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Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems Partial differential equations, boundary value problems

Published online by Cambridge University Press:  09 January 2017

Gang Chen  and
Minfu Feng
Gang Chen
Affiliation:
School of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
Minfu Feng*
Affiliation:
School of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
*
*Corresponding author. Email:fmf@wtjs.cn (M. F. Feng)
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Abstract

This paper gives analysis of a semi-discrete scheme using equal order interpolation to solve unsteady Navier-Stokes equations. A unified pressure stabilized term is added to our scheme. We proved the uniform error estimates with respect to the Reynolds number, provided the exact solution is smooth.

Keywords

Unsteady Navier-Stokes equationssymmetric pressure stabilizationequal order interpolation

MSC classification

Secondary: 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 2 , April 2017 , pp. 362 - 377
Copyright
Copyright © Global-Science Press 2017 

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