Numerical solution of flow problems by stabilized finite element method and verification of its accuracy using a posteriori error estimates

被引：1

作者：

Burda, P.

Novotny, J.

Sistek, J.

机构：

[1] Czech Tech Univ Prague, Dept Math, CZ-12135 Prague 2, Czech Republic

[2] Acad Sci Czech Republic, Inst Thermomech, CZ-18200 Prague, Czech Republic

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2007年 / 76卷 / 1-3期

关键词：

incompressible fluid; stabilization; GLS; semiGLS; A posteriori error estimates;

D O I：

10.1016/j.matcom.2007.01.012

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

2D flow of incompressible viscous fluid with higher Reynolds number is studied. Galerkin least squares technique of stabilization of the finite element method is investigated and its modification is described. A number of numerical results is presented. Properties of stabilization are discussed. Most important part is the study of the accuracy of the stabilized solution by means of a posteriori error estimates. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：28 / 33

页数：6

共 50 条

[31] A Posteriori Error Estimates of Triangular Mixed Finite Element Methods for Semi linear Optimal Control Problems
Lu, Zuliang
Chen, Yanping
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2009, 1 (02) : 242 - 256
[32] A posteriori L∞(L∞)-error estimates for finite-element approximations to parabolic optimal control problems
Manohar, Ram
Sinha, Rajen Kumar
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (08):
[33] Anisotropic metrics for finite element meshes using a posteriori error estimates: Poisson and Stokes equations
Raphaël Kuate
Engineering with Computers, 2013, 29 : 497 - 505
[34] Anisotropic metrics for finite element meshes using a posteriori error estimates: Poisson and Stokes equations
Kuate, Raphael
ENGINEERING WITH COMPUTERS, 2013, 29 (04) : 497 - 505
[35] A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis
Li, Jian
Zheng, Haibiao
Zou, Qingsong
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[36] A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis
Jian Li
Haibiao Zheng
Qingsong Zou
Advances in Difference Equations, 2019
[37] A two-dimensional moving finite element method with local refinement based on a posteriori error estimates
Lang, J
Cao, WM
Huang, WZ
Russell, RD
APPLIED NUMERICAL MATHEMATICS, 2003, 46 (01) : 75 - 94
[38] A complete analysis for some A Posteriori error estimates with the finite element method of lines for a nonlinear parabolic equation
Tran, T
Duong, TB
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2002, 23 (7-8) : 891 - 909
[39] A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems
Jikun Zhao
Shaochun Chen
Bei Zhang
Calcolo, 2015, 52 : 407 - 424
[40] A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems
Zhao, Jikun
Chen, Shaochun
Zhang, Bei
CALCOLO, 2015, 52 (04) : 407 - 424

← 1 2 3 4 5 →