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＜E-Book＞
Finite Element Methods for Incompressible Flow Problems / by Volker John
(Springer Series in Computational Mathematics. ISSN:21983712 ; 51)

Edition	1st ed. 2016.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2016
Language	English
Size	XIII, 812 p. 120 illus., 85 illus. in color : online resource
Authors	*John, Volker author SpringerLink (Online service)
Subjects	LCSH:Mathematics -- Data processing  All Subject Search LCSH:Differential equations FREE:Computational Mathematics and Numerical Analysis FREE:Differential Equations
Notes	Preface -- Introduction -- The Navier-Stokes Equations as Model for Incompressible Flows -- Finite Element Spaces for Linear Saddle Point Problems -- The Stokes Equations -- The Oseen Equations -- The Steady-State Navier{Stokes Equations -- The Time-Dependent Navier-Stokes Equations - Laminar Flows -- The Time-Dependent Navier-Stokes Equations - Turbulent Flows -- Solvers for the Coupled Linear Systems of Equations -- Functional Analysis -- Finite Element Methods -- Interpolation -- Examples of Numerical Simulations -- Notations -- References. 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 HTTP:URL=https://doi.org/10.1007/978-3-319-45750-5

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