numerical analysis, numerical linear algebra, and numerical PDEs at the advanced undergraduate and graduate levels in computer science, math, and applied math departments. The theory is written in simple algebraic terms and therefore requires preliminary knowledge only in basic linear algebra and calculus.
Author : William L. Briggs
Publisher : SIAM
ISBN 13 : 0898714621
Total Pages : 196 pages
Book Rating : 4.8/5 (987 download)
Download or read book A Multigrid Tutorial written by William L. Briggs and published by SIAM. This book was released on 2000-07-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : Ulrich Trottenberg
Publisher : Elsevier
ISBN 13 : 0080479561
Total Pages : 648 pages
Book Rating : 4.0/5 (84 download)
Download or read book Multigrid written by Ulrich Trottenberg and published by Elsevier. This book was released on 2000-11-20 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multigrid presents both an elementary introduction to multigrid methods for solving partial differential equations and a contemporary survey of advanced multigrid techniques and real-life applications.Multigrid methods are invaluable to researchers in scientific disciplines including physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and all engineering disciplines. They are also becoming increasingly important in economics and financial mathematics.Readers are presented with an invaluable summary covering 25 years of practical experience acquired by the multigrid research group at the Germany National Research Center for Information Technology. The book presents both practical and theoretical points of view. * Covers the whole field of multigrid methods from its elements up to the most advanced applications* Style is essentially elementary but mathematically rigorous* No other book is so comprehensive and written for both practitioners and students
Author : Krishna Prasad M. Varadarajan
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (291 download)
Download or read book Solution of Poisson Equation Using Multigrid Methods written by Krishna Prasad M. Varadarajan and published by . This book was released on 1992 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Hackbusch
Publisher : Springer
ISBN 13 : 354039544X
Total Pages : 664 pages
Book Rating : 4.5/5 (43 download)
Download or read book Multigrid Methods written by W. Hackbusch and published by Springer. This book was released on 2006-11-15 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Hackbusch
Publisher : Springer Science & Business Media
ISBN 13 : 3662024276
Total Pages : 391 pages
Book Rating : 4.6/5 (62 download)
Download or read book Multi-Grid Methods and Applications written by Wolfgang Hackbusch and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Wolfgang Hackbusch
Publisher : Springer
ISBN 13 : 3540473726
Total Pages : 342 pages
Book Rating : 4.5/5 (44 download)
Download or read book Multigrid Methods II written by Wolfgang Hackbusch and published by Springer. This book was released on 2006-11-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen F. Mccormick
Publisher : CRC Press
ISBN 13 : 100010379X
Total Pages : 665 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 2020-08-11 with total page 665 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 : D. J. Paddon
Publisher :
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.:/5 (5 download)
Download or read book Multigrid Methods for Integral and Differential Equations written by D. J. Paddon and published by . This book was released on 1985 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Levels and scales; Multigrid methods of the second kind; Some implementations of multigrid linear system solvers; Multigride and conjugate gradient methods as convergence acceleration techniques; Efficient solution of finite difference and finite element equations; Algebraic formalisation of the multigrid method in the symmetric and positive definite case - a convergence estimation for the V-Cycle; A variational theory for Multi-level adaptive techniques; Spectral multigrid methods for dirichlet problems; MG techniques for staggered differences; Multigrid analysis of linear elastic stress problems; Multigrid methods for oil reservoir simulation in three dimensions; A multigrid algorithm using a hierarchical finite element basis.
Author : Choong Yee Wong
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (958 download)
Download or read book Solving Poisson Equation Using Different Relaxation Method in Multigrid written by Choong Yee Wong and published by . This book was released on 2006 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans-Joachim Bungartz
Publisher : Springer Nature
ISBN 13 : 3030479560
Total Pages : 624 pages
Book Rating : 4.0/5 (34 download)
Download or read book Software for Exascale Computing - SPPEXA 2016-2019 written by Hans-Joachim Bungartz and published by Springer Nature. This book was released on 2020-07-30 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book summarizes the research done and results obtained in the second funding phase of the Priority Program 1648 "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) presented at the SPPEXA Symposium in Dresden during October 21-23, 2019. In that respect, it both represents a continuation of Vol. 113 in Springer’s series Lecture Notes in Computational Science and Engineering, the corresponding report of SPPEXA’s first funding phase, and provides an overview of SPPEXA’s contributions towards exascale computing in today's sumpercomputer technology. The individual chapters address one or more of the research directions (1) computational algorithms, (2) system software, (3) application software, (4) data management and exploration, (5) programming, and (6) software tools. The book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.
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 : Peter Edwin van Keken
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (322 download)
Download or read book Notes on a Data Parallel Implementation of a Multigrid Method to Solve Poisson's Equation in 2D written by Peter Edwin van Keken and published by . This book was released on 1994 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xinchen Guo
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (911 download)
Download or read book Algebraic Multigrid Poisson Equation Solver written by Xinchen Guo and published by . This book was released on 2015 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: From 2D planar MOSFET to 3D FinFET, the geometry of semiconductor devices is getting more and more complex. Correspondingly, the number of mesh grid points increases largely to maintain the accuracy of carrier transport and heat transfer simulations. By substituting the conventional uniform mesh with non-uniform mesh, one can reduce the number of grid points. However, the problem of how to solve governing equations on non-uniform mesh is then imposed to the numerical solver. Moreover, if a device simulator is integrated into a multi-scale simulator, the problem size will be further increased. Consequently, there exist two challenges for the current numerical solver. One is to increase the functionality to accommodate non-uniform mesh. The other is to solve governing physical equations fast and accurately on a large number of mesh grid points. This research rst discusses a 2D planar MOSFET simulator and its numerical solver, pointing out its performance limit. By analyzing the algorithm complexity, Multigrid method is proposed to replace conventional Successive-Over-Relaxation method in a numerical solver. A variety of Multigrid methods (standard Multigrid, Algebraic Multigrid, Full Approximation Scheme, and Full Multigrid) are discussed and implemented. Their properties are examined through a set of numerical experiments. Finally, Algebraic Multigrid, Full Approximation Scheme and Full Multigrid are integrated into one advanced numerical solver based on the exact requirements of a semiconductor device simulator. A 2D MOSFET device is used to benchmark the performance, showing that the advanced Multigrid method has higher speed, accuracy and robustness.
