A Direct Method for Parabolic PDE Constrained Optimization Problems

Authors:

ISBN: 978-3-658-04475-6 (Print) 978-3-658-04476-3 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages I-XIV

  2. No Access

    Book Chapter

    Pages 1-8

    Introduction

  3. Theoretical foundations

    1. Front Matter

      Pages 9-9

    2. No Access

      Book Chapter

      Pages 11-17

      Problem formulation

    3. No Access

      Book Chapter

      Pages 19-26

      Direct Optimization: Problem discretization

    4. No Access

      Book Chapter

      Pages 27-29

      Elements of optimization theory

  4. Numerical methods

    1. Front Matter

      Pages 31-31

    2. No Access

      Book Chapter

      Pages 33-73

      Inexact Sequential Quadratic Programming

    3. No Access

      Book Chapter

      Pages 75-98

      Newton-Picard preconditioners

    4. No Access

      Book Chapter

      Pages 99-110

      One-shot one-step methods and their limitations

    5. No Access

      Book Chapter

      Pages 111-122

      Condensing

    6. No Access

      Book Chapter

      Pages 123-144

      A Parametric Active Set method for QP solution

    7. No Access

      Book Chapter

      Pages 145-151

      Automatic derivative generation

    8. No Access

      Book Chapter

      Pages 153-160

      The software package MUSCOP

  5. Applications and numerical results

    1. Front Matter

      Pages 161-161

    2. No Access

      Book Chapter

      Pages 163-170

      Linear boundary control for the periodic 2D heat equation

    3. No Access

      Book Chapter

      Pages 171-179

      Nonlinear boundary control of the periodic 1D heat equation

    4. No Access

      Book Chapter

      Pages 181-186

      Optimal control for a bacterial chemotaxis system

    5. No Access

      Book Chapter

      Pages 187-197

      Optimal control of a Simulated Moving Bed process

  6. Back Matter

    Pages 199-216