【摘要】 将波形松弛与多分裂技术结合对大型周期线性瞬态系统进行处理 .通过建立多分裂周期波形松弛算子谱的表达式 ,给出算法的一个收敛性条件为对应多分裂周期波形算子的谱半径小于 1 .该方法对周期波形松弛算法进行了推广 .数值实验结果验证了理论分析结果 ,同时表明多分裂波形松弛方法可以有效加速周期波形松弛解耦算法的收敛性能更多还原

【Abstract】 A multisplitting technique is firstly introduced to determine periodic responses of large linear transient systems in waveform relaxation. Based on the spectral radius of the derived operator by decoupled process, a convergent condition is proposed for the new method. The method is one generalization of the periodic waveform relaxation. A numerical example in circuit simulation is provided to further confirm the theoretical analysis and also shows that the multisplitting technique can effectively accelerate the convergent performance of the peridoic waveform relaxation algorithm.更多还原