Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions

Piecewise divergence-free nonconforming virtual elements are designed for Stokes problem in any dimensions. After introducing a local energy projector based on the and stabilization, element method is proposed problem. A detailed rigorous error analysis presented discrete method. An important property that commutes with divergence operator. With help of interpolation operator onto generalized Raviart--Thomas space, pressure-robust developed by simply modifying right-hand side previous discretization. reduced also discussed. Numerical results provided to verify theoretical convergence.