Solving Surface-volume Integral Equations for PEC and Inhomogeneous/Anisotropic Materials with Multibranch Basis Functions

Authors

  • Rui Liu State Key Laboratory of Radio Frequency Heterogeneous Integration, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China
  • Gaobiao Xiao State Key Laboratory of Radio Frequency Heterogeneous Integration, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China
  • Yuyang Hu State Key Laboratory of Radio Frequency Heterogeneous Integration, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

DOI:

https://doi.org/10.13052/2024.ACES.J.390203

Keywords:

Block diagonal preconditioner, MB-RWG, MB-SWG, surface-volume integral equations (SVIEs)

Abstract

Multibranch basis functions have been confirmed to be effective for local refinement of domain decomposition methods in the application of solving surface and volume integral equations. Surface-volume integral equations (SVIEs) are applied for solving the hybrid electromagnetic scattering problems involving perfect electric conductors (PEC) and dielectrics, especially inhomogeneous and anisotropic media. In this paper, multibranch Rao-Wilton-Glisson basis functions (MB-RWGs) are applied in conjunction with multibranch Schaubert-Wilton-Glisson basis functions (MB-SWGs) for solving the SVIEs. Block diagonal preconditioners (BDPs) are used to accelerate the iteration convergence based on generalized minimum residual (GMRES) algorithms. The numerical results demonstrate the accuracy of the multibranch basis functions in solving SVIEs, and also show that proper BDPs can accelerate the iteration convergency.

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Author Biographies

Rui Liu, State Key Laboratory of Radio Frequency Heterogeneous Integration, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

Rui Liu received B.S. degree from Shanghai Jiao Tong University, Shanghai, China, in 2017. He is currently pursuing Ph.D. degree in electronic engineering in Shanghai Jiao Tong University. His research interests include computational electromagnetics and inverse scattering problems.

Gaobiao Xiao, State Key Laboratory of Radio Frequency Heterogeneous Integration, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

Gaobiao Xiao received the B.S. degree from Huazhong University of Science and Technology, Wuhan, China, in 1988, M.S. degree from the National University of Defense Technology, Changsha, China, in 1991, and Ph.D. degree from Chiba University, Chiba, Japan, in 2002.

He has been a faculty member since 2004 in the Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China. His research interests are computational electromagnetics, coupled thermo-electromagnetic analysis, microwave filter designs, fiber-optic filter designs, phased array antennas, and inverse scattering problems.

Yuyang Hu, State Key Laboratory of Radio Frequency Heterogeneous Integration, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

Yuyang Hu received B.S. degree in telecommunications engineering from Xidian University, Xi’an, China, in 2018. He is currently pursuing Ph.D. degree with the State Key Laboratory of Radio Frequency Heterogeneous Integration, Shanghai Jiao Tong University, Shanghai. His current research interests include computational electromagnetics and its application in scattering and radiation problems.

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Published

2024-02-29

How to Cite

[1]
R. Liu, G. Xiao, and Y. Hu, “Solving Surface-volume Integral Equations for PEC and Inhomogeneous/Anisotropic Materials with Multibranch Basis Functions”, ACES Journal, vol. 39, no. 02, pp. 108–114, Feb. 2024.

Issue

2024: Vol 39 Iss 2

Section

General Submission

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