Abstract
The purpose of this paper is to present a method to compute optimal controls for a class of one-dimensional heat-diffusion processes. The approach used is in the spirit of the Ritz method and approximates the given problem with simpler tasks which are solved by means of algorithms based on the principles of semi-infinite programming. General convergence properties of the procedures are shown. Some illustrative numerical examples are also given.
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Communicated by G. Leitmann
This research was supported by NSF Grant No. GK-31833 and by The Swedish Institute of Applied Mathematics, Stockholm, Sweden.
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Glashoff, K., Gustafson, S.Å. Numerical treatment of a parabolic boundary-value control problem. J Optim Theory Appl 19, 645–663 (1976). https://doi.org/10.1007/BF00934660
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DOI: https://doi.org/10.1007/BF00934660