论文标题
朝着未知周期的时间周期溶液的平行计算
Towards a Parallel-in-Time Calculation of Time-Periodic Solutions with Unknown Period
论文作者
论文摘要
本文提出了一种新型的平行算法，能够计算未给出周期的问题的时间周期解决方案。利用多个拍摄方法的想法，提出的方法计算每个子间隔和相应的时期的初始值。与瘫痪方法一样，时间域中的并行化是在两级网格上使用离散化进行的。引入了粗网格上的时间周期系统的特殊线性化，以加快计算。迭代算法通过其应用于Colpitt振荡器模型来验证。
This paper presents a novel parallel-in-time algorithm able to compute time-periodic solutions of problems where the period is not given. Exploiting the idea of the multiple shooting method, the proposed approach calculates the initial values at each subinterval as well as the corresponding period iteratively. As in the Parareal method, parallelization in the time domain is performed using discretization on a two-level grid. A special linearization of the time-periodic system on the coarse grid is introduced to speed up the computations. The iterative algorithm is verified via its application to the Colpitt oscillator model.
