This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. The relationship between domain decomposition and multigrid methods is carefully explained at an elementary level, and discussions of the implementation of domain decomposition methods on massively parallel super computers are also included. All algorithms are fully described and explained, and a mathematical framework for the analysis and complete understanding of the methods is also carefully developed. In addition, numerous numerical examples are included to demonstrate the behaviour of this important class of numerical methods. This book is ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.
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'This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis ... All algorithms are fully described and explained, and a mathematical framework for the analysis and complete understanding of the methods is also carefully developed.' L'Enseignement Mathématique
Book Description
Presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. Ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.
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3 of 4 people found the following review helpful:
4.0 out of 5 stars
Good book that introduces domain decomposition,
By A Customer
This review is from: Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations (Hardcover)
A little something for everyone in this text. Discussion of computational issues, references, algorithms, and some convergence analysis. The authors do a good job of covering the subject at an understandable level. A small fault with the book is it leaves you wanting more! Excellent way to learn about these methods on your own.
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Inside This Book
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First Sentence:
PERHAPS the simplest domain decomposition algorithms are the one level, explicitly overlapping Schwarz methods. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
multilevel diagonal scaling, hierarchical basis method, iterative substructuring method, coarse grid problem, interface preconditioners, null space property, iterative substructuring algorithms, scaling preconditioner, subspace accelerator, discrete harmonic extension, nonmatching grids, substructuring methods, coarse grid space, hierarchical basis preconditioner, subdomain problems, usual nodal basis, domain decomposition algorithms, coarse grid operator, subdomain solves, coarse grid correction, subdomain solvers, nonsymmetric problems, coarse problem, domain decomposition methods, many subdomains New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
PERHAPS the simplest domain decomposition algorithms are the one level, explicitly overlapping Schwarz methods. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
multilevel diagonal scaling, hierarchical basis method, iterative substructuring method, coarse grid problem, interface preconditioners, null space property, iterative substructuring algorithms, scaling preconditioner, subspace accelerator, discrete harmonic extension, nonmatching grids, substructuring methods, coarse grid space, hierarchical basis preconditioner, subdomain problems, usual nodal basis, domain decomposition algorithms, coarse grid operator, subdomain solves, coarse grid correction, subdomain solvers, nonsymmetric problems, coarse problem, domain decomposition methods, many subdomains New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 22
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17
books
cite this book:
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- Domain Decomposition Methods by Andrea Toselli on 10 pages
- in Back Matter (1), Back Matter (2), and Back Matter (3)
- Differential Equations by David Lomen in Back Matter (1), and Back Matter (2)
- Elliptic Problem Solvers II by Arthur Schoenstadt in Back Matter (1), and Back Matter (2)
- Linear Systems (Electrical & Electronic Engineering) by Ralph Schwarz in Back Matter (1), and Back Matter (2)
See all 22 books this book cites
- Domain Decomposition Methods in Science and Engineering (Lecture Notes in Computational Science and Engineering) by Ralf Kornhuber on 7 pages
- Parallel Solution of Partial Differential Equations by Petter Bjorstad on page 30, page 55, and page 293
- Numerical Treatment of Multiphase Flows in Porous Media: Proceedings of the International Workshop Held at Beijing, China, 2-6 August, 1999 (Lecture Notes in Physics) by Zhangxin Chen on page 34, and page 418
- Conjugate Gradient Algorithms and Finite Element Methods (Scientific Computation) by Michal Krizek on page 102
- Applied Parallel Computing. Industrial Computation and Optimization: Third International Workshop, PARA '96, Lyngby, Denmark, August 18-21, 1996, Proceedings (Lecture Notes in Computer Science) by Jerzy Wasniewski on page 56
See all 17 books citing this book
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