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Potschka, Andreas

A Direct Method for Parabolic PDE Constrained Optimization Problems

Potschka, Andreas - A Direct Method for Parabolic PDE Constrained Optimization Problems, ebook

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ISBN: 9783658044763
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Table of contents

1. Introduction
Andreas Potschka

Part I. Theoretical foundations

2. Problem formulation
Andreas Potschka

3. Direct Optimization: Problem discretization
Andreas Potschka

4. Elements of optimization theory
Andreas Potschka

Part II. Numerical methods

5. Inexact Sequential Quadratic Programming
Andreas Potschka

6. Newton-Picard preconditioners
Andreas Potschka

7. One-shot one-step methods and their limitations
Andreas Potschka

8. Condensing
Andreas Potschka

9. A Parametric Active Set method for QP solution
Andreas Potschka

10. Automatic derivative generation
Andreas Potschka

11. The software package MUSCOP
Andreas Potschka

Part III. Applications and numerical results

12. Linear boundary control for the periodic 2D heat equation
Andreas Potschka

13. Nonlinear boundary control of the periodic 1D heat equation
Andreas Potschka

14. Optimal control for a bacterial chemotaxis system
Andreas Potschka

15. Optimal control of a Simulated Moving Bed process
Andreas Potschka

Keywords: Mathematics, Optimization, Mathematics, general, Biochemical Engineering, Partial Differential Equations

Author(s)
Publisher
Springer
Publication year
2014
Language
en
Edition
2014
Series
Advances in Numerical Mathematics
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783658044763

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