Conjugate Gradient Algorithms and Finite Element Methods

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Release : 2012-12-06
Genre : Science
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Book Rating : 606/5 ( reviews)

Conjugate Gradient Algorithms and Finite Element Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Conjugate Gradient Algorithms and Finite Element Methods write by Michal Krizek. This book was released on 2012-12-06. Conjugate Gradient Algorithms and Finite Element Methods available in PDF, EPUB and Kindle. 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.

The Lanczos and Conjugate Gradient Algorithms

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Release : 2006-08-01
Genre : Computers
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Book Rating : 160/5 ( reviews)

The Lanczos and Conjugate Gradient Algorithms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Lanczos and Conjugate Gradient Algorithms write by Gerard Meurant. This book was released on 2006-08-01. The Lanczos and Conjugate Gradient Algorithms available in PDF, EPUB and Kindle. The most comprehensive and up-to-date discussion available of the Lanczos and CG methods for computing eigenvalues and solving linear systems.

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

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Release : 2014-12-22
Genre : Mathematics
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Book Rating : 83X/5 ( reviews)

Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs write by Josef Malek. This book was released on 2014-12-22. Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs available in PDF, EPUB and Kindle. 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.?

The Finite Element Method: Solid mechanics

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Release : 2000
Genre : Continuum mechanics
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Book Rating : 557/5 ( reviews)

The Finite Element Method: Solid mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Finite Element Method: Solid mechanics write by O. C. Zienkiewicz. This book was released on 2000. The Finite Element Method: Solid mechanics available in PDF, EPUB and Kindle.

The Finite Element Method Set

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Release : 2005-11-25
Genre : Technology & Engineering
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Book Rating : 679/5 ( reviews)

The Finite Element Method Set - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Finite Element Method Set write by O. C. Zienkiewicz. This book was released on 2005-11-25. The Finite Element Method Set available in PDF, EPUB and Kindle. The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics.* This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference