A Steepest Descent Method for the Approximation of the Boundary Control in Two-Phase Stefan Problem
Neittaanmäki, P., & Tiba, D. (1987). A Steepest Descent Method for the Approximation of the Boundary Control in Two-Phase Stefan Problem Mathematica - Revue d'analyse numérique et de théorie de l'approximation, 29 (2), 157-167.
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Neittaanmäki, Pekka; Tiba, Dan (Birkhäuser, 1991)We give a new approach to state constrained control problems associated to non-degenerate nonlinear parabolic equations of Stefan type. We obtain uniform estimates for the violation of the constraints.
Neittaanmäki, Pekka; Tiba, D. (Polish Academy of Sciences, 1987)The paper is concerned with boundary control of two-phase Stefan problems. A construction of optimal solutions, based on exploiting regularization techniques, is presented. Results of some numerical experiments are discussed.
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