TY - GEN
A1 - Aboulaich, Rajae
A1 - Haggouch, Ilham
A1 - Souissi, Ali
A2 - Triggiani, Roberto- ed.
A2 - Maksimov, Vyacheslav I. - ed.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
L1 - http://www.zbc.uz.zgora.pl/Content/58796/AMCS_2001_11_4_9.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/58796
KW - Stefan problem
KW - free boundary
KW - shape optimization
KW - Euler method
KW - finite-element method
T1 - Approximation of a solidification problem
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=58796
ER -