Dispersion Characteristics and Applications of Higher Order Isosceles Triangular Meshes in the Finite Element Method
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 dispe...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Open Journal of Antennas and Propagation |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10312792/ |
| _version_ | 1797319584186892288 |
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| author | Yuhua Niu Jinbo Liu Wen Luo Zengrui Li Jiming Song |
| author_facet | Yuhua Niu Jinbo Liu Wen Luo Zengrui Li Jiming Song |
| author_sort | Yuhua Niu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T04:09:06Z |
| format | Article |
| id | doaj.art-e72253d3c54d4044a80ce0feabe79490 |
| institution | Directory Open Access Journal |
| issn | 2637-6431 |
| language | English |
| last_indexed | 2024-03-08T04:09:06Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of Antennas and Propagation |
| spelling | doaj.art-e72253d3c54d4044a80ce0feabe794902024-02-09T00:04:00ZengIEEEIEEE Open Journal of Antennas and Propagation2637-64312023-01-0141171117510.1109/OJAP.2023.333121710312792Dispersion Characteristics and Applications of Higher Order Isosceles Triangular Meshes in the Finite Element MethodYuhua Niu0https://orcid.org/0009-0007-6379-3289Jinbo Liu1https://orcid.org/0000-0002-8229-9098Wen Luo2https://orcid.org/0000-0001-8958-7175Zengrui Li3https://orcid.org/0000-0002-7351-119XJiming Song4https://orcid.org/0000-0001-9543-9275State Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, ChinaState Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, ChinaSchool of Physics and Electronic Science, Guizhou Normal University, Guiyang, ChinaState Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, ChinaState Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, ChinaMesh 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.https://ieeexplore.ieee.org/document/10312792/Dispersion errorequilateral triangular meshesfinite element method (FEM)isosceles triangular meshessquares |
| spellingShingle | Yuhua Niu Jinbo Liu Wen Luo Zengrui Li Jiming Song Dispersion Characteristics and Applications of Higher Order Isosceles Triangular Meshes in the Finite Element Method IEEE Open Journal of Antennas and Propagation Dispersion error equilateral triangular meshes finite element method (FEM) isosceles triangular meshes squares |
| title | Dispersion Characteristics and Applications of Higher Order Isosceles Triangular Meshes in the Finite Element Method |
| title_full | Dispersion Characteristics and Applications of Higher Order Isosceles Triangular Meshes in the Finite Element Method |
| title_fullStr | Dispersion Characteristics and Applications of Higher Order Isosceles Triangular Meshes in the Finite Element Method |
| title_full_unstemmed | Dispersion Characteristics and Applications of Higher Order Isosceles Triangular Meshes in the Finite Element Method |
| title_short | Dispersion Characteristics and Applications of Higher Order Isosceles Triangular Meshes in the Finite Element Method |
| title_sort | dispersion characteristics and applications of higher order isosceles triangular meshes in the finite element method |
| topic | Dispersion error equilateral triangular meshes finite element method (FEM) isosceles triangular meshes squares |
| url | https://ieeexplore.ieee.org/document/10312792/ |
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