A Time-Domain Localized Reduced Basis Multiscale Method for Large-Scale Electromagnetic Problems

In this article, a time-domain localized reduced basis multiscale (TD-LRBMS) method has been developed to efficiently establish a reduced-order model (ROM) for large-scale electromagnetic (EM) analysis. In the proposed TD-LRBMS method, the computational domain is divided into several nonoverlapping subdomains, and the transient EM fields are solved by the discontinuous Galerkin time-domain (DGTD) method. At the offline stage, a local reduced basis generation strategy is developed, which employs an incremental singular value decomposition (ISVD) technique and incorporates an automatic termination condition for temporal fields to enhance efficiency. Besides, to further improve the computational efficiencies at both offline and online stages, a local reduced basis compression technique is proposed, allowing for the separate selection of appropriate domain decomposition for the offline and online procedures. Numerical results are presented to demonstrate the effectiveness of the proposed TD-LRBMS method, including sophisticated capture of broadband EM characteristics and comprehensive reductions in computational time.