Construction of differentiable transformations
Construction of differentiable transformations
复制标题
可微变换的构建
DOI：
10.1016/j.aml.2009.01.060
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发表时间：
2009-10-01
影响因子：
3.7
通讯作者：
Xue, Jiaxing
中科院分区：
文献类型：
--
作者：
Liao, Guojun;Cai, Xianxing;Xue, Jiaxing
利用微分方程构造可逆变换是一个有趣且具有挑战性的数学问题，具有重要的应用。我们简要地回顾了现有的方法，通过调和映射在二维和三维域之间的构造可微，可逆的转换，提出了一种方法。初步的数值结果验证了该方法的有效性。(C)2009年由Elsevier Ltd出版
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. (C) 2009 Published by Elsevier Ltd