UID:
almahu_9949953201302882
Format:
1 Online-Ressource (xviii, 840 Seiten).
Edition:
Revised and expanded edition.
ISBN:
9781611978124
Series Statement:
Classics in applied mathematics ; CL90
Uniform Title:
Finite element methods for Navier-Stokes equations
Content:
Navier-Stokes equations are one of the most impactful techniques for modeling physical flow phenomena. The coupling of velocity and pressure, along with the nonlinearity, is a challenge for the mathematical and numerical analysis of these equations. This self-contained book provides a thorough theoretical study of finite element methods for solving incompressible Navier-Stokes equations, which model flow of incompressible Newtonian fluids and are used in many practical applications. It focuses on efficient and widely used finite element methods that are well adapted to large-scale simulations. In this revised and expanded edition of Girault and Raviart's 1986 textbook Finite Element Methods for Navier-Stokes Equations (Springer-Verlag), readers will find rigorous proof of stability and convergence, analysis of practical algorithms, and a stand-alone chapter on finite element methods that is applicable to a large range of PDEs. In addition to the basic theoretical analysis, this book covers up-to-date finite element discretizations of incompressible Navier-Stokes equations; a variety of numerical algorithms used in the computer implementation of Navier-Stokes equations and numerical experiments; standard and nonstandard boundary conditions and their numerical discretizations via the finite element methods; and conforming and nonconforming finite elements, as well as their stability and instability.
Note:
Revised edition of: Finite element methods for Navier-Stokes equations / Vivette Girault, Pierre-Arnaud Raviart. [1986].
,
"This book is a revised, updated, and augmented version of the out-of-print classic book 'Finite Element Methods for Navier-Stokes Equations' by Girault and Raviart published by Springer in 1986"-- Introduction.
,
The Stokes problem : the basics -- The Stokes problem : nonstandard cases -- The steady-state Navier-Stokes equations -- The finite element method -- Finite elements for the Stokes problem -- Discretization of the Stokes problem : nonstandard cases -- Algorithms for the Stokes problem -- Discretization of the steady Navier-Stokes system -- Algorithms for the steady Navier-Stokes problem -- The time-dependent Navier-Stokes equations -- Algorithms for the time-dependent Navier-Stokes equations.
,
Mode of access: World Wide Web.
,
System requirements: Adobe Acrobat Reader.
Additional Edition:
Druckausgabe: ISBN 9781611978117
Language:
English
URL:
https://doi.org/10.1137/1.9781611978124
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