Editors: Owe Axelsson, Janos Karatson

Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations

eBook: US $22 Special Offer (PDF + Printed Copy): US $96
Printed Copy: US $86
Library License: US $88
ISBN: 978-1-60805-610-1 (Print)
ISBN: 978-1-60805-291-2 (Online)
Year of Publication: 2011
DOI: 10.2174/97816080529121110101

Introduction

This e-book presents several research areas of elliptical problems solved by differential equations. The mathematical models explained in this e-book have been contributed by experts in the field and can be applied to a wide range of real life examples. Methods explained include pre-conditioned conjugate grid models, higher order discretization and finite element mesh generation. This e-book should be a useful reference for scholars and professionals interested in elliptical partial differential equations.

Foreword

- Pp. i-ii (2)
Radim Blaheta
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Preface

- Pp. iii
Owe Axelsson and Janos Karatson
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List of Contributors

- Pp. iv-v (1)
Owe Axelsson and Janos Karatson
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Robust Multilevel Preconditioning Methods

- Pp. 3-22 (20)
Petia Boyanova and Svetozar Margenov

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Efficient Preconditioners for Saddle Point Systems

- Pp. 23-43 (21)
Zhi-Hao Cao

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Block Preconditioners for Saddle Point Problems Resulting from Discretizations of Partial Differential Equations

- Pp. 44-65 (22)
Piotr Krzyzanowski

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Construction of Preconditioners by Mapping Properties for Systems of Partial Differential Equations

- Pp. 66-83 (18)
Kent-Andre Mardal and Ragnar Winther

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Automatic Construction of Sparse Preconditioners for High-Order Finite Element Methods

- Pp. 84-102 (19)
Travis M. Austin, Marian Brezina, Thomas A. Manteuffel and John Ruge

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A Geometric Toolbox for Tetrahedral Finite Element Partitions

- Pp. 103-122 (20)
Jan Brandts, Sergey Korotov and Michal Krizek

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Local Multigrid on Adaptively Refined Meshes and Multilevel Preconditioning with Applications

- Pp. 123-144 (22)
Ronald H.W. Hoppe, Xuejun Xu and Huangxin Chen

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Index

- Pp. 145-146 (2)
Owe Axelsson and Janos Karatson
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