Dispersion Characteristics and Applications of Higher Order Isosceles Triangular Meshes in the Finite Element Method

被引：1

作者：

Niu, Yuhua ^{[1
,2
]}

Liu, Jinbo ^{[1
,2
]}

Luo, Wen ^{[3
]}

Li, Zengrui ^{[1
,2
]}

Song, Jiming ^{[1
,2
,4
]}

机构：

[1] Commun Univ China, State Key Lab Media Convergence & Commun, Beijing 100024, Peoples R China

[2] Commun Univ China, Sch Informat & Commun Engn, Beijing 100024, Peoples R China

[3] Guizhou Normal Univ, Sch Phys & Elect Sci, Guiyang 550025, Peoples R China

[4] Iowa State Univ, Dept Elect & Comp Engn, Ames, IA 50011 USA

来源：

IEEE OPEN JOURNAL OF ANTENNAS AND PROPAGATION | 2023年 / 4卷

基金：

中国国家自然科学基金;

关键词：

Finite element analysis; Dispersion; Interpolation; Mathematical models; Transmission line matrix methods; Rectangular waveguides; Propagation; Dispersion error; equilateral triangular meshes; finite element method (FEM); isosceles triangular meshes; squares; NUMERICAL DISPERSION; NODAL ELEMENTS; DISCRETIZATION; EQUATIONS;

D O I：

10.1109/OJAP.2023.3331217

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：

Mesh division plays an important role in applications of the finite element method (FEM). The proposed research shows that under the same order, the equilateral triangular meshes have the most uniform dispersion distribution. The isosceles triangles with equal base and height have more uniform dispersion error than the square meshes, while the maximum phase error is similar. Taking the rectangular waveguide as an example, the relative errors in the cut-off frequency are analyzed based on different meshes. The numerical results show that under the same interpolation order and node numbers, the relative error of isosceles triangles with equal base and height for TE10 mode is the smallest. The results are useful in choosing appropriate element order, node density and mesh shape when applying FEM.

引用

页码：1171 / 1175

页数：5

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