Abstract Based on the idea of finite element method, the three-dimensional multi-scale model is calculated by domain decomposition method, in other words, using domain decomposition method to decompose the domain of original problem into micro-model and macro-model and solving sub-domain problem separately by finite element method. In this way, the calculation results of micro-model and macro-model are both obtained under the condition of limited computing resources. In view of slow rate of convergence of domain decomposition iterative algorithm, the generalized minimal residual (GMRES) iterative algorithm for domain decomposition method is derived without coefficient matrix. Specifically, the coefficient matrix of linear equations can’t be given literally. Compared with 2-D finite element method, the correctness of the generalized minimal residual iteration algorithm is proved and this algorithm can be used to calculate the ground current field of high voltage direct current (HVDC), the results of electric field distribution near and far from the ground electrode are both obtained.
Tao Ruixiang,Wang Zezhong. Generalized Minimal Residual Iteration Method for Finite Element Based Domain Decomposition Technique for Electric Field Problem[J]. Transactions of China Electrotechnical Society, 2018, 33(2): 225-231.
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