Multilevel Green’s Function Interpolation Method: An Interpolation-based Solver for Efficient Analysis of Large-scale Electromagnetic Problems

Authors: Peng Zhao(1,2), Da Qing Liu(2) and Chi Hou Chan(2)

Source: FERMAT,VOLUME 13,ARTICLE,SEP-OCT,2015


Abstract: An efficient algorithm for fast field evaluation, namely multilevel Green’s function interpolation method (MLGFIM), has been successfully applied to solve electromagnetic problems for both low frequency and full-wave. Further refinements, including new interpolation scheme, QR factorization, and FFT technique, have been applied to accelerate this algorithm and extend the problem scale that MLGFIM can solve. In this paper, we present a review of different techniques in MLGFIM for the fast evaluations of large-scale electromagnetic problems. The applications of simulating periodic structures and layered mediums have been accelerated by MLGFIM as well. Some numerical examples are given in this paper to demonstrate the accuracy and efficiency of this algorithm.

Index Terms: Method of Moments (MoM), Green’s Function Interpolation, Fast Solver, Parallel Computing, FFT.


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Multilevel Green’s Function Interpolation Method: An Interpolation-based Solver for Efficient Analysis of Large-scale Electromagnetic Problems