A Mixed-FEM for Navier–Stokes type variational inequality with nonlinear damping term

Hailong Qiu; Yongchao Zhang; Liquan Mei

doi:10.1016/j.camwa.2017.02.046

A Mixed-FEM for Navier–Stokes type variational inequality with nonlinear damping term

Hailong Qiu
, Yongchao Zhang
, Liquan Mei

School of Mathematics and Statistics

Yancheng Institute of Technology
Xi'an Jiaotong University

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

20 Scopus citations

Abstract

In this work we consider a mixed finite element method (FEM) for incompressible Navier–Stokes equations with nonlinear damping term and friction boundary conditions. After establishing the variational formulation, we show the well-posedness of this problem. Subsequently, we focus our attention on the mixed FEM and analyze the Galerkin approximation to this system. Then some optimal error estimates are deduced. In the end, some iterative algorithms are presented and numerical results are given to verify the theoretical analysis.

Original language	English
Pages (from-to)	2191-2207
Number of pages	17
Journal	Computers and Mathematics with Applications
Volume	73
Issue number	10
DOIs	https://doi.org/10.1016/j.camwa.2017.02.046
State	Published - 15 May 2017

Keywords

Damping term
Error estimates
Friction boundary conditions
Mixed finite element method
Navier–Stokes equations

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10.1016/j.camwa.2017.02.046

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title = "A Mixed-FEM for Navier–Stokes type variational inequality with nonlinear damping term",

abstract = "In this work we consider a mixed finite element method (FEM) for incompressible Navier–Stokes equations with nonlinear damping term and friction boundary conditions. After establishing the variational formulation, we show the well-posedness of this problem. Subsequently, we focus our attention on the mixed FEM and analyze the Galerkin approximation to this system. Then some optimal error estimates are deduced. In the end, some iterative algorithms are presented and numerical results are given to verify the theoretical analysis.",

keywords = "Damping term, Error estimates, Friction boundary conditions, Mixed finite element method, Navier–Stokes equations",

author = "Hailong Qiu and Yongchao Zhang and Liquan Mei",

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T1 - A Mixed-FEM for Navier–Stokes type variational inequality with nonlinear damping term

AU - Qiu, Hailong

AU - Zhang, Yongchao

AU - Mei, Liquan

PY - 2017/5/15

Y1 - 2017/5/15

N2 - In this work we consider a mixed finite element method (FEM) for incompressible Navier–Stokes equations with nonlinear damping term and friction boundary conditions. After establishing the variational formulation, we show the well-posedness of this problem. Subsequently, we focus our attention on the mixed FEM and analyze the Galerkin approximation to this system. Then some optimal error estimates are deduced. In the end, some iterative algorithms are presented and numerical results are given to verify the theoretical analysis.

AB - In this work we consider a mixed finite element method (FEM) for incompressible Navier–Stokes equations with nonlinear damping term and friction boundary conditions. After establishing the variational formulation, we show the well-posedness of this problem. Subsequently, we focus our attention on the mixed FEM and analyze the Galerkin approximation to this system. Then some optimal error estimates are deduced. In the end, some iterative algorithms are presented and numerical results are given to verify the theoretical analysis.

KW - Damping term

KW - Error estimates

KW - Friction boundary conditions

KW - Mixed finite element method

KW - Navier–Stokes equations

UR - https://www.scopus.com/pages/publications/85016623048

U2 - 10.1016/j.camwa.2017.02.046

DO - 10.1016/j.camwa.2017.02.046

M3 - 文章

AN - SCOPUS:85016623048

SN - 0898-1221

VL - 73

SP - 2191

EP - 2207

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 10

ER -

A Mixed-FEM for Navier–Stokes type variational inequality with nonlinear damping term

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Keywords

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