Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs

Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
Author :
Publisher : SIAM
Total Pages : 106
Release :
ISBN-10 : 9781611973839
ISBN-13 : 161197383X
Rating : 4/5 (39 Downloads)

Book Synopsis Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs by : Josef Malek

Download or read book Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs written by Josef Malek and published by SIAM. This book was released on 2014-12-22 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs?is about the interplay between modeling, analysis, discretization, matrix computation, and model reduction. The authors link PDE analysis, functional analysis, and calculus of variations with matrix iterative computation using Krylov subspace methods and address the challenges that arise during formulation of the mathematical model through to efficient numerical solution of the algebraic problem. The book?s central concept, preconditioning of the conjugate gradient method, is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system. In this text, however, preconditioning is connected to the PDE analysis, and the infinite-dimensional formulation of the conjugate gradient method and its discretization and preconditioning are linked together. This text challenges commonly held views, addresses widespread misunderstandings, and formulates thought-provoking open questions for further research.?


Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs Related Books

Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
Language: en
Pages: 106
Authors: Josef Malek
Categories: Mathematics
Type: BOOK - Published: 2014-12-22 - Publisher: SIAM

DOWNLOAD EBOOK

Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs?is about the interplay between modeling, analysis, discretization, matrix compu
Solution of Superlarge Problems in Computational Mechanics
Language: en
Pages: 300
Authors: James H. Kane
Categories: Technology & Engineering
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

There is a need to solve problems in solid and fluid mechanics that currently exceed the resources of current and foreseeable supercomputers. The issue revolves
The Lanczos and Conjugate Gradient Algorithms
Language: en
Pages: 374
Authors: Gerard Meurant
Categories: Computers
Type: BOOK - Published: 2006-08-01 - Publisher: SIAM

DOWNLOAD EBOOK

The most comprehensive and up-to-date discussion available of the Lanczos and CG methods for computing eigenvalues and solving linear systems.
Scientific and Technical Aerospace Reports
Language: en
Pages: 702
Authors:
Categories: Aeronautics
Type: BOOK - Published: 1995 - Publisher:

DOWNLOAD EBOOK

Numerical Methods for Mixed Finite Element Problems
Language: en
Pages: 119
Authors: Jean Deteix
Categories: Mathematics
Type: BOOK - Published: 2022-09-24 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for