| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1710039 | Applied Mathematics Letters | 2009 | 6 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Guojun Liao, Xianxing Cai, Jie Liu, Xiaonan Luo, Jianmin Wang, Jiaxing Xue,