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

TY - JOUR

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

N1 - Publisher Copyright: © 2002-2011 IEEE.

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)

UR - https://www.scopus.com/pages/publications/105002494726

U2 - 10.1109/LAWP.2024.3520183

DO - 10.1109/LAWP.2024.3520183

M3 - Article

AN - SCOPUS:105002494726

SN - 1536-1225

VL - 24

SP - 883

EP - 887

JO - IEEE Antennas and Wireless Propagation Letters

JF - IEEE Antennas and Wireless Propagation Letters

IS - 4

ER -