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Title: Superconvergence analysis of the MAC scheme for the two dimensional stokes problem
Authors: Lin, Y 
Zou, Q
Keywords: Finite volume element methods
Marker and cell method
Stokes equations
Issue Date: 2016
Publisher: John Wiley & Sons
Source: Numerical methods for partial differential equations, 2016, v. 32, no. 6, p. 1647-1666 How to cite?
Journal: Numerical methods for partial differential equations 
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 math formula error estimate is also obtained.
ISSN: 0749-159X
DOI: 10.1002/num.22066
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