Stable and stabilized hp–finite element methods for the Stokes problem Original Research Article

Two hp–finite element methods for the Stokes problem in polygonal domains are presented: We discuss the View the MathML source elements which are stable on anisotropic and irregular meshes and introduce a stabilized Galerkin Least Squares approach featuring equal-order interpolation in the velocity and the pressure. Both methods lead to exponential rates of convergence provided that the data is piecewise analytic. Numerical studies on an L-shaped domain confirm these theoretical results.