TY - JOUR
T1 - An Arbitrary High Order SETD Method With Local Time-Stepping
T2 - Exponential Convergence and Computational Efficiency for Multiscale Electromagnetic Analysis
AU - Bao, Huaguang
AU - Li, Chunyu
AU - Zhang, Tiancheng
AU - Ding, Dazhi
AU - Werner, Douglas H.
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2025/11
Y1 - 2025/11
N2 - An arbitrary high order spectral-element time-domain method with local time-stepping (LTS-ADER-SETD) is proposed for transient electromagnetics simulation. An expression for the second-order wave-equation-based LTS-ADER-SETD method is comprehensively derived by replacing the time derivatives with space derivatives. Innovatively, this technology achieves subdomain coupling without temporal synchronization constraints, enabled by a unified treatment of local time-stepping (LTS) scheme. The proposed method achieves exponential error reduction with increasing spatiotemporal discretization order while significantly enhancing computational efficiency in multiscale electromagnetic analysis. Numerical convergence results demonstrate the high accuracy in both the space domain and time domain, even with an extremely large time step ratio. Further validation is provided, indicating the proposed method is computationally efficient for electromagnetic problems with strongly varying element sizes.
AB - An arbitrary high order spectral-element time-domain method with local time-stepping (LTS-ADER-SETD) is proposed for transient electromagnetics simulation. An expression for the second-order wave-equation-based LTS-ADER-SETD method is comprehensively derived by replacing the time derivatives with space derivatives. Innovatively, this technology achieves subdomain coupling without temporal synchronization constraints, enabled by a unified treatment of local time-stepping (LTS) scheme. The proposed method achieves exponential error reduction with increasing spatiotemporal discretization order while significantly enhancing computational efficiency in multiscale electromagnetic analysis. Numerical convergence results demonstrate the high accuracy in both the space domain and time domain, even with an extremely large time step ratio. Further validation is provided, indicating the proposed method is computationally efficient for electromagnetic problems with strongly varying element sizes.
UR - https://www.scopus.com/pages/publications/105012185408
UR - https://www.scopus.com/pages/publications/105012185408#tab=citedBy
U2 - 10.1109/TMTT.2025.3586676
DO - 10.1109/TMTT.2025.3586676
M3 - Article
AN - SCOPUS:105012185408
SN - 0018-9480
VL - 73
SP - 8564
EP - 8572
JO - IEEE Transactions on Microwave Theory and Techniques
JF - IEEE Transactions on Microwave Theory and Techniques
IS - 11
ER -