A Butterfly-Accelerated Volume Integral Equation Solver for Broad Permittivity and Large-Scale Electromagnetic Analysis
Sadeed B. Sayed,
Yang Liu,
Luis J. Gomez
et al.
Abstract:A butterfly-accelerated volume integral equation (VIE) solver is proposed for fast and accurate electromagnetic (EM) analysis of scattering from heterogeneous objects. The proposed solver leverages the hierarchical off-diagonal butterfly (HOD-BF) scheme to construct the system matrix and obtain its approximate inverse, used as a preconditioner. Complexity analysis and numerical experiments validate the O(N log 2 N ) construction cost of the HOD-BF-compressed system matrix and O(N 1.5 log N ) inversion cost for… Show more
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