A Second-Order Triangular Element-Based Domain Decomposition Method for Solving Electromagnetic Scattering Problems Using the Surface Integral Equation

In this communication, a domain decomposition method for electromagnetic scatterers is proposed. After dividing the geometry into several domains, the subdomains are divided into near, far and a buffer domain based on their relative positions. Distinct processing methods are applied to each domain and an approximate sparse and locally low-rank impedance matrix is created. The Krylov subspace is formulated using this matrix to solve for the approximate current. Compared with the traditional method of moments, this approach demonstrates faster convergence and sufficient accuracy, making it suitable for electrically large scattering problems. The accuracy and effectiveness of the proposed method are verified through numerical examples.

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Publication Details

Journal
IEEE Transactions on Antennas and Propagation
Published
2025-04-23
DOI
https://doi.org/10.1109/tap.2025.3562013
Primary Topic
Electromagnetic Scattering and Analysis
Type
article
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article

A Second-Order Triangular Element-Based Domain Decomposition Method for Solving Electromagnetic Scattering Problems Using the Surface Integral Equation

Xiangwei Liu, Yi Zhu, Gao Wei, C. Fan et al.
IEEE Transactions on Antennas and Propagation
Electromagnetic Scattering and Analysis
article

A Second-Order Triangular Element-Based Domain Decomposition Method for Solving Electromagnetic Scattering Problems Using the Surface Integral Equation

Xiangwei Liu, Yi Zhu, Gao Wei, C. Fan, J.-Y. Li
article en

Abstract

In this communication, a domain decomposition method for electromagnetic scatterers is proposed. After dividing the geometry into several domains, the subdomains are divided into near, far and a buffer domain based on their relative positions. Distinct processing methods are applied to each domain and an approximate sparse and locally low-rank impedance matrix is created. The Krylov subspace is formulated using this matrix to solve for the approximate current. Compared with the traditional method of moments, this approach demonstrates faster convergence and sufficient accuracy, making it suitable for electrically large scattering problems. The accuracy and effectiveness of the proposed method are verified through numerical examples.

IEEE Transactions on Antennas and PropagationVol. 73(8)
Northwestern Polytechnical University (CN)
Openalex Percentile: Top 93%
Electromagnetic Scattering and Analysis
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A Second-Order Triangular Element-Based Domain Decomposition Method for Solving Electromagnetic Scattering Problems Using the Surface Integral Equation — Xiangwei Liu, Yi Zhu, et al. · IEEE Transactions on Antennas and Propagation (2025) | TGRS Research Map | TGRS