An Efficient MLFMA Solution of Self-Dual Integral Equation for EM Analysis of Multiscale IBC Objects

Pengyuan Wang; Jintong Liu; Mang He

doi:10.1109/LAWP.2024.3520183

An Efficient MLFMA Solution of Self-Dual Integral Equation for EM Analysis of Multiscale IBC Objects

Pengyuan Wang, Jintong Liu, Mang He^*

^*Corresponding author for this work

School of Integrated Circuits and Electronics, Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

A fast and efficient method is proposed to analyze electromagnetic (EM) scattering of multiscale objects with impedance boundary condition (IBC). The self-dual integral equation (SDIE) in combination with the mixed-potential (MiP) multilevel fast multipole algorithm (MLFMA) is used to calculate EM scattering from the IBC targets, in which the incomplete-leaf (ICL) tree structure and interpolative-decomposition (InDe) based skeletonization technique is utilized to reduce excessive memory usage imposed by multiscale IBC targets meshed with large multiscale factor (MSF). A difference matrix generated from the near-field interactions by two grouping schemes is supplemented in the sparse approximate inverse (SAI) preconditioner to speed up the convergence of the iterative solvers. Numerical experiments demonstrate the effectiveness of the presented method.

Original language	English
Pages (from-to)	883-887
Number of pages	5
Journal	IEEE Antennas and Wireless Propagation Letters
Volume	24
Issue number	4
DOIs	https://doi.org/10.1109/LAWP.2024.3520183
Publication status	Published - 2025
Externally published	Yes

Keywords

Impedance boundary condition
incomplete-leaf tree
interpolative decomposition
multilevel fast multipole algorithm
multiscale
self-dual integral equation (SDIE)

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10.1109/LAWP.2024.3520183

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title = "An Efficient MLFMA Solution of Self-Dual Integral Equation for EM Analysis of Multiscale IBC Objects",

abstract = "A fast and efficient method is proposed to analyze electromagnetic (EM) scattering of multiscale objects with impedance boundary condition (IBC). The self-dual integral equation (SDIE) in combination with the mixed-potential (MiP) multilevel fast multipole algorithm (MLFMA) is used to calculate EM scattering from the IBC targets, in which the incomplete-leaf (ICL) tree structure and interpolative-decomposition (InDe) based skeletonization technique is utilized to reduce excessive memory usage imposed by multiscale IBC targets meshed with large multiscale factor (MSF). A difference matrix generated from the near-field interactions by two grouping schemes is supplemented in the sparse approximate inverse (SAI) preconditioner to speed up the convergence of the iterative solvers. Numerical experiments demonstrate the effectiveness of the presented method.",

keywords = "Impedance boundary condition, incomplete-leaf tree, interpolative decomposition, multilevel fast multipole algorithm, multiscale, self-dual integral equation (SDIE)",

author = "Pengyuan Wang and Jintong Liu and Mang He",

note = "Publisher Copyright: {\textcopyright} 2002-2011 IEEE.",

year = "2025",

doi = "10.1109/LAWP.2024.3520183",

language = "English",

volume = "24",

pages = "883--887",

journal = "IEEE Antennas and Wireless Propagation Letters",

issn = "1536-1225",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "4",

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T1 - An Efficient MLFMA Solution of Self-Dual Integral Equation for EM Analysis of Multiscale IBC Objects

AU - Wang, Pengyuan

AU - Liu, Jintong

AU - He, Mang

PY - 2025

Y1 - 2025

N2 - A fast and efficient method is proposed to analyze electromagnetic (EM) scattering of multiscale objects with impedance boundary condition (IBC). The self-dual integral equation (SDIE) in combination with the mixed-potential (MiP) multilevel fast multipole algorithm (MLFMA) is used to calculate EM scattering from the IBC targets, in which the incomplete-leaf (ICL) tree structure and interpolative-decomposition (InDe) based skeletonization technique is utilized to reduce excessive memory usage imposed by multiscale IBC targets meshed with large multiscale factor (MSF). A difference matrix generated from the near-field interactions by two grouping schemes is supplemented in the sparse approximate inverse (SAI) preconditioner to speed up the convergence of the iterative solvers. Numerical experiments demonstrate the effectiveness of the presented method.

AB - A fast and efficient method is proposed to analyze electromagnetic (EM) scattering of multiscale objects with impedance boundary condition (IBC). The self-dual integral equation (SDIE) in combination with the mixed-potential (MiP) multilevel fast multipole algorithm (MLFMA) is used to calculate EM scattering from the IBC targets, in which the incomplete-leaf (ICL) tree structure and interpolative-decomposition (InDe) based skeletonization technique is utilized to reduce excessive memory usage imposed by multiscale IBC targets meshed with large multiscale factor (MSF). A difference matrix generated from the near-field interactions by two grouping schemes is supplemented in the sparse approximate inverse (SAI) preconditioner to speed up the convergence of the iterative solvers. Numerical experiments demonstrate the effectiveness of the presented method.

KW - Impedance boundary condition

KW - incomplete-leaf tree

KW - interpolative decomposition

KW - multilevel fast multipole algorithm

KW - multiscale

KW - self-dual integral equation (SDIE)

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U2 - 10.1109/LAWP.2024.3520183

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SN - 1536-1225

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SP - 883

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JO - IEEE Antennas and Wireless Propagation Letters

JF - IEEE Antennas and Wireless Propagation Letters

IS - 4

ER -

An Efficient MLFMA Solution of Self-Dual Integral Equation for EM Analysis of Multiscale IBC Objects

Abstract

Keywords

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