Post by Chao-Fu Wang

Dear Colleagues and Friends, We are very happy to share our recent paper on “An Arbitrarily High-Order FDTD Method With Local Time-Stepping for Electromagnetic Simulation of Multiscale Power Devices” published by IEEE Transactions on Microwave Theory and Techniques.   Title: An Arbitrarily High-Order FDTD Method With Local Time-Stepping for Electromagnetic Simulation of Multiscale Power Devices Co-Authors: Yan Peng; Tiancheng Zhang; Huaguang Bao; Dazhi Ding; Chao-Fu Wang; Zongguang Yu; Gui Wang  IEEE Access Link: https://lnkd.in/gCGPvM37                      In this article, a local time-stepping (LTS)-based arbitrary high-order finite-difference time-domain (LTS-ADER-FDTD) method is proposed for the efficient simulation of transient electromagnetic problems involving highly refined local structures. By adopting the arbitrary high-order (ADER) approach, the method converts temporal derivatives into spatial derivative operations, thereby achieving ADER accuracy in time discretization. Through nonuniform grid partitioning, the LTS strategy enables different regions to adaptively select time steps according to their spatial step sizes, significantly reducing the computational burden. The proposed approach ensures numerical stability and computational consistency during multitime-step advancement while maintaining high spatiotemporal synchronization. Both theoretical analysis and numerical experiments demonstrate that, compared to the conventional finite-difference time-domain (FDTD) method, the proposed algorithm considerably reduces the number of time iterations while preserving comparable computational accuracy, leading to a significant improvement in overall efficiency. This provides a robust and effective solution for the modeling and simulation of complex multiscale electromagnetic problems.