Numerical solution of a free-boundary-problem by an optimization method

Author

Grolleau, Maryvonne ; Humeau, Jean-Pierre

Author_Institution

Lab. d´´Autom., Ecole Centrale de Nantes, France

fYear

1993

fDate

17-20 Oct 1993

Firstpage

59

Abstract

We consider a one-phase Stefan problem issued from thermics: the mathematical model describing the process is a parabolic equation satisfied in an unknown domain. By using an integral transform the problem is shown to be equivalent to a parabolic variational inequality in a known domain. After discretization, the solution of this inequality is shown to be the minimizing element of an optimization problem. The numerical solution is computed by a finite-element method; numerical examples are presented

Keywords

heat transfer; numerical analysis; optimisation; parabolic equations; transforms; finite-element method; free-boundary-problem; integral transform; minimizing element; numerical solution; one-phase Stefan problem; optimization method; parabolic equation; parabolic variational inequality; thermics; Content addressable storage; Finite element methods; Integral equations; Optimization methods; Strontium; Temperature; Transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 1993. 'Systems Engineering in the Service of Humans', Conference Proceedings., International Conference on

Conference_Location

Le Touquet

Print_ISBN

0-7803-0911-1

Type

conf

DOI

10.1109/ICSMC.1993.390825

Filename

390825