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Introduction

  • Günter LeugeringEmail author
  • Andreas Griewank
  • Stefan Ulbrich
  • Helmut Harbrecht
  • Peter Benner
  • Rolf Rannacher
  • Michael Hinze
  • Sebastian Engell
Chapter
Part of the International Series of Numerical Mathematics book series (ISNM, volume 165)

Abstract

Problems of optimization and optimal control subject to constraints governed by partial differential equations (PDEs) arise in a huge variety of industrial, technological, economic, medical and environmental applications. The questions that appear in this field range from shape and topology optimization problems, such as optimal design of the wing of an aircraft, to optimal control of water flow in irrigation canals and medical separation processes of biological cells. For a fruitful and comprehensive study of such optimization problems, it is crucial to combine innovative optimization techniques with new algorithmic and numerical approaches.

Keywords

Topology Optimization Special Volume Shape Optimization Model Reduction Model Order Reduction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Günter Leugering
    • 1
    Email author
  • Andreas Griewank
    • 2
  • Stefan Ulbrich
    • 3
  • Helmut Harbrecht
    • 4
  • Peter Benner
    • 5
  • Rolf Rannacher
    • 6
  • Michael Hinze
    • 7
  • Sebastian Engell
    • 8
  1. 1.Department MathematikUniversität Erlangen-NürnbergErlangenGermany
  2. 2.Department of MathematicsHumboldt-Universität zu Berlin, Unter den Linden 6BerlinGermany
  3. 3.Fachbereich MathematikTechnische Universität DarmstadtDarmstadtGermany
  4. 4.Mathematisches InstitutUniversität BaselBaselSwitzerland
  5. 5.Institut für Dynamik komplexer technischMax-Planck-InstitutMagdeburgGermany
  6. 6.Institut für Angewandte MathematikRuprecht-Karls-Universität HeidelbergHeidelbergGermany
  7. 7.Fachbereich Mathematik Optimierung und ApproximationUniversität HamburgHamburgGermany
  8. 8.Department of Biochemical and Chemical EngineeringTU DortmundDortmundGermany

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