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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2017-04-13
Diagonal Factorization of Integral Equation Matrices via Localizing Sources and Orthogonally Matched Receivers
By
Robert Adams,

    Professor Robert Adams

    Department of Electrical Engineering

    University of Kentucky

    USA

    Homepage

John C. Young

    Dr. John C. Young

    Dept Elect & Elect Engn

    University of Kentucky

    USA

    Homepage

Progress In Electromagnetics Research M, Vol. 56, 1-10, 2017
doi:10.2528/PIERM16121201 | Google Scholar

Abstract
A procedure is reported to determine accurate, invertible, block-diagonal factorizations for matrices obtained by discretizing integral equation formulations of electromagnetic interaction problems. The algorithm is based on the combination of localizing source/receiver transformations with orthogonally matched receiver/source transformations. The resulting factorization provides a single, sparse data structure for the system matrix and its inverse, and no approximation is required to convert between the two. Numerical examples illustrate the performance of the factorization for electromagnetic scattering from perfectly conducting elliptical cylinders of different electrical size.
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Citation
Robert Adams, and John C. Young, "Diagonal Factorization of Integral Equation Matrices via Localizing Sources and Orthogonally Matched Receivers," Progress In Electromagnetics Research M, Vol. 56, 1-10, 2017.
doi:10.2528/PIERM16121201
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