Title :
LU Decomposition Method in Calculating Electric Field Components of 2-D ADI-FDTD
Author :
Jie, Yang ; Yaobo, Li ; Bin, Chen ; Feng, Liu ; Zheng, Pan
Author_Institution :
Nanjing Eng. Inst., Luoyang
Abstract :
The alternating-direction implicit-finite-difference time-domain (ADI-FDTD) method is unconditionally stable. The method should solve systems of linear equations in calculating electric field components of 2-D ADI-FDTD. For the coefficient matrixes of the systems are 3- diagonal strip matrixes, this paper adopts LU decomposition method to solve the systems. The efficiency can be improved above 50%. And the validity and rapidity are verified through an example of 2-D TM wave propagating in vacuum.
Keywords :
electric fields; electromagnetic wave propagation; finite difference time-domain analysis; matrix algebra; 2D ADI-FDTD; 2D TM wave propagation; 3-diagonal strip matrixes; LU decomposition; alternating-direction implicit-finite-difference time-domain; coefficient matrixes; electric field component calculation; linear equations; vacuum; Antennas and propagation; Communications technology; Electromagnetic compatibility; Finite difference methods; Matrix decomposition; Microwave antennas; Microwave propagation; Partial differential equations; Strips; Time domain analysis; 3-diagonal strip matrix; ADI-FDTD method; LU decomposition method;
Conference_Titel :
Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, 2007 International Symposium on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4244-1045-3
Electronic_ISBN :
978-1-4244-1045-3
DOI :
10.1109/MAPE.2007.4393789
