Finite Element Methods for Incompressible Flow Problems

• 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.

“Important distinction of this book is its extensive and detailed treatment of many turbulence models, subgrid models, and stabilization methods. … this is a very well written encyclopedic book, which I strongly recommend to anybody interested in finite element methods and incompressible fluids.” (Maxim A. Olshanskii, SIAM Review, Vol. 60 (1), 2018)