New Type of Second-Order Tetrahedral Edge Elements by Reducing Edge Variables for Quasi-Static Field Analysis
New Type of Second-Order Tetrahedral Edge Elements by Reducing Edge Variables for Quasi-Static Field Analysis
复制标题
通过减少准静态场分析的边缘变量的新型二阶四面体边缘单元
DOI：
10.1109/tmag.2017.2749444
复制
发表时间：
2018
影响因子：
2.1
通讯作者：
Yasuhito Takahashi
中科院分区：
文献类型：
--
作者：
A. Ahagon;A. Kameari;H. Ebrahimi;K. Fujiwara;Yasuhito Takahashi
与一阶单元相比，二阶四面体边缘单元具有更好的磁场分析精度。然而，它们通常需要更高的计算成本，因为未知量较多，其中许多是冗余的。部分树测量方法只消除了一部分冗余的边缘变量，通常会降低总体计算成本。本文提出了一种新的二阶四面体边缘单元的部分树规化方法，将单元两侧的两条边统一为一条边，得到了一种新的二阶四面体边缘单元。利用所提出的单元对两个线性准静态磁场问题进行了分析，结果表明，在计算量方面，边缘统一比传统的部分树测量具有优越性。
Second-order tetrahedral edge elements afford much better accuracy in magnetic field analysis compared with first-order elements. However, they often entail higher computational cost due to the higher number of unknowns, many of them being redundant. The partial tree-gauging approach eliminates only a portion of the redundant edge variables, often reducing the overall computational cost. In this paper, we propose a new partial tree-gauging approach in second-order tetrahedral edge elements by unifying the two edges on the sides of elements into one, resulting in a new type of second-order tetrahedral edge element. Using the proposed elements in the analysis of two linear quasi-static magnetic field problems reveal the superiority of the edge unification over the conventional partial tree gauging in term of computational load.