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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2026-09-08
Krylov Subspace Acceleration by Adaptive Cross Approximation for Improved CBFM Electromagnetic Scattering Computation
By
Xiaofei Ma,

    Dr. Xiaofei Ma

    School of Electrical and Information Engineering

    Anhui University of Science and Technology

    China

    Homepage

Zhonggen Wang,

    Professor Zhonggen Wang

    College of Electrical and Information Engineering

    Anhui University of Science and Technology

    China

    Homepage

Wenyan Nie,

    Professor Wenyan Nie

    College of Mechanical Electrical Engineering

    Huainan Normal University

    China

    Homepage

Han Lin

    Professor Han Lin

    School of Electrical and Information Engineering

    Anhui University of Science and Technology

    China

    Homepage

Progress In Electromagnetics Research C, Vol. 173, 190-197, 2026
doi:10.2528/PIERC26072002 | Google Scholar

Abstract
To resolve the trade-off between numerical accuracy and computational efficiency when integrating the adaptive cross approximation (ACA) into the characteristic basis function method (CBFM), this paper proposes a hybrid optimization framework incorporated with Krylov subspaces. This framework first employs CBFM to partition scattering targets into multiple subdomains and realize dimension reduction of the impedance matrix. It then adopts the ACA algorithm to perform low-rank compression on far-field coupling submatrices. On this basis, the GMRES algorithm is introduced to implement iterative optimization. The framework uses the approximate solution from CBFM as the initial iterative guess, and it leverages ACA to accelerate constructing Krylov subspaces for reducing iterative computational overhead. Numerical results of two sets of test cases demonstrate that, compared with the traditional coupled CBFM-ACA solver, the proposed method can significantly improve numerical accuracy while maintaining favorable computational efficiency.
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Citation
Xiaofei Ma, Zhonggen Wang, Wenyan Nie, and Han Lin, "Krylov Subspace Acceleration by Adaptive Cross Approximation for Improved CBFM Electromagnetic Scattering Computation," Progress In Electromagnetics Research C, Vol. 173, 190-197, 2026.
doi:10.2528/PIERC26072002
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