TY - BOOK AU - John,Volker ED - SpringerLink (Online service) TI - Finite Element Methods for Incompressible Flow Problems T2 - Springer Series in Computational Mathematics, SN - 9783319457505 AV - QA71-90 U1 - 518 23 PY - 2016/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Computer science KW - Mathematics KW - Differential equations, partial KW - Computational Mathematics and Numerical Analysis KW - Partial Differential Equations N1 - 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. N2 - 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 UR - https://doi.org/10.1007/978-3-319-45750-5 ER -