Author/Authors :
Liao، نويسنده , , Guojun and Cai، نويسنده , , Xianxing and Liu، نويسنده , , Jie-sheng Luo، نويسنده , , Xiaonan and Wang، نويسنده , , Jianmin and Xue، نويسنده , , Jiaxing، نويسنده ,
Abstract :
Construction of invertible transformations using differential equations is an interesting and challenging mathematical problem with important applications. We briefly review the existing method by means of harmonic maps in 2D and propose a method of constructing differentiable, invertible transformations between domains in two and three dimensions. Preliminary numerical results demonstrate the effectiveness of the method.
