Title :
Stability condition and numerical dispersion of wavelet Galerkin scheme-based precise integration time domain method
Author :
Sun, Gang ; Ma, Xikui ; Bai, Zhongming
Author_Institution :
State Key Lab. of Electr. Insulation & Power Equip., Xi´´an Jiaotong Univ., Xi´´an, China
Abstract :
In this paper, the stability condition and the numerical dispersion relation of the wavelet Galerkin scheme-based precise integration time domain (WG-PITD) method are derived in a Hilbert space. The Daubechies scaling functions with high order are used as the basis functions in the spatial discretization of the WG-PITD method. It is found that the time step size of the WG-PITD method can be of a value much larger than the Courant-Friedrich-Levy (CFL) stability limitation of the finite difference time domain (FDTD) method. The Daubechies scaling functions with higher order always give smaller numerical dispersion error in the WG-PITD method.
Keywords :
Galerkin method; Hilbert spaces; dispersion (wave); finite difference time-domain analysis; wavelet transforms; CFL stability limitation; Courant-Friedrich-Levy stability limitation; Daubechies scaling function; FDTD method; Hilbert space; WG-PITD method; finite difference time domain method; numerical dispersion error; numerical dispersion relation; precise integration time domain method; spatial discretization; stability condition; wavelet Galerkin scheme; Accuracy; Cavity resonators; Dispersion; Finite difference methods; Numerical stability; Stability analysis; Time domain analysis; Algorithm design and analysis; electromagnetic fields; numerical analysis; numerical stability; time domain analysis;
Conference_Titel :
Microwave Conference Proceedings (APMC), 2011 Asia-Pacific
Conference_Location :
Melbourne, VIC
Print_ISBN :
978-1-4577-2034-5
