[Table of Contents]

Plasma and Fusion Research

Volume 9, 3401144 (2014)

Regular Articles

Faster Generation of Shape Functions in Meshless Time Domain Method
Yoshiharu OHI, Yoshihisa FUJITA1), Taku ITOH2), Hiroaki NAKAMURA3) and Soichiro IKUNO2)
RIKEN Advanced Institute for Computational Science, Chuo-ku, Kobe, Hyogo 650-0047, Japan
Department of Energy Engineering and Science, Nagoya University, Toki, Gifu 509-5292, Japan
School of Computer Science, Tokyo University of Technology, Hachioji, Tokyo 192-0982, Japan
National Institute for Fusion Science, Toki, Gifu 509-5292, Japan
(Received 11 December 2013 / Accepted 3 September 2014 / Published 17 December 2014)


The finite difference time domain method (FDTDM) is a robust numerical scheme for time-dependent electromagnetic wave propagation phenomena that uses orthogonal meshes, like staggered meshes, also known as Yee lattices. However, treating complex shaped domains is challenging for the FDTDM. Meshless methods, in contrast, do not require meshes for a geometrical structure. The meshless time domain method (MTDM), based on the radial point interpolation method, can be used for numerical simulations in computational electromagnetics. In MTDM, shape functions have to be generated before the time-dependent calculation, and the computational cost involved can be very large. We herein propose a new method for reducing the computational cost of generating shape functions and we confirm the effectiveness of the proposed method by numerical experiments.


finite difference time domain method, meshless time domain method, radial point interpolation method

DOI: 10.1585/pfr.9.3401144


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This paper may be cited as follows:

Yoshiharu OHI, Yoshihisa FUJITA, Taku ITOH, Hiroaki NAKAMURA and Soichiro IKUNO, Plasma Fusion Res. 9, 3401144 (2014).