Abstract
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 :
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minimum energy problem for the heat equation with distributed input (this is the classical test example)
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minimization of a steel index for the parabolic equation with one-sided heating
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reheating furnace with a non linear boundary condition (radiation)
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Cambon, P., Le Letty, L. (1973). Applications of decomposition and multi-level techniques to the optimization of distributed parameter systems. In: Conti, R., Ruberti, A. (eds) 5th Conference on Optimization Techniques Part I. Optimization Techniques 1973. Lecture Notes in Computer Science, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06583-0_53
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DOI: https://doi.org/10.1007/3-540-06583-0_53
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