Search for: [Abstract = "A two\-dimensional Stefan problem is usually introduced as a model of solidification, melting or sublimation phenomena. The two\-phase Stefan problem has been studied as a direct problem, where the free boundary separating the two regions is eliminated using a variational inequality \(Baiocchi, 1977\; Baiocchi et al., 1973\; Rodrigues, 1980\; Saguez, 1980\; Srunk and Friedman, 1994\), the enthalpy function \(Ciavaldini, 1972\; Lions, 1969\; Nochetto et al., 1991\; Saguez, 1980\), or a control problem \(El Bagdouri, 1987\; Peneau, 1995\; Saguez, 1980\). In the present work, we provide a new formulation leading to a shape optimization problem. For a semidiscretization in time, we consider an Euler scheme."]

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