Abstract
This paper presents a residual-type a posteriori error estimator for the virtual element method for the Stokes problem. It is proved that the a posteriori error estimator is reliable and efficient. The virtual element method allows the use of very general polygonal meshes and handles the hanging nodes naturally. Consequently, the local post-processing of locally adapted mesh can be avoided, which simplifies the adaptive procedure. A series of numerical examples are reported to show the effectiveness of adaptive mesh refinement driven by this estimator.
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