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A hybrid spectral-element finite-difference time-domain (FDTD) method is proposed for electromagnetic simulation in this letter. This proposed hybrid method takes full advantage of the efficiency of FDTD method with the traditional Yee's grid and the flexibility of spectral-element time-domain method in modeling complex geometry, and it inherits the powerful ability in parallelism. Furthermore, the...
We propose the recent progress in fast integral multiscale simulations in our group in this contribution. Firstly, a wideband fast kernel independent fast solver is proposed. The equivalence sources on designed equivalence surface are introduced to obtain the nested low rank approximation. At the low to mid frequency, thanks to the nested low rank approximation, the computation complexity of the proposed...
A fast wideband electromagnetic scattering analysis method based on Taylor expansion and higher order hierarchical vector basis functions is proposed. By extracting a phase term from the green function, the remaining exponent term can be approximated by its truncated Taylor expansion. After that, some computationally intensive matrices related to the geometry of the object can be computed in advance...
A doubly hierarchical method of moments (MoM) is proposed for the analysis of large scale multiscale structures. The separate handling of the high and low frequency interactions of the MLMCM/MLFMA is exploited to efficiently analyze multi-scale structures; the resulting system is further preconditioned following the MR-ILU approach, which has proven successful for solving multi-scale complex structures...
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