An enriched Galerkin method for the Stokes equations

We present a new enriched Galerkin (EG) scheme for the Stokes equations based on piecewise linear elements velocity unknowns and constant pressure. The proposed EG method augments conforming space by adding an additional degree of freedom which corresponds to one discontinuous basis function per element. Thus, total number degrees is significantly reduced in comparison with standard conforming, non-conforming, schemes equation. show well-posedness approach prove that converges optimally. For solution resulting large-scale indefinite systems we propose robust block preconditioners, yielding scalable results independent discretization physical parameters. Numerical confirm convergence rates also robustness solvers variety test problems.