Large-Scale PDE-Constrained Optimization in Applications

• Main Author: Hazra, Subhendu Bikash. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Applied and Computational Mechanics, 49
• Subjects: Engineering.; Computer science.; Hydraulic engineering.; Engineering Fluid Dynamics.; Fluid- and Aerodynamics.; Computational Science and Engineering.; Numerical and Computational Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-01502-1

This book results from the authors work done on simulation based optimization problems at the Department of Mathematics, University of Trier, and reported in his postdoctoral thesis ( Habilitationsschrift ) accepted by the Faculty-IV of this University in 2008. The focus of the work has been to deve...

Table of Contents:

• Partial Differential Equations in Mathematical Modeling of Fluid Flow Problems
• PDE-Constrained Optimization Methods
• Part I Applications in Environmental Engineering
• Mathematical Model of Multiphase Flow Through Porous Media
• Parameter Identification Multiphase Flow Through Porous Media
• Part 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 .