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

被引：0

作者：

Chen, Tsu-Fen ^{[1
]}

Lee, Hyesuk ^{[2
]}

Liu, Chia-Chen ^{[3
]}

机构：

[1] Natl Chung Cheng Univ, Dept Math, Chiayi 621, Taiwan

[2] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

[3] Natl Bei Gang Senior High Sch, Peikang 651, Yunlin, Taiwan

来源：

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2018年 / 18卷 / 02期

关键词：

Viscoelastic Flow; Galerkin Least-Squares; VISCOELASTIC FLUID-FLOW; FINITE-ELEMENT APPROXIMATION; ERROR-BOUNDS; EXISTENCE; FORMULATION; STEADY;

D O I：

10.1515/cmam-2017-0022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：181 / 198

页数：18

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