A Direct Method for Parabolic PDE Constrained Optimization Problems

• Main Author: Potschka, Andreas (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2014.
• Series: Advances in Numerical Mathematics,
• Subjects: Mathematics.; Biochemical engineering.; Partial differential equations.; Mathematical optimization.; Optimization.; Mathematics, general.; Biochemical Engineering.; Partial Differential Equations.

Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the u...

Table of Contents:

• Parabolic PDE Constrained Optimization Problems
• Two-Grid Newton-Picard Inexact SQP
• Structure Exploiting Solution of QPs
• Applications and Numerical Results.