Adaptive HODBF-Based Direct Surface Integral Equation Solver for Electromagnetic Analysis

Xiao Wei Huang, Ye Pan, Xin Qing Sheng*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

An adaptive hierarchically off-diagonal butterfly direct solver (A-HODBF) is proposed for fast and accurate solution of three-dimensional surface integral equations (SIE). The novel generalized admissibility condition (GAC) is put forward to enable refined control of the butterfly rank (BF-rank) during matrix filling and inversion phases. Numerical results show that the proposed method has a reduced complexity compared to hierarchically off-diagonal low-rank-based Matrix solver (HODLR) and has optimized leading coefficients compared to traditional BF methods, providing a scalable solution for large-scale electromagnetic problems.

Original languageEnglish
Title of host publication2024 International Applied Computational Electromagnetics Society Symposium, ACES-China 2024 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798350355581
DOIs
Publication statusPublished - 2024
Event2024 International Applied Computational Electromagnetics Society Symposium, ACES-China 2024 - Xi'an, China
Duration: 16 Aug 202419 Aug 2024

Publication series

Name2024 International Applied Computational Electromagnetics Society Symposium, ACES-China 2024 - Proceedings

Conference

Conference2024 International Applied Computational Electromagnetics Society Symposium, ACES-China 2024
Country/TerritoryChina
CityXi'an
Period16/08/2419/08/24

Keywords

  • butterfly algorithm
  • electromagnetic scattering
  • Fast direct solvers
  • surface integral equation

Cite this