Applications of decomposition and multi-level techniques to the optimization of distributed parameter systems

  • Ph. Cambon
  • L. Le Letty
Numerical Methods
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3)


The resolution of optimal control problems for systems described by partial differential equations leads, after complete (or semi) discretization, to large-scale optimization problems on models described by difference (or differential) equations that are often not easy to solve directly.

The hierarchical multi-level approach seems to be well suited to a large class of synthesis problems for these complex systems. Three applications will be presented here :
  • minimum energy problem for the heat equation with distributed input (this is the classical test example)

  • minimization of a steel index for the parabolic equation with one-sided heating

  • reheating furnace with a non linear boundary condition (radiation)


Optimal Control Problem Mixed Method Distribute Parameter System Relaxation Scheme Coordination Method 
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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • Ph. Cambon
    • 1
  • L. Le Letty
    • 1
  1. 1.CERT/DERA — Complexe AérospatialToulouseFrance

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