A modified nonlinear Galerkin method for the viscoelastic fluid motion equations

John R. Cannon; Richard E. Ewing; Yinnian He; Yanping Lin

A modified nonlinear Galerkin method for the viscoelastic fluid motion equations

John R. Cannon, Richard E. Ewing, Yinnian He, Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

In this article we first provide a priori estimates of the solution for the nonstationary two-dimensional viscoelastic fluid motion equations with periodic boundary condition. We then present an modified non-linear Galerkin method for solving such equations. By comparing the convergence rates of the proposed method with the standard Galerkin method, we conclude that the modified nonlinear Galerkin method is better than the standard Galerkin method because the former can save a large amount of computational work and maintain the convergence rate of the latter.

Original language	English
Pages (from-to)	1643-1662
Number of pages	20
Journal	International Journal of Engineering Science
Volume	37
Issue number	13
Publication status	Published - 1 Oct 1999
Externally published	Yes

Keywords

Convergence rate
Galerkin method
Modified nonlinear Galerkin method
Viscoelastic fluid motion equations

ASJC Scopus subject areas

General Engineering

Cite this

@article{7e28d51c54644376a96786a5b2e1fac3,

title = "A modified nonlinear Galerkin method for the viscoelastic fluid motion equations",

abstract = "In this article we first provide a priori estimates of the solution for the nonstationary two-dimensional viscoelastic fluid motion equations with periodic boundary condition. We then present an modified non-linear Galerkin method for solving such equations. By comparing the convergence rates of the proposed method with the standard Galerkin method, we conclude that the modified nonlinear Galerkin method is better than the standard Galerkin method because the former can save a large amount of computational work and maintain the convergence rate of the latter.",

keywords = "Convergence rate, Galerkin method, Modified nonlinear Galerkin method, Viscoelastic fluid motion equations",

author = "Cannon, {John R.} and Ewing, {Richard E.} and Yinnian He and Yanping Lin",

year = "1999",

month = oct,

day = "1",

language = "English",

volume = "37",

pages = "1643--1662",

journal = "International Journal of Engineering Science",

issn = "0020-7225",

publisher = "Elsevier Ltd",

number = "13",

}

TY - JOUR

T1 - A modified nonlinear Galerkin method for the viscoelastic fluid motion equations

AU - Cannon, John R.

AU - Ewing, Richard E.

AU - He, Yinnian

AU - Lin, Yanping

PY - 1999/10/1

Y1 - 1999/10/1

N2 - In this article we first provide a priori estimates of the solution for the nonstationary two-dimensional viscoelastic fluid motion equations with periodic boundary condition. We then present an modified non-linear Galerkin method for solving such equations. By comparing the convergence rates of the proposed method with the standard Galerkin method, we conclude that the modified nonlinear Galerkin method is better than the standard Galerkin method because the former can save a large amount of computational work and maintain the convergence rate of the latter.

AB - In this article we first provide a priori estimates of the solution for the nonstationary two-dimensional viscoelastic fluid motion equations with periodic boundary condition. We then present an modified non-linear Galerkin method for solving such equations. By comparing the convergence rates of the proposed method with the standard Galerkin method, we conclude that the modified nonlinear Galerkin method is better than the standard Galerkin method because the former can save a large amount of computational work and maintain the convergence rate of the latter.

KW - Convergence rate

KW - Galerkin method

KW - Modified nonlinear Galerkin method

KW - Viscoelastic fluid motion equations

UR - http://www.scopus.com/inward/record.url?scp=0037855869&partnerID=8YFLogxK

M3 - Journal article

SN - 0020-7225

VL - 37

SP - 1643

EP - 1662

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 13

ER -

A modified nonlinear Galerkin method for the viscoelastic fluid motion equations

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this