Conjugate gradient algorithms and finite element methods / M. Krizek, (editores) ... [y tres más].

Contributor(s): Křížek, M [editor] | Neittaanmäki, P [editor] | Glowinski, Roland [editor] | Korotov, S [editor]Material type: TextTextLanguage: English Series: Scientific computationCopyright date: Berlin ; New York : Springer, 2004Edition: First EditionDescription: xv, 382 pages : illustrations (some colours) ; 24 cmISBN: 9783540213192Subject(s): Conjugate gradient methods | Métodos de gradiente conjugado | Finite element method | Método de elementos finitosDDC classification: 512.94 Online resources: Publisher description | Table of contents only
Partial contents:
The Founders of the Conjugate Gradient Method /Šolcová, Alena -- Conjugate Gradients and Finite Elements — a Golden Jubilee / Brandts, Jan -- Geometric Interpretations of Conjugate Gradient and Related Methods / Křížek, Michal (et al.) -- The Convergence of Krylov Methods and Ritz Values / Brandts, Jan (et al.) -- An Application of the Shermann-Morrison Formula to the GMRES Method / Tebbens, Erik Jurjen Duintjer -- A Parallel CG Solver Based on Domain Decomposition and Non-Smooth Aggregation / Vassilevski, Yuri V. -- Deflation in Preconditioned Conjugate Gradient Methods for Finite Element Problems / Vermolen, Fred (et al.) -- Nonsmooth Equation Method for Nonlinear Nonconvex Optimization / Lukšan, Ladislav (et al.) -- Nonstandard Nonobtuse Refinements of Planar Triangulations / Korotov, Sergey (et al.) -- Acute Versus Nonobtuse Tetrahedralizations / Křížek, Michal (et al.) -- A Posteriori Error Estimation of “Quantities of Interest” on “Quantity-Adapted” Meshes /Neittaanmäki, Pekka (et al.) -- Inversion of Block-Tridiagonal Matrices and Nonnegativity Preservation in the Numerical Solution of Linear Parabolic PDEs / Faragó, István (et al.) -- On the Nonnegativity Conservation in Semidiscrete Parabolic Problems / Vejchodský, Tomáš -- Iterative Solution Methods of the Maxwell Equations Using Staggered Grid Spatial Discretization / Horváth, Robert (et al.) -- Iterative Solution of Linear Variational Problems in Hilbert Spaces: Some Conjugate Gradients Success Stories / Glowinski, Roland (et al.) -- On the Applicationn of Preconditioning Operators for Nonlinear Elliptic Problems / Axelsson, Owe (et al.) -- 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 / Dacorogna, Bernard (et al.) -- The Use of Bilinear Rectangular Elements in Reconstruction of Panoramic Images / Křížek, Pavel -- Finite Element Discretization and Iterative Solution Techniques for Multiphase Flows in Gas-Liquid Reactors / Kuzmin, Dmitri (et al.) -- Implicit Flux-Corrected Transport Algorithm for Finite Element Simulation of the Compressible Euler Equations / Möller, Matthias (et al.) -- Application of the PCG Method in Solution of a Nuclear Reactor Criticality Problem / Neumanová, Eva.
Abstract: The position taken in this collection of pedagogically written essays is that conjugate gradient algorithms and finite element methods complement each other extremely well. Via their combinations practitioners have been able to solve differential equations and multidimensional problems modeled by ordinary or partial differential equations and inequalities, not necessarily linear, optimal control and optimal design being part of these problems.
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Item type Current library Call number Copy number Status Date due Barcode Item holds
Libro académico Libro académico Biblioteca del Campus
512.94 C751 2004 (Browse shelf (Opens below)) Ej. 1 Available 001703
Libro académico Libro académico Biblioteca del Campus
512.94 C751 2004 (Browse shelf (Opens below)) Ej. 2 Available 001704
Libro académico Libro académico Biblioteca del Campus
512.94 C751 2004 (Browse shelf (Opens below)) Ej. 3 Available 001705
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Includes index.

Includes bibliographical references.

The Founders of the Conjugate Gradient Method /Šolcová, Alena -- Conjugate Gradients and Finite Elements — a Golden Jubilee / Brandts, Jan -- Geometric Interpretations of Conjugate Gradient and Related Methods / Křížek, Michal (et al.) -- The Convergence of Krylov Methods and Ritz Values / Brandts, Jan (et al.) -- An Application of the Shermann-Morrison Formula to the GMRES Method / Tebbens, Erik Jurjen Duintjer -- A Parallel CG Solver Based on Domain Decomposition and Non-Smooth Aggregation / Vassilevski, Yuri V. -- Deflation in Preconditioned Conjugate Gradient Methods for Finite Element Problems / Vermolen, Fred (et al.) -- Nonsmooth Equation Method for Nonlinear Nonconvex Optimization / Lukšan, Ladislav (et al.) -- Nonstandard Nonobtuse Refinements of Planar Triangulations / Korotov, Sergey (et al.) -- Acute Versus Nonobtuse Tetrahedralizations / Křížek, Michal (et al.) -- A Posteriori Error Estimation of “Quantities of Interest” on “Quantity-Adapted” Meshes /Neittaanmäki, Pekka (et al.) -- Inversion of Block-Tridiagonal Matrices and Nonnegativity Preservation in the Numerical Solution of Linear Parabolic PDEs / Faragó, István (et al.) -- On the Nonnegativity Conservation in Semidiscrete Parabolic Problems / Vejchodský, Tomáš -- Iterative Solution Methods of the Maxwell Equations Using Staggered Grid Spatial Discretization / Horváth, Robert (et al.) -- Iterative Solution of Linear Variational Problems in Hilbert Spaces: Some Conjugate Gradients Success Stories / Glowinski, Roland (et al.) -- On the Applicationn of Preconditioning Operators for Nonlinear Elliptic Problems / Axelsson, Owe (et al.) -- 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 / Dacorogna, Bernard (et al.) -- The Use of Bilinear Rectangular Elements in Reconstruction of Panoramic Images / Křížek, Pavel -- Finite Element Discretization and Iterative Solution Techniques for Multiphase Flows in Gas-Liquid Reactors / Kuzmin, Dmitri (et al.) -- Implicit Flux-Corrected Transport Algorithm for Finite Element Simulation of the Compressible Euler Equations / Möller, Matthias (et al.) -- Application of the PCG Method in Solution of a Nuclear Reactor Criticality Problem / Neumanová, Eva.

The position taken in this collection of pedagogically written essays is that conjugate gradient algorithms and finite element methods complement each other extremely well. Via their combinations practitioners have been able to solve differential equations and multidimensional problems modeled by ordinary or partial differential equations and inequalities, not necessarily linear, optimal control and optimal design being part of these problems.

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