A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem

We derive optimal reliability and efficiency of a posteriori error estimates for the steady Stokes problem, with a nonhomogeneous Dirichlet boundary condition, solved by a stable enriched Galerkin scheme (EG) of order one on triangular or quadrilateral meshes in Double-struck capital R-2, and tetrahedral or hexahedral meshes in Double-struck capital R-3.