Publication Type
Journal
Journal Name
SIAM Journal on Numerical Analysis
Publication Date
Page Numbers
458 to 477
Volume
57
Issue
1
Abstract
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.