A one-phase inverse Stefan problem

Inverse Problems

Volumn 15, Issue 6, 1999, Pages 1507-1522

  El Badia, A ^a   Moutazaim, F ^a  

^a UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5844311098     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/15/6/308     Document Type: Article

References (15)

1. Afshari A 1990 Identification de l'évolution d'un front de fusion/solidification par la résolution de l'équation inverse de la chaleur dans le domaine solide Thèse Université de Paris-Sud centre d'Orsay
2. Afshari A, Bénard C, Duhamel C and Guerrier B 1989 On-line identification of the state of the surface of a material undergoing thermal processing Proc. 5th IFAC Symp. on Control of Distributed Systems (Perpignan. France) pp 209-13
3. Afshari A, Bénard C, Duhamel C and Guerner B 1991 Problème inverse: suivi de l'évolution de la position d'un front de fusion à l'aide de mesure sur la phase solide J SFT Modélisation Thermique Industrielle
4. Alifanov O M 1994 Inverse Heat Transfer Problems (Berlin: Springer)
5. Bénard C and Afshari A 1991 Front tracking for the control of solid-liquid phase change process Proc. 7th Int Conf. Numerical Methods in Thermal Problem (Stanford) vol 7, pp 186-98
6. Broyden C G 1970 The convergence of a class of double-rank minimization algorithm J. Int. Math Appl. 6 76-90
7. Carslaw H S and Jaeger J C 1959 Conduction of Heat in Solids (Oxford: Oxford University Press)
8. Colton D and Reemtsen R 1984 The solution of inverse Stefan problem in two space variables SIAM J Appl. Math. 5996-1013
9. Gold'man N L 1997 Inverse Stefan Problems (Dordrecht: Kluwer)
10. Jochum P 1980 The inverse Stefan problem as a problem of nonlinear approximation theory J Approx 30 81-98
11. Jochum P 1982 The numerical solution of the inverse Stefan problem Numer Math. 34 411-29
12. Katz M A and Reemtsen R 1984 An inverse finite element technique to determine the change of phase interface location in one dimensional melting problem Numer Heat Transfer 7 269-83
13. Reemtsen R and Kirsch A 1984 A method for the numerical solution of the one-dimensional inverse Stefan problem Numer. Math, 45 253-73
14. Shanno D F 1970 Conditioning of quasi-Newton methods for function minimization Math. Comput. 24 647-56
15. Wang X. Rosset-Louërat M M and Bénard C 1992 Inverse problem: identification of a melting front in the 2D case Int. Ser. Numer. Math. 107 99-110