On the Accuracy of Spectral Element Method in Electromagnetic Scattering Problems

Date

2014-12-01

Author

Mahariq, İbrahim
Tarman, Işık Hakan
Kuzuoğlu, Mustafa

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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Spectral element method (SEM), which is known of its high accuracy, has been recently applied in solving electromagnetic problems governed by Maxwell’s equations. This paper investigates the accuracy of SEM in twodimensional, frequency-domain electromagnetic scattering problems where Helmholtz equation acts as the governing partial differential equation (PDE). As experience in meshing a problem in finite element method is important to obtain accurate results, the choice of elements in SEM, on the other hand, is important too. The aspect ratio in this paper is taken into account while studying the accuracy in a single element by utilizing the Green’s function. In addition, the scalar field scattered by a circular cylinder placed in front of an incident plane wave is solved after truncating the domain by perfectly matched layer. Numerical results show that one should carefully discretize the problem and keeping the aspect ratio close to unity as much as possible to guarantee accurate results.

Subject Keywords

Aspect ratio, electromagnetic scattering, PML SEM

URI

https://hdl.handle.net/11511/69628

Journal

International Journal of Computer Theory and Engineering

DOI

https://doi.org/10.7763/ijcte.2014.v6.916

Collections

Department of Mechanical Engineering, Article

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Citation Formats

İ. Mahariq, I. H. Tarman, and M. Kuzuoğlu, “On the Accuracy of Spectral Element Method in Electromagnetic Scattering Problems,” International Journal of Computer Theory and Engineering, pp. 495–499, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/69628.