Re-Compressed H-Matrices for Fast Electric Field Integral Equation

Negi, YK and Padhy, VP and Balakrishnan, N (2020) Re-Compressed H-Matrices for Fast Electric Field Integral Equation. In: 6th IEEE International Conference on Computational Electromagnetics, ICCEM 2020, 24-26 Aug 2020, Singapore, pp. 176-177.

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Abstract

In this paper, an improved Re-Compressed H- Matrix is presented. Improvement with respect to accuracy and memory saving is shown compared to conventional H-Matrix. Improvement is obtained by extracting the orthogonal components of the compressed matrices for higher error tolerance and re-compressing it with Singular Value Decomposition (SVD) for the desired tolerance. The method maintains the compression cost of r2 (m + n) , storage and matrix-vector product cost of r(m + n) for a low-rank matrix block of rank r and size mXn. © 2020 IEEE.

Item Type:	Conference Paper
Publication:	Proceedings of the 2020 IEEE International Conference on Computational Electromagnetics, ICCEM 2020
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright of this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords:	Electric fields; Integral equations; Singular value decomposition, Electric field integral equation; Error tolerance; H matrix; H-matrices; Low-rank matrices; Matrix-vector products; Memory savings; Orthogonal components, Computational electromagnetics
Department/Centre:	Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre
Date Deposited:	16 Feb 2021 10:57
Last Modified:	16 Feb 2021 10:57
URI:	http://eprints.iisc.ac.in/id/eprint/67399

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