Document Type
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BL
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Record Number
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604074
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Doc. No
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b433293
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Main Entry
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John, Volker
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Title & Author
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Finite element methods for incompressible flow problems /\ Volker John
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Series Statement
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Springer series in computational mathematics ;; volume 51
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Page. NO
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1 online resource.
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ISBN
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9783319457505
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: 3319457500
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9783319457499
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3319457497
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Bibliographies/Indexes
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Includes bibliographical references and index
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Contents
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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.
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Abstract
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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
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Subject
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Finite element method.
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Subject
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Fluid mechanics-- Mathematical models.
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Dewey Classification
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518/.25
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LC Classification
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TA347.F5
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Added Entry
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Ohio Library and Information Network.
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