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# Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

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Volume 18, Issue 2

# A Study on the Galerkin Least-Squares Method for the Oldroyd-B Model

Tsu-Fen Chen
/ Hyesuk Lee
/ Chia-Chen Liu
Published Online: 2017-07-06 | DOI: https://doi.org/10.1515/cmam-2017-0022

## Abstract

We consider a reduced Galerkin least-squares finite element method for the Oldroyd-B model of viscoelastic fluid flows. Model problems considered are the flow past a planar channel and a 4-to-1 contraction problems. An a priori error estimate for the reduced Galerkin least-squares method is derived and numerical results supporting the estimate are presented.

Keywords: Viscoelastic Flow; Galerkin Least-Squares

MSC 2010: 65N30

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Revised: 2017-06-05

Accepted: 2017-06-19

Published Online: 2017-07-06

Published in Print: 2018-04-01

Funding Source: National Science Foundation

Award identifier / Grant number: DMS-1418960

The first author was partially supported by the National Science Council of Taiwan under contract no. 101-2115-M-194-009. The second author was partially supported by the NSF under grant no. DMS-1418960.

Citation Information: Computational Methods in Applied Mathematics, Volume 18, Issue 2, Pages 181–198, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840,

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