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Title: Approximation of a solidification problem

Creator:

Aboulaich, Rajae ; Haggouch, Ilham ; Souissi, Ali

Date:

2001

Resource Type:

artykuł

Contributor:

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

Subtitle:

Mathematical Methods of Optimization and Control of Large-Scale Systems

Group publication title:

AMCS, volume 11 (2001)

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

Resource Identifier:

oai:zbc.uz.zgora.pl:58796

Pages:

921-955

Source:

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

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

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

Object collections:

Last modified:

Sep 3, 2021

In our library since:

Jul 21, 2021

Number of object content hits:

58

All available object's versions:

https://zbc.uz.zgora.pl/publication/65580

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Approximation of a solidification problem Sep 3, 2021

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