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General Information
Editor-in-chief
Prof. Wael Badawy
Department of Computing and Information Systems Umm Al Qura University, Canada
I'm happy to take on the position of editor in chief of IJCTE. We encourage authors to submit papers concerning any branch of computer theory and engineering.
IJCTE 2014 Vol.6(6): 495-499 ISSN: 1793-8201
DOI: 10.7763/IJCTE.2014.V6.916

On the Accuracy of Spectral Element Method in Electromagnetic Scattering Problems

I. Mahariq, H. I. Tarman, and M. Kuzuoğlu
Abstract—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.

Index Terms—Aspect ratio, electromagnetic scattering, PML SEM.

I. Mahariq is with Middle East Technical University, Turkey (e-mail: ibmahariq@gmail.com).
H. I. Tarman is with the Dept. of Engineering Sciences in Middle East Technical University, Ankara, Turkey (e-mail: tarman@metu.edu.tr).
M. Kuzuoğlu is with the Dept. of Electrical and Electronics Eng. in Middle East Technical University (e-mail: kuzuoglu@metu.edu.tr).

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Cite:I. Mahariq, H. I. Tarman, and M. Kuzuoğlu, "On the Accuracy of Spectral Element Method in Electromagnetic Scattering Problems," International Journal of Computer Theory and Engineering vol. 6, no. 6, pp. 495-499, 2014.

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