Conjugate Gradient Algorithms and Finite Element Methods
Half-Century of Contributions to Scientific Computing
(Sprache: Englisch)
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 complicated,...
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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 complicated, direct and inverse, multidemensional problems modeled by ordinary or partial differential equations and inequalities, not necessarily linear, optimal control and optimal design being part of these problems.
The aim of this book is to present both methods in the context of complicated problems modeled by linear and nonlinear partial differential equations, to provide an in-depth discussion on their implementation aspects. The authors show that conjugate gradient methods and finite element methods apply to the solution of real-life problems. They address graduate students as well as experts in scientific computing.
Inhaltsverzeichnis zu „Conjugate Gradient Algorithms and Finite Element Methods “
On the Application of Preconditioning Operators for Nonlinear Elliptic Problems- Conjugate Gradients and Finite Elements - A Golden Jubilee
- The Convergence of Krylov Methods and Ritz Values
- 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
- An Application of the Shermann-Morrison Formula to the GMRES Method
- Inversion of Block-Tridiagonal Matrices and Non-Negativity Preservation in the Numerical Solution of Linear Parabolic PDE's
- Iterative Solution Methods of the Maxwell Equations Using Staggered Grid Spatial Discretization
- Non-Standard Non-Obtuse Refinements of Planar Triangulations
- Geometric Interpretations of the Conjugate Gradient Method
- Accute and Non-Obtuse Tetrahedralizations
- The Use of Bilinear Rectangular Elements in Reconstruction of Panoramatic Images
- Finite Element Discretization and Iterative Solution Techniques for Multiphase Flows in Gas-Liquid Reactors
- Non-Smooth Equation Method for Nonlinear Non-Convex Optimization
- Implicit Flux-Corrected Transport Algorithm for Finite Element Simulation of the Compressible Euler Equations
- Application of the PCG Method in Solution of a Nuclear Reactor Criticality Problem
- The Founders of the Conjugate Gradient Method
- A Parallel CG Solver Based on Domain Decomposition and Non-Smooth Aggregation
- Deflation in Preconditioned Conjugate Gradient Methods for Finite Element Problems.
Bibliographische Angaben
- 2004, 384 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Herausgegeben:Krizek, Michal; Glowinski, Roland; Neittaanmäki, Pekka
- Herausgegeben: Michal Krizek, Sergey Korotov, Roland Glowinski, Pekka Neittaanmäki
- Verlag: Springer
- ISBN-10: 3540213198
- ISBN-13: 9783540213192
- Erscheinungsdatum: 11.06.2004
Sprache:
Englisch
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