A Direct Method for Parabolic PDE Constrained Optimization Problems

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Springer Science & Business Media, Nov 29, 2013 - Mathematics - 216 pages
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 user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.
 

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Contents

1 Introduction
1
Part I Theoretical foundations
9
Part II Numerical methods
30
Part III Applications and numerical results
161
16 Conclusions and future work
199
Bibliography
201
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About the author (2013)

Dr. Andreas Potschka is a postdoctoral researcher in the Simulation and Optimization group of Prof. Dr. Dres. h. c. Hans Georg Bock at the Interdisciplinary Center for Scientific Computing, Heidelberg University. He is the head of the research group Model-Based Optimizing Control.

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