Finite Element Methods for Incompressible Flow Problems
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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.
Uniform presentation of finite element methods for incompressible flow problems
Covers stationary and time-dependent problems
Emphasis on numerical analysis
Overview of analytical results for turbulence models
Step-by-step presentation of proofs for facilitating the understanding