Abstract
Numerical resolution of a 2D inverse phase change problem has been proposed. Two different methods have been tested. The first one use a sequential minimisation procedure, on a sliding time horizon. The second one is based on the transformation of the initial non linear phase change problem in a linear one, which is solved by linear quadratic optimal control method. They both give satisfactory results in the case of a regular interface.
Comparison of these two methods for identification of various shapes of interfaces, and detection of local irregularity will be the next step of this work.
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© 1994 Springer-Verlag
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Bénard, C., Guerrier, B., Liu, H.G., Wang, X. (1994). Inverse 2D phase change problem. In: Henry, J., Yvon, JP. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035510
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DOI: https://doi.org/10.1007/BFb0035510
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