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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Analysis and convergence of the MAC scheme. II. Navier-Stokes equations
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by R. A. Nicolaides and X. Wu PDF
Math. Comp. 65 (1996), 29-44 Request permission

Abstract:

The MAC discretization scheme for the incompressible Navier-Stokes equations is interpreted as a covolume approximation to the equations. Using some results from earlier papers dealing with covolume error estimates for div-curl equation systems, and under certain conditions on the data and the solutions of the Navier-Stokes equations, we obtain first-order error estimates for both the vorticity and the pressure.
References
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Additional Information
  • R. A. Nicolaides
  • Affiliation: Department of Mathematics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213
  • X. Wu
  • Affiliation: Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong
  • Address at time of publication: Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong
  • Email: xwu@hkbu.edu.hk
  • Received by editor(s): October 25, 1991
  • Received by editor(s) in revised form: December 2, 1993
  • Additional Notes: This work was supported by the United States Air Force under grant AFOSR 90-0359
  • © Copyright 1996 American Mathematical Society
  • Journal: Math. Comp. 65 (1996), 29-44
  • MSC (1991): Primary 76M25, 76D05, 65N12
  • DOI: https://doi.org/10.1090/S0025-5718-96-00665-5
  • MathSciNet review: 1320897