Finite Element Methods for Incompressible Flow Problems

• Main Author: John, Volker (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Springer Series in Computational Mathematics, 51
• Subjects: Mathematics.; Partial differential equations.; Computer mathematics.; Computational Mathematics and Numerical Analysis.; Partial Differential Equations.

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....

Table of Contents:

• 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. .