Interface homogenization technique for unfitted finite element electromagnetic analysis
Interface homogenization technique for unfitted finite element electromagnetic analysis
复制标题
未拟合有限元电磁分析的界面均质化技术
DOI：
10.1109/tmag.2014.2361321
复制
发表时间：
2015
影响因子：
2.1
通讯作者：
T. Mifune
中科院分区：
文献类型：
--
作者：
Wilmar Martinez;Jun Imaoka and Masayoshi Yamamoto;T. Mifune
在某些有限元应用中，使用非拟合网格可以减轻涉及网格生成的任务的复杂性，尽管网格和材料界面的拟合不足可能导致界面周围的较大数值误差。本文提出了一种新的均匀化技术，减少了由于缺乏拟合所造成的误差。所提出的技术确定的材料属性的未拟合的元素，以保证数值解与解析解相一致，在最简单的情况下，在一个平面界面周围的两种材料的每一个领域是均匀的。数值试验证明了新方法的有效性。
In some finite-element applications, the use of an unfitted mesh can mitigate the complexity of tasks involving mesh generation, although the lack of fit of the mesh and material interface may cause a large numerical error around the interface. This paper presents a new homogenization technique that reduces the error caused by the lack of fit. The proposed technique determines the material properties of the unfitted elements, so as to guarantee that numerical solutions coincide with the analytical solution, in the simplest situation, where the field is uniform in each of the two materials around a flat interface. Numerical tests demonstrate the effectiveness of the new technique.