Standard

A Boundary Value Problem for an Overdetermined Steady System in Two-Velocity Hydrodynamics. / Urev, M. V.; Imomnazarov, Kh Kh; Tang, Jian Gang.

In: Numerical Analysis and Applications, Vol. 10, No. 4, 01.10.2017, p. 347-357.

Research output: Contribution to journal › Article › peer-review

Harvard

Urev, MV, Imomnazarov, KK & Tang, JG 2017, 'A Boundary Value Problem for an Overdetermined Steady System in Two-Velocity Hydrodynamics', Numerical Analysis and Applications, vol. 10, no. 4, pp. 347-357. https://doi.org/10.1134/S1995423917040061

APA

Urev, M. V., Imomnazarov, K. K., & Tang, J. G. (2017). A Boundary Value Problem for an Overdetermined Steady System in Two-Velocity Hydrodynamics. Numerical Analysis and Applications, 10(4), 347-357. https://doi.org/10.1134/S1995423917040061

Vancouver

Urev MV, Imomnazarov KK, Tang JG. A Boundary Value Problem for an Overdetermined Steady System in Two-Velocity Hydrodynamics. Numerical Analysis and Applications. 2017 Oct 1;10(4):347-357. doi: 10.1134/S1995423917040061

Author

Urev, M. V. ; Imomnazarov, Kh Kh ; Tang, Jian Gang. / A Boundary Value Problem for an Overdetermined Steady System in Two-Velocity Hydrodynamics. In: Numerical Analysis and Applications. 2017 ; Vol. 10, No. 4. pp. 347-357.

BibTeX

@article{2793a48286a14902ab6981500cc4c87c,
title = "A Boundary Value Problem for an Overdetermined Steady System in Two-Velocity Hydrodynamics",
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.",
keywords = "finite element method, Lagrange multiplier, overdetermined two-velocity steady hydrodynamic system",
author = "Urev, {M. V.} and Imomnazarov, {Kh Kh} and Tang, {Jian Gang}",
year = "2017",
month = oct,
day = "1",
doi = "10.1134/S1995423917040061",
language = "English",
volume = "10",
pages = "347--357",
journal = "Numerical Analysis and Applications",
issn = "1995-4239",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - A Boundary Value Problem for an Overdetermined Steady System in Two-Velocity Hydrodynamics

AU - Urev, M. V.

AU - Imomnazarov, Kh Kh

AU - Tang, Jian Gang

PY - 2017/10/1

Y1 - 2017/10/1

N2 - 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.

AB - 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.

KW - finite element method

KW - Lagrange multiplier

KW - overdetermined two-velocity steady hydrodynamic system

UR - http://www.scopus.com/inward/record.url?scp=85042700920&partnerID=8YFLogxK

U2 - 10.1134/S1995423917040061

DO - 10.1134/S1995423917040061

M3 - Article

AN - SCOPUS:85042700920

VL - 10

SP - 347

EP - 357

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 4

ER -

ID: 10342564