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