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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 ℝ 2 , and tetrahedral or hexahedral meshes in ℝ 3 .

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