A Multigrid Tutorial: Second Edition

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SIAM, Jul 1, 2000 - Mathematics - 205 pages
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This second edition of the popular A Multigrid Tutorial preserves the introductory spirit of the first edition while roughly doubling the amount of material covered. The topics of the first edition have been enhanced with additional discussion, new numerical experiments, and improved figures. New topics in the second edition include nonlinear equations, Neumann boundary conditions, variable mesh and variable coefficient problems, anisotropic problems, algebraic multigrid (AMG), adaptive methods, and finite elements. This introductory book is ideally suited as a companion textbook for graduate numerical analysis courses. It is written for computational mathematicians, engineers, and other scientists interested in learning about multigrid.
 

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Contents

Chapter
1
Chapter
7
Chapter IV
25
Chapter V
39
Chapter VI
57
Chapter VII
71
Contents
Elements of Multigrid 31
31
79
79
87
87
Nonlinear Problems
95
Selected Applications
113
Algebraic Multigrid AMG
137
Multilevel Adaptive Methods
163
Finite Elements
177
Bibliography
189

Implementation 45
45
71
71
Some Theory 73
73

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