Estimates of deviations from the exact solution of the Stokes problem in the vorticity-velocity-pressure formulation

A. Mikhaylov, S. Repin

Research output

Abstract

The vorticity-velocity-pressure formulation for the stationary Stokes problem in 2D is considered. We analyze the corresponding generalized formulation, establish sufficient conditions that guarantee the existence of a generalized solution, and deduce estimates on the difference between the exact solution (i. e., the exact velocity, vorticity, and pressure) and an arbitrary approximating function (velocity, vorticity, pressure) that belongs to the corresponding functional class and satisfies the boundary conditions. For this purpose, we use the method suggested earlier by the second author, which is based on transformations of the integral identity that defines the corresponding generalized solution. Bibliography: 13 titles.

Original languageEnglish
Pages (from-to)698-706
Number of pages9
JournalJournal of Mathematical Sciences (United States)
Volume185
Issue number5
DOIs
Publication statusPublished - 1 Sep 2012
Externally publishedYes

Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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