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PIER PIER B PIER C PIER M PIER Letters
2015-12-16
The Unifed-FFT Grid Totalizing Algorithm for Fast O(n Log n ) Method of Moments Electromagnetic Analysis with Accuracy to Machine Precision (Invited Paper)
By
Brian Rautio,

    Dr. Brian Rautio

    Sonnet Software, North Syracuse

    USA

    Homepage

Vladimir I. Okhmatovski,

    Prof. Vladimir I. Okhmatovski

    University of Manitoba

    Canada

    Homepage

Jay Kyoon Lee

    Dr. Jay Kyoon Lee

    Department of Electrical Engineering and Computer Science

    Syracuse University

    USA

    Homepage

Progress In Electromagnetics Research, Vol. 154, 101-114, 2015
doi:10.2528/PIER15110201
Abstract
While considerable progress has been made in the realm of speed-enhanced electromagnetic (EM) solvers, these fast solvers generally achieve their results through methods that introduce additional error components by way of geometric type approximations, sparse-matrix type approximations, multilevel type decomposition of interactions, and assumptions regarding the stochastic nature of EM problems. This work introduces the O(N logN) Uni ed-FFT grid totalizing (UFFT-GT) method, a derivative of method of moments (MoM), which achieves fast analysis with minimal to zero reduction in accuracy relative to direct MoM solution. The method uniquely combines FFT-enhanced Matrix Fill Operations (MFO) that are calculated to machine precision with FFT-enhanced Matrix Solve Operations (MSO) that are also calculated to machine precision, for an expedient solution that does not compromise accuracy.
Citation
Brian Rautio, Vladimir I. Okhmatovski, and Jay Kyoon Lee, "The Unifed-FFT Grid Totalizing Algorithm for Fast O(n Log n ) Method of Moments Electromagnetic Analysis with Accuracy to Machine Precision (Invited Paper)," Progress In Electromagnetics Research, Vol. 154, 101-114, 2015.
doi:10.2528/PIER15110201
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