Title :
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
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;
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
DOI :
10.1109/ICSMC.1993.390825
