An Improved Paralleling-in-Order Solving Scheme for AH-FDTD Method Using Eigenvalue Transformation

Author

Huang Zheng-Yu ; Shi Li-Hua ; Zhou Ying-Hui ; Chen Bin

Author_Institution

Nat. Key Lab. on Electromagn. Environ. Effects & Electro-Opt. Eng., PLA Univ. of Sci. & Technol., Nanjing, China

Volume

63

Issue

5

fYear

2015

fDate

May-15

Firstpage

2135

Lastpage

2140

Abstract

This paper describes a modification of the unconditionally stable finite difference time domain (FDTD) algorithm based on the Associated Hermite (AH) functions. The original method is involved with solving a banded nested matrix equation to calculate the AH expanding coefficients using lower-upper (LU) decomposition, which is the main cost for CPU time and memory storage. Here, the calculation of expansion coefficients is modified as a paralleling-in-order solving scheme by using the eigenvalue transformation, which greatly enhances the computational efficiency and reduces the memory storage. The numerical results demonstrate the performance of this improvement.

Keywords

eigenvalues and eigenfunctions; electromagnetic field theory; finite difference time-domain analysis; AH-FDTD method; associated Hermite functions; banded nested matrix equation; eigenvalue transformation; finite difference time domain; lower-upper decomposition; memory storage; paralleling-in-order solving scheme; transient electromagnetic problems; Eigenvalues and eigenfunctions; Equations; Finite difference methods; Mathematical model; Matrix decomposition; Memory management; Time-domain analysis; Associated Hermite (AH) functions; Associated Hermite functions; electromagnetic field; finite difference time domain (FDTD); unconditionally stable;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2015.2403874

Filename

7042728