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Multi-level Power Series Solution for Large Surface and Volume Electric Field Integral Equation

Negi, YK and Narayanaswamy, B and Rao, SM (2023) Multi-level Power Series Solution for Large Surface and Volume Electric Field Integral Equation. In: Applied Computational Electromagnetics Society Journal, 38 (5). pp. 297-303.

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Official URL: https://doi.org/10.13052/2023.ACES.J.380501

Abstract

In this paper, we propose a new multi-level power series solution method for solving a large surface and volume electric field integral equation-based H-Matrix. The proposed solution method converges in a fixed number of iterations and is solved at each level of the H-Matrix computation. The solution method avoids the computation of a full matrix, as it can be solved independently at each level, starting from the leaf level. Solution at each level can be used as the final solution, thus saving the matrix computation time for full H-Matrix. The paper shows that the leaf level matrix computation and solution with power series gives as accurate results as the full H-Matrix iterative solver method. The method results in considerable savings time and memory savings compared to the H-Matrix iterative solver. Further, the proposed method retains the O(NlogN) solution complexity. © ACES.

Item Type: Journal Article
Publication: Applied Computational Electromagnetics Society Journal
Publisher: Applied Computational Electromagnetics Society (ACES)
Additional Information: The copyright for this article belongs to Authors.
Keywords: Electric fields; Integral equations; Iterative methods; Matrix algebra, Electricfield integral equation (EFIE); H matrix; Matrix computation; Method of moment; Power series solutions; Solution methods; Surface electric field integral equation; Surface electric fields; Volume electric field integral equation, Method of moments
Department/Centre: Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre
Date Deposited: 04 Mar 2024 07:24
Last Modified: 04 Mar 2024 07:24
URI: https://eprints.iisc.ac.in/id/eprint/84276

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