论文标题
关于任意多阶段的多项式多移民的傅立叶分析
On Fourier analysis of polynomial multigrid for arbitrary multi-stage cycles
论文作者
论文摘要
\ emph {p} -multigrid加速技术的傅立叶分析被认为是针对具有各种循环配置的对流扩散方程的双时间方案。发现可以通过\ emph {v}循环不对称地实现改善的收敛，在应用额外的延长平滑的情况下。对Navier的人造可压缩性制定进行的实验 - Stokes方程发现，可以在压力残留物中以数值观察到这些分析结果，而速度术语（速度术语） - 特征中更加夸张 - 主要从伪时间步骤中受益。
The Fourier analysis of the \emph{p}-multigrid acceleration technique is considered for a dual-time scheme applied to the advection-diffusion equation with various cycle configurations. It is found that improved convergence can be achieved through \emph{V}-cycle asymmetry where additional prolongation smoothing is applied. Experiments conducted on the artificial compressibility formulation of the Navier--Stokes equations found that these analytic findings could be observed numerically in the pressure residual, whereas velocity terms---which are more hyperbolic in character---benefited primarily from increased pseudo-time steps.
