A Butterfly-Accelerated Volume Integral Equation Solver for Broad Permittivity and Large-Scale Electromagnetic Analysis

Sayed, Sadeed Bin; Liu, Yang; Gomez, Luis J.; Yucel, Abdulkadir C.

doi:10.1109/tap.2021.3137193

Title: A Butterfly-Accelerated Volume Integral Equation Solver for Broad Permittivity and Large-Scale Electromagnetic Analysis

Journal Article · 27 December 2021 · IEEE Transactions on Antennas and Propagation

DOI: https://doi.org/10.1109/tap.2021.3137193 · OSTI ID:1881465

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^[2]; Gomez, Luis J. ^[3];

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Nanyang Technological Univ. (Singapore)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Purdue Univ., West Lafayette, IN (United States)

In this work, 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 log² N) construction cost of the HOD-BF-compressed system matrix and O(N log^1.5 N) inversion cost for the preconditioner, where N is the number of unknowns in the high-frequency EM scattering problem. For many practical scenarios, the proposed VIE solver requires less memory and computational time to construct the system matrix and obtain its approximate inverse compared to a H matrix-accelerated VIE solver. The accuracy and efficiency of the proposed solver have been demonstrated via its application to the EM analysis of large-scale canonical and real-world structures comprising of broad permittivity values and involving millions of unknowns.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: National Institutes of Health (NIH); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1881465

Journal Information:: IEEE Transactions on Antennas and Propagation, Journal Name: IEEE Transactions on Antennas and Propagation Journal Issue: 5 Vol. 70; ISSN 0018-926X

Publisher:: IEEECopyright Statement

Country of Publication:: United States

Language:: English

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Title: A Butterfly-Accelerated Volume Integral Equation Solver for Broad Permittivity and Large-Scale Electromagnetic Analysis

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