Plasma and Fusion Research

Volume 15, 2401026 (2020)

Regular Articles

Hybrid Method Incorporated with Meshless Approach for Electromagnetic Wave Simulation
Ayumu SAITOH, Takazumi YAMAGUCHI1), Atsushi KAMITANI and Hiroaki NAKAMURA2,3)
Yamagata University, Yonezawa, Yamagata 992-8510, Japan
1)
SOKENDAI, Toki, Gifu 509-5292, Japan
2)
National Institute for Fusion Science, Toki, Gifu 509-5292, Japan
3)
Nagoya University, Nagoya, Aichi 464-8603, Japan
(Received 4 December 2019 / Accepted 24 February 2020 / Published 11 May 2020)

Abstract

The hybrid method based on the collocation element-free Galerkin method and the boundary element method has been applied to the 2D steady-state scattering problem of the electromagnetic wave. In addition, the performance of the proposed method has been investigated numerically. In this study, the numerical solution of the proposed method has been obtained by using the GMRES(m) method for the complex linear system. The results of computations show that the relatively smooth distribution of electric field is obtained regardless of the boundary shape. Therefore, it is found that the proposed method can be used as one of the tools for solving the 2D steady-state scattering problems of the electromagnetic wave.

Keywords

electromagnetic wave simulation, element-free Galerkin method, boundary element method, Helmholtz equation, 2D steady-state scattering problem

DOI: 10.1585/pfr.15.2401026

Full Text

PDF format (1.2Mbytes) PDF Download

References

  • [1] K. Yee, IEEE Trans. Antennas Propag. 14(3), 302 (1966).
  • [2] H. Nakamura, N. Kashima, A. Takayama, K. Sawada, Y. Tamura, S. Fujiwara and S. Kubo, J. Phys. Conf. Series 410, 012046 (2013).
  • [3] Y. Fujita, S. Ikuno, S. Kubo and H. Nakamura, Jpn. J. Appl. Phys. 55, 01AH06 (2015).
  • [4] Z. Xiang and Y. Lu, Prog. Electromagnetics Res. 22, 107 (1999).
  • [5] F. Casenave, A. Ern and G. Sylvnd, J. Comput. Phys. 257(A), 627 (2014).
  • [6] T. Belytchko, Y.Y. Lu and L. Gu, Int. J. Numer. Methods Eng. 37, 229 (1994).
  • [7] S.N. Atluri and T. Zhu, Comput. Mech. 22(2), 117 (1998).
  • [8] A. Kamitani, T. Takayama, T. Itoh and H. Nakamura, Plasma Fusion Res. 6, 2401074 (2011).
  • [9] A. Saitoh, K. Miyashita, T. Itoh, A. Kamitani, T. Isokawa, N. Kamiura and N. Matsui, IEEE Trans. Magn. 49(5), 1601 (2013).