Abstract
ÂThis 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 L2 error estimate is also obtained. ÂNumer Methods Partial Differential Eq 32: 1647–1666, 2016.
| Original language | English |
|---|---|
| Pages (from-to) | 1647-1666 |
| Number of pages | 20 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 32 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Nov 2016 |
Keywords
- finite volume element methods
- marker and cell method
- Stokes equations
- superconvergence
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics