On the Computation of the Rank-One Convex Hull of a Function

On the Computation of the Rank-One Convex Hull of a Function
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DOI:
10.1137/s1064827599362028
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发表时间:
2000-05
期刊:
SIAM J. Sci. Comput.
影响因子:
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通讯作者:
E. Aranda;P. Pedregal
E. Aranda;P. Pedregal
中科院分区:
其他
文献类型:
--
作者:
E. Aranda;P. Pedregal

文献摘要

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我们报告了几个计算能量密度的一阶凸化的数值实验。这些明确的例子涵盖了人们可能遇到的所有典型情况。其中一个与计算结晶固体的微观结构特别相关。
We report on several numerical experiments where the rank-one convexification of an energy density is computed. The explicit examples cover a whole spectrum of typical situations one may encounter. One of those is especially relevant for the computation of microstructures in crystalline solids.