Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogenoues media
Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogenoues media
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非均匀介质热扩散第一特征值优化的数值研究
DOI：
10.1007/s13160-015-0177-5
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发表时间：
2015
影响因子：
0.9
通讯作者：
Kagame Matsue and Hisashi Naito
中科院分区：
文献类型：
--
作者：
K. Naokawa;M. Umehara and K. Yamada;Kagame Matsue and Hisashi Naito
本文研究了有界域上函数在若干约束条件下的第一本征值的优化问题。我们在不同的边界条件和不同的区域拓扑下考虑这一问题。因此，我们数值地观察到了几个常见的根据相应的特征函数来优化特征值的准则，这些准则与区域的拓扑结构和边界条件无关。对优化器的几何特征也进行了数值模拟。
In this paper, we study optimization of the first eigenvalue ofin a bounded domainunder several constraints for the function. We consider this problem in various boundary conditions and various topologies of domains. As a result, we numerically observe several common criteria forfor optimizing eigenvalues in terms of corresponding eigenfunctions, which are independent of topology of domains and boundary conditions. Geometric characterizations of optimizers are also numerically observed.