标题： 适用于不可压缩Navier-Stokes方程的虚拟元离散化的Arrow-Hurwicz迭代 显示英文标题

标题： The Arrow-Hurwicz iteration for virtual element discretizations of the incompressible Navier-Stokes equations

摘要： 本文详细分析了应用于不可压缩Navier-Stokes方程求解的Arrow-Hurwicz迭代，该方程通过一个无散度混合虚拟单元方法进行离散化。 在一组适当的假设下，严格证明了该方法具有几何收敛性，其收缩因子与网格尺寸无关。 进行了一系列数值实验以验证理论结果并评估所提出方法的计算性能。 显示英文摘要

摘要： This article presents a detailed analysis of the Arrow-Hurwicz iteration applied to the solution of the incompressible Navier-Stokes equations, discretized by a divergence-free mixed virtual element method. Under a set of appropriate assumptions, it is rigorously demonstrated that the method exhibits geometric convergence, with a contraction factor that remains independent of the mesh sizes. A series of numerical experiments are conducted to validate the theoretical findings and to assess the computational performance of the proposed method.