Mathematics and Finite Element Discretizations of Incompressible Navier?Stokes Flows: Revised and Expanded Edition
Language: English
Published by SIAM - Society for Industrial and Applied Mathematics, 2024
- Softcover
- New
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- Title
- Mathematics and Finite Element Discretizations of Incompressible Navier?Stokes Flows: Revised and Expanded Edition
- Author
- Christine Bernardi; Vivette Girault; Frédéric Hecht; Pierre-Arnaud Raviart; Beatrice Riviere
- Publisher
- SIAM - Society for Industrial and Applied Mathematics
- Publication year
- 2024
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 1611978114
- ISBN 13
- 9781611978117
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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About the Author
Vivette Girault is an Emeritus Professor in the Laboratoire Jacques-Louis Lions at Sorbonne University. She received the AWM-SIAM Sonia Kovalevsky Lecturer award in 2021. She has authored or coauthored hundreds of scientific publications and coauthored three books on finite element methods and on non-Newtonian fluids.
Frédéric Hecht is an Emeritus Professor in the Laboratoire Jacques-Louis Lions at Sorbonne University. An expert in scientific computing, he has authored or coauthored more than 200 scientific publications and two books. He is the main developer of the software FreeFEM and received the IBM Prize "Intensive Numerical Computing of Automatic Generation of Three-Dimensional Meshes" in 1989, the Fondation d'Entreprise EADS (Sciences et Ingénierie) Prize in 2013, and the Atos–Joseph Fourier prize (formerly known as Bull Joseph Fourier) in 2015.
Pierre-Arnaud Raviart is an Emeritus Professor in the Laboratoire Jacques-Louis Lions at Sorbonne University. He is an expert in partial differential equations and numerical methods in fluid mechanics and has authored or coauthored more than 100 scientific publications and eight books. He founded with P.G. Ciarlet the theoretical analysis of finite element methods. He is a member of the French Academy of Sciences.
Beatrice Riviere is a Noah Harding Chair and Professor at Rice University in the department of Computational Applied Mathematics and Operations Research. She is an expert in the theory and implementation of numerical methods for the solution of PDEs arising from porous media and computational fluid dynamics and has authored or coauthored more than 100 scientific publications as well as a book on discontinuous Galerkin methods (SIAM, 2008). She is a SIAM Fellow (2021), an AWM Fellow (2022), and an IACM Fellow (2024).
"About the title" may belong to another edition of this title.
Books Puddle
Woodside, NY, U.S.A.
AbeBooks seller since November 22, 2018
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