Large-Scale PDE-Constrained Optimization in Applications

With continuous development of modern computing hardware and applicable - merical methods, computational ?uid dynamics (CFD) has reached certain level of maturity so that it is being used routinely by scientists and engineers for ?uid ?ow analysis.

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.