Abstract
The inverse one-dimensional one-phase Stefan problem is considered in terms of an optimal control problem. According to an idea of V. Barbu the state system is considered only on a domain delimited by the desired moving boundary. The necessary conditions for optimality are established and a descent algorithm is derived. Its numerical implementation for bang-bang suboptimal controls is presented; particular attention is devoted to find a starting control by a local variations method. Numerical tests are given.
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© 1991 Springer Basel AG
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Arnăutu, V. (1991). On approximation of the inverse one—phase Stefan problem. In: Neittaanmäki, P. (eds) Numerical Methods for Free Boundary Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 99. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5715-4_5
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DOI: https://doi.org/10.1007/978-3-0348-5715-4_5
Publisher Name: Birkhäuser, Basel
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