Efficient EM scattering analysis based on MoM, HSS direct solver, and RRQR decomposition

A novel technique is presented for efficient electromagnetic (EM) scattering analysis based on a double (geometrical and current-approximation) higher order method of moments (MoM) in the surface integral equation (SIE) formulation in conjunction with a fast parallel direct solver for dense linear s...

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Bibliographic Details
Published in2015 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting pp. 1660 - 1661
Main Authors Manic, Ana B., Notaros, Branislav M., Rouet, Francois-Henry, Li, Xiaoye Sherry
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2015
Subjects
Approximation methods
Binary trees
Integral equations
Matrix decomposition
Memory management
Method of moments
Scattering
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Summary:A novel technique is presented for efficient electromagnetic (EM) scattering analysis based on a double (geometrical and current-approximation) higher order method of moments (MoM) in the surface integral equation (SIE) formulation in conjunction with a fast parallel direct solver for dense linear systems using hierarchically semiseparable structures (HSS). MoM-SIE matrix blocks are replaced by their low-rank approximations obtained by the rank-revealing QR (RRQR) decomposition for memory compression. Numerical example shows a dramatic memory compression using the novel method while preserving the accuracy of the solution.
ISSN:1522-3965
1947-1491
DOI:10.1109/APS.2015.7305219