Approximation of time-dependent viscoelastic fluid flow: SUPG approximation

被引：45

作者：

Ervin, VJ ^{[1
]}

Miles, WW ^{[1
]}

机构：

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

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2003年 / 41卷 / 02期

关键词：

viscoelasticity; finite element method; fully discrete; SUPG;

D O I：

10.1137/S003614290241177X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we consider the numerical approximation to the time-dependent viscoelasticity equations with an Oldroyd B constitutive equation. The approximation is stabilized by using a streamline upwind Petrov - Galerkin (SUPG) approximation for the constitutive equation. We analyze both the semidiscrete and fully discrete numerical approximations. For both discretizations we prove the existence of, and derive a priori error estimates for, the numerical approximations.

引用

页码：457 / 486

页数：30

共 14 条

[11] The analysis of a finite element method with streamline diffusion for the compressible Navier-Stokes equations [J].