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Abstract

A method of constructing optimal controls for two-phase Stefan problems is proposed. The control action is performed via boundary conditions of the mixed type. An elliptic degeneration of the Stefan problems is admitted. Discrete approximations to the optimal control problems are constructed. A discussion of the results of some corresponding numerical experiments is given.

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© 1987 Springer Basel AG

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Pawlow, I. (1987). Optimal Control of Two-Phase Stefan Problems — Numerical Solutions. In: Hoffmann, KH., Krabs, W. (eds) Optimal Control of Partial Differential Equations II: Theory and Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 78. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7627-8_11

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  • DOI: https://doi.org/10.1007/978-3-0348-7627-8_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7629-2

  • Online ISBN: 978-3-0348-7627-8

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