Creator:

Aboulaich, Rajae ; Haggouch, Ilham ; Souissi, Ali

Contributor:

Triggiani, Roberto- ed. ; Maksimov, Vyacheslav I. - ed.

Title:

Approximation of a solidification problem

Subtitle:

Mathematical Methods of Optimization and Control of Large-Scale Systems

Group publication title:

AMCS, volume 11 (2001)

Subject and Keywords:

Stefan problem ; free boundary ; shape optimization ; Euler method ; finite-element method

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2001

Resource Type:

artykuł

Pages:

921-955

Source:

AMCS, volume 11, number 4 (2001) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego