On approximation of the inverse one—phase Stefan problem
Identifieur interne : 00DA56 ( Main/Exploration ); précédent : 00DA55; suivant : 00DA57On approximation of the inverse one—phase Stefan problem
Auteurs : Viorel Arn Utu [Roumanie]Source :
- International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique
Abstract
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.
Url:
DOI: 10.1007/978-3-0348-5715-4_5
Affiliations:
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