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Finite Element Approximation Of The Navier Stokes Equations


Finite Element Approximation Of The Navier Stokes Equations
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Finite Element Approximation Of The Navier Stokes Equations


Finite Element Approximation Of The Navier Stokes Equations
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Author : Vivette Girault
language : en
Publisher: Springer
Release Date : 1979

Finite Element Approximation Of The Navier Stokes Equations written by Vivette Girault and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Finite element method categories.




Finite Element Approximation Of The Navier Stokes Equations


Finite Element Approximation Of The Navier Stokes Equations
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Author : Vivette Girault
language : en
Publisher:
Release Date : 2014-09-01

Finite Element Approximation Of The Navier Stokes Equations written by Vivette Girault and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.




Finite Element Methods For Navier Stokes Equations


Finite Element Methods For Navier Stokes Equations
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Author : Vivette Girault
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Finite Element Methods For Navier Stokes Equations written by Vivette Girault and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The material covered by this book has been taught by one of the authors in a post-graduate course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an extended version of a previous text (cf. Girault & Raviart [32J) published in 1979 by Springer-Verlag in its series: Lecture Notes in Mathematics. In the last decade, many engineers and mathematicians have concentrated their efforts on the finite element solution of the Navier-Stokes equations for incompressible flows. The purpose of this book is to provide a fairly comprehen sive treatment of the most recent developments in that field. To stay within reasonable bounds, we have restricted ourselves to the case of stationary prob lems although the time-dependent problems are of fundamental importance. This topic is currently evolving rapidly and we feel that it deserves to be covered by another specialized monograph. We have tried, to the best of our ability, to present a fairly exhaustive treatment of the finite element methods for inner flows. On the other hand however, we have entirely left out the subject of exterior problems which involve radically different techniques, both from a theoretical and from a practical point of view. Also, we have neither discussed the implemen tation of the finite element methods presented by this book, nor given any explicit numerical result. This field is extensively covered by Peyret & Taylor [64J and Thomasset [82].



Finite Element Approximation Of The Navier Stokes Equations


Finite Element Approximation Of The Navier Stokes Equations
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Author : Vivette Girault
language : en
Publisher: Springer Verlag
Release Date : 1981-01-01

Finite Element Approximation Of The Navier Stokes Equations written by Vivette Girault and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Mathematics categories.




Finite Element Methods For Incompressible Flow Problems


Finite Element Methods For Incompressible Flow Problems
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Author : Volker John
language : en
Publisher: Springer
Release Date : 2016-10-27

Finite Element Methods For Incompressible Flow Problems written by Volker John and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-27 with Mathematics categories.


This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.



Analysis Of A Penalty Finite Element Approximation Of The Navier Stokes Equations


Analysis Of A Penalty Finite Element Approximation Of The Navier Stokes Equations
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Author : Ramachander Krishnan
language : en
Publisher:
Release Date : 1984

Analysis Of A Penalty Finite Element Approximation Of The Navier Stokes Equations written by Ramachander Krishnan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Navier-Stokes equations categories.




Finite Elements And Fast Iterative Solvers


Finite Elements And Fast Iterative Solvers
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Author : Howard C. Elman
language : en
Publisher: Oxford University Press
Release Date : 2014

Finite Elements And Fast Iterative Solvers written by Howard C. Elman and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.


A practical graduate text on Scientific Computing with a focus on numerical solution of partial differential equations and numerical linear algebra. This book, and its associated freely downloadable MATLAB software, is relevant to engineers, applied mathematicians, numerical analysts, and people working in interdisciplinary Scientific Computing.



Least Squares Finite Element Methods


Least Squares Finite Element Methods
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Author : Pavel B. Bochev
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-28

Least Squares Finite Element Methods written by Pavel B. Bochev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-28 with Mathematics categories.


Since their emergence in the early 1950s, ?nite element methods have become one of the most versatile and powerful methodologies for the approximate numerical solution of partial differential equations. At the time of their inception, ?nite e- ment methods were viewed primarily as a tool for solving problems in structural analysis. However, it did not take long to discover that ?nite element methods could be applied with equal success to problems in other engineering and scienti?c ?elds. Today, ?nite element methods are also in common use, and indeed are often the method of choice, for incompressible ?uid ?ow, heat transfer, electromagnetics, and advection-diffusion-reaction problems, just to name a few. Given the early conn- tion between ?nite element methods and problems engendered by energy minimi- tion principles, it is not surprising that the ?rst mathematical analyses of ?nite e- ment methods were given in the environment of the classical Rayleigh–Ritz setting. Yet again, using the fertile soil provided by functional analysis in Hilbert spaces, it did not take long for the rigorous analysis of ?nite element methods to be extended to many other settings. Today, ?nite element methods are unsurpassed with respect to their level of theoretical maturity.



Navier Stokes Equations In Planar Domains


Navier Stokes Equations In Planar Domains
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Author : Matania Ben-artzi
language : en
Publisher: World Scientific
Release Date : 2013-03-07

Navier Stokes Equations In Planar Domains written by Matania Ben-artzi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Mathematics categories.


This volume deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as “driven cavity” and “double-driven cavity”.A comprehensive treatment of the mathematical theory developed in the last 15 years is elaborated, heretofore never presented in other books. It gives a detailed account of the modern compact schemes based on a “pure streamfunction” approach. In particular, a complete proof of convergence is given for the full nonlinear problem.This volume aims to present a variety of numerical test problems. It is therefore well positioned as a reference for both theoretical and applied mathematicians, as well as a text that can be used by graduate students pursuing studies in (pure or applied) mathematics, fluid dynamics and mathematical physics./a