各向异性边界最优划分问题的数值研究
Numerical study of optimal partitioning problems in relation to an anisotropic perimeter
摘要:
我们提出了一个$Γ$ -收敛近似的总各向异性长度的分区。这一理论结果产生了一个数值方法,它允许研究的最小分区相对于不同的各向异性。我们也给出了一个数值框架的研究等周问题与密度。
英文摘要:
We present a $Γ$-convergence approximation for the total anisotropic length of a partition. This theoretical result gives rise to a numerical method which allows the study of minimal partitions with respect to different anisotropies. We also give a numerical framework for the study of isoperimetric problems with density.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。