Superconvergence analysis of the MAC scheme for the two dimensional stokes problem |
| |
| Authors: | Yanping Lin Qingsong Zou |
| |
| Institution: | 1. Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China;2. School of Mathematics and Computational Science and Guangdong Province Key Laboratory of Computational Science, Sun Yat‐sen University, Guangzhou, P. R. China |
| |
| 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 |
| |
| Keywords: | finite volume element methods marker and cell method Stokes equations superconvergence |
|
|
