Abstract
This article is concerned with a rigorous superconvergence analysis of the marker and cell method (MAC) for steady Stokes equations. We first derive the MAC scheme from a staggered finite volume element method (FVEM) with a proper quadrature. Then by comparing the MAC to the corresponding FVEM, we prove the superconvergence of the MAC scheme over non‐uniform rectangular meshes. As a byproduct, an optimal order error estimate is also obtained. © 2016Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 1647–1666, 2016
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