An improved alternating‐direction‐implicit (ADI) algorithm for an efficient Laguerre‐based body‐of‐revolution finite‐difference time‐domain (BOR–FDTD) method is presented. A new correction equation for Eρ*q is added to the linear equations to speed up the convergence, and the two‐step Gauss–Seidel procedure instead of the one‐step procedure in the existing algorithm is introduced in the entire iterative algorithm. To validate the accuracy and efficiency of the proposed algorithm, which is applied to the BOR structure, two scattering examples are provided to demonstrate the algorithm. At the same time, the relative reflection error of the perfectly matched layer (PML) is calculated for comparisons with Mur's absorbing boundary condition.

This paper presents an efficient weighted Laguerre polynomials based meshless finite-difference time domain (WLP-MFDTD). By decomposing the coefficients of the system matrix and adding a perturbation term, a factorization-splitting scheme is introduced. The huge sparse matrix is transformed into two N×N matrices with 9 unknown elements in each row regardless of the duplicated ones. Consequently, compared with the conventional implementation, the CPU time and memory requirement can be saved greatly. The perfectly matched layer absorbing boundary condition is also extended to this approach. A numerical example demonstrates the capability and efficiency of the proposed method.

A large amount of data will be generated during the daily use of equipment, which is of great value to equipment management, maintenance support and other activities. Firstly, the characteristics and connotation of digital twin were analyzed, and it is concluded that digital twin can create high fidelity virtual model of equipment in digital way during the whole life cycle of equipment. It can more accurately simulate, monitor, diagnose, predict and control the real state and behavior of equipment physical entities in the real environment. Secondly, the simulation process and method of equipment maintenance support based on digital twin technology were proposed. Finally, the application of digital twin technology in equipment life cycle management was analyzed.

An expression of the thin‐slot formalism is presented to alleviate the gridding of the split‐field finite‐difference time‐domain (FDTD) solution for periodic structure. The varying auxiliary‐field ( P¯, Q¯) and split‐field ( trueP¯a, trueQ¯a) distributions near the slots are analytically derived from the varying field ( E¯, H¯). The update equations for the split‐field FDTD are obtained by incorporating those varying field distributions into the split‐field equations in integral form. A frequency selective surface (FSS) structure is applied to verify the proposed method. The results indicate that the computational efficiency is improved.

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