The appearance of microstructures in problems with incompatible wells and their numerical approach
The appearance of microstructures in problems with incompatible wells and their numerical approach
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DOI：
10.1007/s002110050452
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发表时间：
1999-09
影响因子：
2.1
通讯作者：
M. Chipot
中科院分区：
文献类型：
--
作者：
M. Chipot
分析了威尔斯变分问题中微观结构的产生。更确切地说，我们考虑的情况下，强不兼容的威尔斯之间。这迫使最小化序列以令人费解的方式使用其他梯度而不是威尔斯。使用方法，我们就能够挑选出离散的最小化序列，并给出能量估计的网格大小。
The goal of the paper is to analyze the creation of microstructure in problems of Calculus of Variations with wells. More precisely we consider a case with strong incompatibility between the wells. This forces the minimizing sequences to use other gradients than the wells in a puzzling way. Using amethod we are then able to single out discrete minimizing sequences and to give energy estimates in terms of the mesh size.