Die optimal shape design for crystal growth process

Stéphane Despréaux (1) , Patrick Witomski (1) , Thierry Duffar (2)

1 LMC - IMAG - Laboratoire de Modélisation et Calcul
2 EPM - Elaboration par procédés magnétiques

The optimal shape design of the die in a crystal growth process is carried on. In the first part, the physical problem and its modelization are presented. In the second part, the mathematical problem which consists in solving an optimal shape design based on transformation of domains is treated. The basic notions of this technique are briefly recalled and the numerical algorithm is explained in detail. Then, in the last part, numerical results are presented.

Mots clés: Shaped crystal growth; Die; Mean curvature equation; Domains transformation technique; Optimization

Domaines: Equations aux dérivées partielles [math.AP]

Stéphane Despréaux, Patrick Witomski, Thierry Duffar. Die optimal shape design for crystal growth process. Journal of Crystal Growth, 2000, 209 (4), pp.983-993. ⟨10.1016/S0022-0248(99)00481-9⟩. ⟨hal-00388352⟩