| Summary: | 博士 === 國立臺灣大學 === 電信工程學研究所 === 96 === Hybrid methods combining time-domain full-wave electromagnetic simulation and Krylov subspace based model order reduction techniques are proposed for efficiently obtaining the late-time responses of closed systems. In general, model order reduction process is applied after the sources fade to zero for extracting the active modes in the system. Late-time responses are then constructed by the linear combination of the extracted modes. Taking advantage of the space information, only few direct time domain iterations are required after the sources fade to zero with additional round-trip time before the extraction of the excited modes. After the dominant modes are properly extracted, the late time response of the system can be easily reconstructed by analytic expressions. With the proposed hybridizing techniques, existing codes of time-domain simulation can be resorted. Several numerical examples are provided for the verification of the correctness, efficiency, convergence, and complexity of the proposed hybrid methods, which show that with only very few iterations of model order reduction, good agreement can be achieved between the results of the proposed hybrid methods and those obtained from direct time-domain iterations.
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