Large-Scale PDE-Constrained Optimization in Applications - Hazra, Subhendu Bikash; SpringerLink (Online service) (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010)
Partial Differential Equations in Mathematical Modeling of Fluid Flow Problems -- PDE-Constrained Optimization Methods -- I: Applications in Environmental Engineering -- Mathematical Model of Multiphase Flow through Porous Media -- Parameter Identification in Multiphase Flow through Porous Media -- II: Applications in Aerodynamics -- Simultaneous Pseudo-Time-Stepping for PDE-Model Based Optimization Problems -- Aerodynamic Shape Optimization Using Simultaneous Pseudo-Time-Stepping -- Indirect Treatment of State Constraints in Aerodynamic Shape Optimization Using Simultaneous Pseudo-Time-Stepping -- Direct Treatment of State Constraints in Aerodynamic Shape Optimization Using Simultaneous Pseudo-Time-Stepping -- Multigrid One-Shot Pseudo-Time-Stepping Method for Aerodynamic Shape Optimization -- Multigrid One-Shot Pseudo-Time-Stepping Method for State Constrained Aerodynamic Shape Optimization -- One-Shot Pseudo-Time-Stepping Method for Aerodynamic Shape Optimization Using the Navier-Stokes Equations.
Keywords: Computer mathematics; Mathematical models; Mathematical physics; Fluid mechanics; Fluids; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics; Theoretical, Mathematical and Computational Physics; Engineering Fluid Dynamics; Fluid- and Aerodynamics; Computational Science and Engineering