Polygonal Finite Elements of Arbitrary Order

被引：1

作者：

Mukherjee, T. ^{[1
]}

Webb, J. P. ^{[1
]}

机构：

[1] McGill Univ, Dept Elect & Comp Engn, Montreal, PQ H3A 0E9, Canada

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2016年 / 52卷 / 03期

关键词：

Computational electromagnetics; finite-element analysis (FEA); magnetostatics;

D O I：

10.1109/TMAG.2015.2487245

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Finite elements with the shape of arbitrary polygons have been previously described. Originally they were first-order, i.e., able to represent exactly all polynomials of degree 1 in the space coordinates, but recently polygonal finite elements (PFEs) up to order 3 have been reported. Here, we propose a general theory for generating PFEs of arbitrary order. They are hierarchical, allowing mixing of orders. Results for a wave problem and two magnetic field problems show the effectiveness of the elements up to order 5.

引用

页数：4

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