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Conjugate Gradient Algorithms and Finite Element Methods

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Cover of 'Conjugate Gradient Algorithms and Finite Element Methods'

Table of Contents

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    Book Overview
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    Chapter 1 The Founders of the Conjugate Gradient Method
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    Chapter 2 Conjugate Gradients and Finite Elements — a Golden Jubilee
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    Chapter 3 Geometric Interpretations of Conjugate Gradient and Related Methods
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    Chapter 4 The Convergence of Krylov Methods and Ritz Values
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    Chapter 5 An Application of the Shermann-Morrison Formula to the GMRES Method
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    Chapter 6 A Parallel CG Solver Based on Domain Decomposition and Non-Smooth Aggregation
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    Chapter 7 Deflation in Preconditioned Conjugate Gradient Methods for Finite Element Problems
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    Chapter 8 Nonsmooth Equation Method for Nonlinear Nonconvex Optimization
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    Chapter 9 Nonstandard Nonobtuse Refinements of Planar Triangulations
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    Chapter 10 Acute Versus Nonobtuse Tetrahedralizations
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    Chapter 11 A Posteriori Error Estimation of “Quantities of Interest” on “Quantity-Adapted” Meshes
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    Chapter 12 Inversion of Block-Tridiagonal Matrices and Nonnegativity Preservation in the Numerical Solution of Linear Parabolic PDEs
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    Chapter 13 On the Nonnegativity Conservation in Semidiscrete Parabolic Problems
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    Chapter 14 Iterative Solution Methods of the Maxwell Equations Using Staggered Grid Spatial Discretization
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    Chapter 15 Iterative Solution of Linear Variational Problems in Hilbert Spaces: Some Conjugate Gradients Success Stories
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    Chapter 16 On the Applicationn of Preconditioning Operators for Nonlinear Elliptic Problems
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    Chapter 17 On a Conjugate Gradient/Newton/Penalty Method for the Solution of Obstacle Problems. Application to the Solution of an Eikonal System with Dirichlet Boundary Conditions
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    Chapter 18 The Use of Bilinear Rectangular Elements in Reconstruction of Panoramic Images
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    Chapter 19 Finite Element Discretization and Iterative Solution Techniques for Multiphase Flows in Gas-Liquid Reactors
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    Chapter 20 Implicit Flux-Corrected Transport Algorithm for Finite Element Simulation of the Compressible Euler Equations
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    Chapter 21 Application of the PCG Method in Solution of a Nuclear Reactor Criticality Problem
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Title
Conjugate Gradient Algorithms and Finite Element Methods
Published by
Springer Berlin Heidelberg, January 2004
DOI 10.1007/978-3-642-18560-1
ISBNs
978-3-64-262159-8, 978-3-64-218560-1
Authors

Michal Křížek, Pekka Neittaanmäki, Sergey Korotov, Roland Glowinski

Editors

Křížek, Michal, Neittaanmäki, Pekka, Korotov, Sergey, Glowinski, Roland

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 20 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Italy 1 5%
Germany 1 5%
Unknown 18 90%

Demographic breakdown

Readers by professional status Count As %
Student > Master 6 30%
Student > Ph. D. Student 4 20%
Student > Doctoral Student 2 10%
Professor 2 10%
Researcher 2 10%
Other 2 10%
Unknown 2 10%
Readers by discipline Count As %
Engineering 7 35%
Computer Science 5 25%
Physics and Astronomy 2 10%
Arts and Humanities 1 5%
Chemistry 1 5%
Other 1 5%
Unknown 3 15%