Finite element approximation for the viscoelastic fluid motion problem

Yinnian He; Yanping Lin; Samuel S.P. Shen; Weiwei Sun; Robert Tait

doi:10.1016/S0377-0427(02)00864-6

Finite element approximation for the viscoelastic fluid motion problem

Yinnian He
, Yanping Lin
, Samuel S.P. Shen
, Weiwei Sun
, Robert Tait

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

41 Citations (Scopus)

Abstract

In this article, the variational formulation of the two-dimensional viscoelastic fluid motion problem and its finite element approximation are considered. An local error estimate for the velocity with H¹-norm and the pressure with L²-norm is obtained; and a uniform error estimate for the velocity and pressure with the above norms is provided if the given data satisfies the uniqueness condition. © 2003 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	201-222
Journal	Journal of Computational and Applied Mathematics
Volume	155
Issue number	2
DOIs	https://doi.org/10.1016/S0377-0427(02)00864-6
Publication status	Published - 15 Jun 2003

Research Keywords

Error estimate
Finite element
Regularity
Viscoelastic fluid motion

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title = "Finite element approximation for the viscoelastic fluid motion problem",

abstract = "In this article, the variational formulation of the two-dimensional viscoelastic fluid motion problem and its finite element approximation are considered. An local error estimate for the velocity with H1-norm and the pressure with L2-norm is obtained; and a uniform error estimate for the velocity and pressure with the above norms is provided if the given data satisfies the uniqueness condition. {\textcopyright} 2003 Elsevier Science B.V. All rights reserved.",

keywords = "Error estimate, Finite element, Regularity, Viscoelastic fluid motion",

author = "Yinnian He and Yanping Lin and Shen, \{Samuel S.P.\} and Weiwei Sun and Robert Tait",

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journal = "Journal of Computational and Applied Mathematics",

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TY - JOUR

T1 - Finite element approximation for the viscoelastic fluid motion problem

AU - He, Yinnian

AU - Lin, Yanping

AU - Shen, Samuel S.P.

AU - Sun, Weiwei

AU - Tait, Robert

PY - 2003/6/15

Y1 - 2003/6/15

N2 - In this article, the variational formulation of the two-dimensional viscoelastic fluid motion problem and its finite element approximation are considered. An local error estimate for the velocity with H1-norm and the pressure with L2-norm is obtained; and a uniform error estimate for the velocity and pressure with the above norms is provided if the given data satisfies the uniqueness condition. © 2003 Elsevier Science B.V. All rights reserved.

AB - In this article, the variational formulation of the two-dimensional viscoelastic fluid motion problem and its finite element approximation are considered. An local error estimate for the velocity with H1-norm and the pressure with L2-norm is obtained; and a uniform error estimate for the velocity and pressure with the above norms is provided if the given data satisfies the uniqueness condition. © 2003 Elsevier Science B.V. All rights reserved.

KW - Error estimate

KW - Finite element

KW - Regularity

KW - Viscoelastic fluid motion

UR - https://www.scopus.com/pages/publications/0038546652

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0038546652&origin=recordpage

U2 - 10.1016/S0377-0427(02)00864-6

DO - 10.1016/S0377-0427(02)00864-6

M3 - RGC 21 - Publication in refereed journal

SN - 0377-0427

VL - 155

SP - 201

EP - 222

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Finite element approximation for the viscoelastic fluid motion problem

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Research Keywords

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