论文标题

来自基于对角线的平行算法的Vanka型多机求解器,用于复杂变速的Laplacian系统

A Vanka-type multigrid solver for complex-shifted Laplacian systems from diagonalization-based parallel-in-time algorithms

论文作者

He, Yunhui, Liu, Jun

论文摘要

我们提出和分析Vanka型多机求解器,以求解一系列复杂移动的Laplacian系统,该系统在基于对角化的平行时间算法中用于进化方程。在适当的假设下,局部傅立叶分析表明,所提出的范卡型平滑因子更顺利,这是通过几个数值示例来验证的。

We propose and analyze a Vanka-type multigrid solver for solving a sequence of complex-shifted Laplacian systems arising in diagonalization-based parallel-in-time algorithms for evolutionary equations. Under suitable assumption, local Fourier analysis shows the proposed Vanka-type smoother achieves a uniform smoothing factor, which is verified by several numerical examples.

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