TY - GEN
T1 - Mixed Discretization Scheme Based Discontinuous Galerkin Domain Decomposition Method for Multi-scale Objects
AU - Li, Yan Ning
AU - Guo, Guo Qiang
AU - Zhang, Yi
AU - Chen, Wen Xi
AU - Liang, Ziyang
AU - Gao, Hong Wei
N1 - Publisher Copyright:
© 2024 IEEE.
PY - 2024
Y1 - 2024
N2 - The discontinuous Galerkin (DG)-based domain decomposition method (DDM) for the surface integral equation (SIE) has been proven to be an effective numerical method for modeling multi-scale electromagnetic (EM) problems. This paper aims to further improve the accuracy of the DG-SIE by incorporating a mixed discretization scheme (MDS) built upon Buffa-Christiansen (BC) functions. To this end, we first discuss a special case for constructing BC functions and make it suitable for discretizing the open-surface subdomains generally involved in the DDM framework. In the MDS within the combined field integral equation-based DG method (DG-CFIE), the BC functions act as testing functions for the magnetic field integral equation (MFIE), whereas the Rao-Wilton-Glisson (RWG) basis functions are utilized for discretizing the electric field integral equation (EFIE). Numerical experiments demonstrate that the DG-CFIE employing the new mixed discretization scheme has notably improved accuracy while preserving the previous good properties of flexibility and fast convergence.
AB - The discontinuous Galerkin (DG)-based domain decomposition method (DDM) for the surface integral equation (SIE) has been proven to be an effective numerical method for modeling multi-scale electromagnetic (EM) problems. This paper aims to further improve the accuracy of the DG-SIE by incorporating a mixed discretization scheme (MDS) built upon Buffa-Christiansen (BC) functions. To this end, we first discuss a special case for constructing BC functions and make it suitable for discretizing the open-surface subdomains generally involved in the DDM framework. In the MDS within the combined field integral equation-based DG method (DG-CFIE), the BC functions act as testing functions for the magnetic field integral equation (MFIE), whereas the Rao-Wilton-Glisson (RWG) basis functions are utilized for discretizing the electric field integral equation (EFIE). Numerical experiments demonstrate that the DG-CFIE employing the new mixed discretization scheme has notably improved accuracy while preserving the previous good properties of flexibility and fast convergence.
KW - Buffa - Christiansen (BC) basis function
KW - discontinuous Galerkin (DG) method
KW - domain decomposition method (DDM)
KW - multi-scale problems
KW - surface integral equation
UR - http://www.scopus.com/inward/record.url?scp=85207499007&partnerID=8YFLogxK
U2 - 10.1109/ACES-China62474.2024.10699786
DO - 10.1109/ACES-China62474.2024.10699786
M3 - Conference contribution
AN - SCOPUS:85207499007
T3 - 2024 International Applied Computational Electromagnetics Society Symposium, ACES-China 2024 - Proceedings
BT - 2024 International Applied Computational Electromagnetics Society Symposium, ACES-China 2024 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2024 International Applied Computational Electromagnetics Society Symposium, ACES-China 2024
Y2 - 16 August 2024 through 19 August 2024
ER -