A POSTERIORI ANALYSIS OF ITERATIVE ALGORITHMS FOR NAVIER-STOKES PROBLEM

被引：12
|
作者：
Bernardi, Christine [1 ,2 ]
Dakroub, Jad [1 ,2 ,3 ]
Mansour, Gihane [3 ]
Sayah, Toni [3 ]
机构：
[1] CNRS, Lab Jacques Louis Lions, 4 Pl Jussieu, F-75252 Paris 05, France
[2] Univ Paris 06, 4 Pl Jussieu, F-75252 Paris 05, France
[3] Univ St Joseph, Fac Sci, Unite Rech EGFEM, Beirut, Lebanon
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2016年 / 50卷 / 04期
关键词：
A posteriori error estimation; Navier-Stokes problem; iterative method; FINITE-ELEMENT APPROXIMATIONS; NONLINEAR PROBLEMS; ERROR ESTIMATION; EQUATIONS; FLOW;
D O I：
10.1051/m2an/2015062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work deals with a posteriori error estimates for the Navier-Stokes equations. We propose a finite element discretization relying on the Galerkin method and we solve the discrete problem using an iterative method. Two sources of error appear, the discretization error and the linearization error. Balancing these two errors is very important to avoid performing an excessive number of iterations. Several numerical tests are provided to evaluate the efficiency of our indicators.
引用
收藏
页码：1035 / 1055
页数：21
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