Articoli correlati a Mathematics and Finite Element Discretizations of Incompress...

Mathematics and Finite Element Discretizations of Incompressible Navier–Stokes Flows: Christine Bernardi, Vivette Girault, Frédéric Hecht, ... ... RiviereClassics in Applied Mathematics 90 - Brossura

Bernardi, Christine; Girault, Vivette; Hecht, Frédéric; Raviart, Pierre-Arnaud; Riviere, Beatrice

 
9781611978117: Mathematics and Finite Element Discretizations of Incompressible Navier–Stokes Flows: Christine Bernardi, Vivette Girault, Frédéric Hecht, ... ... RiviereClassics in Applied Mathematics 90
Brossura
ISBN 10: 1611978114 ISBN 13: 9781611978117
Casa editrice: Society for Industrial & Applied Mathematics,U.S., 2025

Sinossi

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 ?ow of incompressible Newtonian ?uids 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.

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Editore
Society for Industrial & Applied Mathematics,U.S.
Data di pubblicazione
2025
Lingua
Inglese
ISBN 10 
1611978114
ISBN 13 
9781611978117
Rilegatura
Copertina flessibile
Numero di pagine
840
Contatto del produttore
non disponibile
Persona responsabile
non disponibile