International Series of Numerical Mathematics

Optimal Control of Partial Differential Equations II: Theory and Applications

Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986

Authors: Hoffmann, K.-H., Krabs, W.

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About this book

This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" which, under the chairmanship of the editors, took place at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The great variety of topics covered by the contributions strongly indicates that also in the future it will be impossible to develop a unifying control theory of partial differential equations. On the other hand, there is a strong tendency to treat prob­ lems which are directly connected to practical applications. So this volume contains real-world applications like optimal cooling laws for the production of rolled steel or concrete solutions for the problem of optimal shape design in mechanics and hydrody­ namics. Another main topic is the construction of numerical methods. This includes applications of the finite element method as well as of Quasi-Newton-methods to con­ strained and unconstrained control problems. Also, very complex problems arising in the theory of free boundary value problems are treated. ]~inally, some contribu­ tions show how practical problems stimulate the further development of the theory; in particular, this is the case for fields like suboptimal control, necessary optimality conditions and sensitivity analysis. As usual, the lectures and stimulating discussions took place in the pleasant at­ mosphere of the Mathematisches Forschungsinstitut Oberwolfach. Special thanks of the participants are returned to the Director as well as to the staff of the institute.

Table of contents (13 chapters)

Table of contents (13 chapters)
  • On a Domain Optimization Problem in Hydromechanics

    Pages 9-27

    Angell, T. S. (et al.)

  • On a Certain Optimal Harvesting Problem with Continuous Age Structure

    Pages 29-42

    Brokate, Martin

  • Continuous Media: Interpretation in Terms of Phase-Portrait Method for Dynamic Systems with Control

    Pages 43-55

    Butkovskiy, Anatoliy (et al.)

  • Optimal Periodic Control of Quasilinear Systems in Hilbert Spaces

    Pages 57-66

    Colonius, Fritz

  • On an Inverse Problem for a Nonlinear Heat Equation Connected with Continuous Casting of Steel

    Pages 67-89

    Engl, Prof.Dr. Heinz W. (et al.)

Buy this book

eBook $64.99
price for USA in USD
  • ISBN 978-3-0348-7627-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $84.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Optimal Control of Partial Differential Equations II: Theory and Applications
Book Subtitle
Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986
Authors
Series Title
International Series of Numerical Mathematics
Series Volume
78
Copyright
1987
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-7627-8
DOI
10.1007/978-3-0348-7627-8
Hardcover ISBN
978-3-7643-1846-8
Series ISSN
0373-3149
Edition Number
1
Number of Pages
VII, 227
Topics