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
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
收藏
页码:181 / 198
页数:18
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