Anisotropic Weakly Over-Penalized Symmetric Interior Penalty Method for the Stokes Equation

The author proposes an anisotropic weakly over-penalized symmetric interior penalty (WOPSIP) method for solving the Stokes equation on convex domains. The key idea is to apply the relation between the Raviart-Thomas finite element space and a discontinuous space, which allows for an optimal error estimate of the consistency error on anisotropic meshes.