Pressure‐robust and conforming discretization of the Stokes equations on anisotropic meshes

Pressure-robust discretizations for incompressible flows have been in the focus of research past years. Many publications construct exactly divergence-free methods or use a reconstruction approach [13] existing like Crouzeix–Raviart element order to achieve pressure-robustness. To best our knowledge, except recent [3, 4], all those articles impose condition on shape-regularity mesh, and two mentioned papers that allow anisotropic elements non-conforming velocity approximation. Based classical Bernardi–Raugel we provide conforming pressure-robust discretization using meshes. Numerical examples support theory.