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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 nested complex source beam (NCSB) method based on octree structure is proposed to accelerate the method-of-moments (MoM) solution for three-dimensional (3-D) electromagnetic scattering analysis. At the finest level, the far-field contribution of each basis function is expressed with that of complex source beams (CSBs) distributed on the equivalent sphere surface for every group. Furthermore, the...
We introduce a kernel-independent wideband nested equivalent source approximation method. The nested equivalent source approximation (NESA), proposed by these authors to solve low frequency problems with linear complexity, is extended here to electrically large multiscale structures. The low frequency algorithm is directly employed at the bottom levels of an Octree clustering; in the high frequency...
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...
A Time Domain Integral Equation (TDIE) approach combined with Impedance Boundary Condition (IBC) for analysis of transient scattering by conductors coated with absorbing material is developed. The IBC is considered to be dependent on local incident direction and polarization property. Numerical results are compared with the analytical MIE series solutions and found in good agreements, demonstrating...
An efficient method for analysis of the ultra-wide band (UWB) antenna is proposed, the UWB microstrip antennas are analyzed by the mixed potential integral equation (MPIE). The produced dense impedance matrix is partitioned and compressed hierarchically by the multilevel UV method. And the linear systems are solved by the generalized minimal residual method (GMRES) iterative solver, the required matrix-vector...
In this paper, the UV method is utilized to reduce both the memory requirement and computational complexity in time-domain combined field integral equation (TD-CFIE) method to analyze scattering from arbitrarily shaped conducting structures. The UV method takes advantage of the rank-deficiency feature and it is kernel-independent. Different orders of weighted Laguerre polynomials are used as temporal...
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