Superconvergence analysis of the MAC scheme for the two dimensional stokes problem

Yanping Lin, Qingsong Zou

Research output: Journal article publicationJournal articleAcademic researchpeer-review

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 languageEnglish
Pages (from-to)1647-1666
Number of pages20
JournalNumerical Methods for Partial Differential Equations
Volume32
Issue number6
DOIs
Publication statusPublished - 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

Cite this