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PARTIAL HOMOGENIZATION OF THE DIFFUSION EQUATION WITH A DIRAC-LIKE POTENTIAL
International Journal for Multiscale Computational Engineering ( IF 1.4 ) Pub Date : 2020-01-01 , DOI: 10.1615/intjmultcompeng.2020035521
Latifa Ait Mahiout , Gregory P. Panasenko , Vitaly Volpert

The paper is devoted to the diffusion equation, with the Dirac-like periodic potential having different structure in two parts of the domain. The problem can be homogenized in one part of the domain while the standard homogenization does not work in the other. We introduce and test numerically the method of partial homogenization, combining in one multiscale model the homogenized and discrete description.

中文翻译:

具有Dirac势的扩散方程的部分同质化

本文致力于扩散方程,在区域的两个部分中具有类似Dirac的周期性电势具有不同的结构。该问题可以在域的一部分中被均质化,而标准均质化在另一部分中不起作用。我们介绍并数值测试了部分均化的方法,在一个多尺度模型中结合了均化和离散的描述。
更新日期:2020-01-01
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