Zh. Ding et Dc. Lagoudas, A DOMAIN TRANSFORMATION TECHNIQUE IN OXYGEN DIFFUSION-PROBLEMS WITH MOVING OXIDATION FRONTS ON UNBOUNDED-DOMAINS, International journal for numerical methods in engineering, 42(2), 1998, pp. 361-384
In this paper we study numerical computations of oxygen diffusion prob
lems with a moving oxidation front on unbounded domains of planar, cyl
indrical and spherical geometrical shapes. A new domain transformation
technique of space variables and time variable is introduced in the a
pplication of the variable grid method for numerical computation of th
ese problems. Some upper bound estimates of oxidation fronts are obtai
ned. A numerical algorithm is proposed and discussed. (C) 1998 John Wi
ley & Sons, Ltd.