Memory reduced half hierarchal matrix (H-matrix) for electrodynamic electric field integral equation

Negi, YK (2021) Memory reduced half hierarchal matrix (H-matrix) for electrodynamic electric field integral equation. In: Progress in Electromagnetics Research Letters, 96 . pp. 91-96.

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Abstract

his letter shows 50 percent memory saving for a Hierarchal Matrix (H-matrix) by converting a regular H-matrix to symmetric H-matrix for large and complex electrodynamic problems. Only the upper diagonal near-field and compressed far-field matrix blocks of the H-matrix are stored. Far-field memory saving is achieved by computing and keeping the upper diagonal far-field blocks leading to compressed column block U and row block V at a level. Due to symmetry, the lower diagonal far-field H-matrix compressed column is transpose of V, and the compressed row block is transpose of U. Storage and computation of lower diagonal blocks are not required. Similarly, in the case of near-field, only the upper diagonal near-field blocks are computed and stored. Numerical results show that the proposed memory reduction procedure retains the accuracy and cost of regular H-matrix

Item Type:	Journal Article
Publication:	Progress in Electromagnetics Research Letters
Publisher:	Electromagnetics Academy
Additional Information:	The copyright for this article belongs to the Electromagnetics Academy.
Keywords:	Electric fields; Electrodynamics; Integral equations, Compressed column; Electric field integral equation; Electrodynamic problem; Far field; Memory reduction; Memory savings; Near fields; Numerical results, Matrix algebra
Department/Centre:	Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre
Date Deposited:	28 Oct 2023 02:48
Last Modified:	28 Oct 2023 02:48
URI:	https://eprints.iisc.ac.in/id/eprint/82783

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