A Boundary Value Problem for an Overdetermined Steady System in Two-Velocity Hydrodynamics

M. V. Urev, Kh Kh Imomnazarov, Jian Gang Tang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, a two-velocity steady hydrodynamic system with a single pressure and inhomogeneous divergent and boundary conditions for two velocities is investigated. This system is overdetermined. By changing the sought-for functions, the problem is reduced to a homogeneous one. The resulting system is solved by consecutively solving two boundary value problems: a Stokes problem for one velocity and the pressure and an overdetermined system for the other velocity. Generalized statements of these problems and their discrete approximations using a finite element method are presented. A new regularization method is used to solve the overdetermined problem.

Original languageEnglish
Pages (from-to)347-357
Number of pages11
JournalNumerical Analysis and Applications
Volume10
Issue number4
DOIs
Publication statusPublished - 1 Oct 2017

Keywords

  • finite element method
  • Lagrange multiplier
  • overdetermined two-velocity steady hydrodynamic system

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