Abstract
In this research, a discontinuous Galerkin frequency-domain (DGFD) method is proposed to solve the electromagnetic wave equations. Different to the explicit time-domain analysis, the electric-field and magnetic-field in frequency-domain wave equations are coupled together implicitly, thus the established matrix equation is globally coupled, which is computational expensive if solving it directly. To address this issue, a Block-diagonal preconditioner and a restriction operator are applied to the matrix equation, which splits the global matrix into a number of small local matrix systems pertinent to each subdomain. Then, a direct solver can be employed to solve them with a FETI-like procedure. Besides, to further speed up the wideband analysis, the asymptotic waveform evaluation (AWE) is implemented into the DGFD solver, which only needs to calculate a few frequency points in a broadband. To benchmark the proposed algorithm, a SIW filter is investigated.
Recommended Citation
S. M. Liu et al., "A Fast AWE-Augmented Wideband Discontinuous Galerkin Frequency-Domain Method In Solving Electromagnetic Wave Equations," 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings, pp. 1352 - 1353, Institute of Electrical and Electronics Engineers, Jan 2022.
The definitive version is available at https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886356
Department(s)
Electrical and Computer Engineering
International Standard Book Number (ISBN)
978-166549658-2
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Jan 2022
Comments
National Natural Science Foundation of China, Grant 62071290