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

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Vivette Girault ◽  
María González ◽  
Frédéric Hecht
Keyword(s):  
Dirichlet Boundary ◽  
Stokes Problem ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error Analysis ◽  
Galerkin Scheme ◽  
A Posteriori Error ◽  
Hexahedral Meshes ◽  
Posteriori Error Analysis

Abstract 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 ℝ2, and tetrahedral or hexahedral meshes in ℝ3.

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