hp-finite element simulations for Stokes flow-stable and stabilized

摘要

The stable Galerkin formulation and a stabilized Galerkin least squares formulation for the Stokes problem are analyzed in the context of the hp-version of the finite element method. Theoretical results for both formulations establish exponential rates of convergence under realistic assumptions on the input data. We confirm these results by a series of numerical experiments on an L-shaped domain where the solution Exhibits corner singularities.