Convergence Acceleration of Characteristic Mode-Based Basis Function Method for Connected Array Structures

Convergence Acceleration of Characteristic Mode-Based Basis Function Method for Connected Array Structures
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基于特征模的连通阵列基函数法的收敛加速

DOI:
10.1109/tap.2022.3145471
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发表时间:
2022
影响因子:
5.7
通讯作者:
Chen Rushan
Chen Rushan
中科院分区:
计算机科学2区
文献类型:
--
作者:
Jia Chunlai;Gu Pengfei;He Zi;Chen Rushan

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The characteristic mode (CM)-based basis function method for connected array structures has been proved to be an efficient numerical approach. However, it generates a matrix equation for which iterative methods will only slowly converge due to the truncation effect of discarding buffers. Singular value decomposition (SVD) is firstly implemented to enhance the orthogonality between the characteristic currents of the connected array elements. The original characteristic currents are replaced by the newly constructed global basis functions, so that the condition number of resultant reduced-order matrix is greatly reduced. In addition, a preconditioner is applied for the reduced-order impedance matrix, which can greatly improve the convergence speed of iterative method. Numerical examples are given to show that the proposed methods can significantly reduce the iterative steps and the calculation time with encouraging accuracy.
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