A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes | Zendy

Feng Bao | Zendy; Lin Mu | Zendy; Jin Wang | Zendy

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A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes

Author(s) -

Feng Bao,

Lin Mu,

Jin Wang

Publication year - 2019

Publication title -

siam journal on numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.78

H-Index - 134

eISSN - 1095-7170

pISSN - 0036-1429

DOI - 10.1137/18m1171515

Subject(s) - polygon mesh , estimator , mathematics , a priori and a posteriori , finite element method , residual , stokes problem , adaptive mesh refinement , galerkin method , mathematical optimization , algorithm , geometry , statistics , computational science , philosophy , physics , epistemology , thermodynamics

In this paper, we present a simple a posteriori error estimate for the weak Galerkin finite element method for the Stokes equation. This residual type estimator can be applied to general meshes such as polytopal mesh or meshes with hanging nodes. The reliability and efficiency of the estimator are proved in this paper. Five numerical tests demonstrate the effectiveness and flexibility of the adaptive mesh refinement guided by the designed error estimator.

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