A posteriori error analysis for solving the Navier-Stokes problem and convection-diffusion equation

被引：4

作者：

Agroum, Rahma ^{[1
,2
]}

机构：

[1] Tunis El Manar Univ, Fac Sci Tunis, Tunis, Tunisia

[2] Univ Paris 06, Lab Jacques Louis Lions, 4 Pl Jussieu, F-75252 Paris 05, France

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 34卷 / 02期

关键词：

a posteriori analysis; convection-diffusion equations; finite element discretization; Navier-Stokes problem; SPECTRAL DISCRETIZATION; APPROXIMATION; HEAT;

D O I：

10.1002/num.22204

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the finite element discretization of the Navier-Stokes problem coupled with convection-diffusion equations where both the viscosity and the diffusion coefficients depend on the temperature. Existence and uniqueness of a solution are established. We prove a posteriori error estimates.

引用

页码：401 / 418

页数：18

共 22 条

[1]

Adams RA., 1975, Sobolev Spaces

[2]

Agroum R., 2014, THESIS

[3] Spectral discretization of the time-dependent Navier-Stokes problem coupled with the heat equation [J].

Agroum, Rahma ;

Bernardi, Christine ;

Satouri, Jamil .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 268 :59-82

[4] SPECTRAL DISCRETIZATION OF THE NAVIER-STOKES EQUATIONS COUPLED WITH THE HEAT EQUATION [J].

Agroum, Rahma ;

Aouadi, Saloua Mani ;

Bernardi, Christine ;

Satouri, Jamil .

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2015, 49 (03) :621-639

[5]

[Anonymous], 1986, Theory and Algorithms

[6] FINITE-ELEMENT METHOD WITH PENALTY [J].

BABUSKA, I .

MATHEMATICS OF COMPUTATION, 1973, 27 (122) :221-228

[7] Density results in sobolev spaces whose elements vanish on a part of the boundary [J].

Bernard, Jean-Marie Emmanuel .

CHINESE ANNALS OF MATHEMATICS SERIES B, 2011, 32 (06) :823-846

[8] Coupling of Navier-Stokes equations and heat - The model and its approximation using the finite-element method [J].

Bernardi, C ;

Metivet, B ;

PernaudThomas, B .

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1995, 29 (07) :871-921

[9]

Bernardi C., 2004, COLLECTION MATH APPL, V45, P312

[10]

Brezis H., 1983, ANAL FONCTIONNELLE T, P234

← 1 2 3 →