A local discontinuous galerkin method for numerical computation of waveguide eigenvalue problems in polar coordinates

Siu Lau Ho; Yanpu Zhao; Weinong Fu

doi:10.1109/TMAG.2011.2173909

A local discontinuous galerkin method for numerical computation of waveguide eigenvalue problems in polar coordinates

Siu Lau Ho, Yanpu Zhao, Weinong Fu

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

2 Citations (Scopus)

Abstract

A numerical method for symmetric cylindrical and spherical waveguide eigenvalue problems is presented using local discontinuous Galerkin (LDG) method based on polar coordinates. The method has the merit of having high accuracy without geometrical triangulation errors on the curved boundaries of the solution domain. As an illustration, the formulation of the LDG schemes in both cylindrical polar coordinates and spherical polar coordinates are derived and several numerical examples are presented. Numerical results reported demonstrate that the proposed LDG method can be used readily to solve waveguide eigenvalue problems accurately.

Original language	English
Article number	6136776
Pages (from-to)	255-258
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	48
Issue number	2
DOIs	https://doi.org/10.1109/TMAG.2011.2173909
Publication status	Published - 1 Feb 2012

Keywords

Eigenvalue
local discontinuous Galerkin
polar coordinates
waveguide

ASJC Scopus subject areas

Electrical and Electronic Engineering
Electronic, Optical and Magnetic Materials

More information

10.1109/TMAG.2011.2173909

Cite this

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abstract = "A numerical method for symmetric cylindrical and spherical waveguide eigenvalue problems is presented using local discontinuous Galerkin (LDG) method based on polar coordinates. The method has the merit of having high accuracy without geometrical triangulation errors on the curved boundaries of the solution domain. As an illustration, the formulation of the LDG schemes in both cylindrical polar coordinates and spherical polar coordinates are derived and several numerical examples are presented. Numerical results reported demonstrate that the proposed LDG method can be used readily to solve waveguide eigenvalue problems accurately.",

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AU - Fu, Weinong

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AB - A numerical method for symmetric cylindrical and spherical waveguide eigenvalue problems is presented using local discontinuous Galerkin (LDG) method based on polar coordinates. The method has the merit of having high accuracy without geometrical triangulation errors on the curved boundaries of the solution domain. As an illustration, the formulation of the LDG schemes in both cylindrical polar coordinates and spherical polar coordinates are derived and several numerical examples are presented. Numerical results reported demonstrate that the proposed LDG method can be used readily to solve waveguide eigenvalue problems accurately.

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KW - local discontinuous Galerkin

KW - polar coordinates

KW - waveguide

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A local discontinuous galerkin method for numerical computation of waveguide eigenvalue problems in polar coordinates

Abstract

Keywords

ASJC Scopus subject areas

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