We present and discuss a generalization of the popular MINI mixed finite element for the 2D Stokes equation by means of conforming virtual elements on polygonal meshes. We prove optimal error estimates for both velocity and pressure. Theoretical results are confirmed by several numerical tests performed with different choices of polynomial accuracy and meshes.

翻译：本文通过在多边形网格上构建协调虚拟元，提出并讨论了一种针对二维Stokes方程的经典MINI混合有限元方法的推广形式。我们证明了该方法在速度和压力上均能达到最优误差估计。理论结果通过在不同多项式精度与网格配置下进行的多组数值实验得到了验证。