A Posteriori Analysis of a Positive Streamwise Invariant Discretization of a Convection-Diffusion Equation

被引：1

作者：

Bernardi, Christine ^{[1
,2
]}

Chacon Rebollo, Tomas ^{[3
]}

Restelli, Marco ^{[3
]}

机构：

[1] CNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France

[2] Univ Paris 06, F-75252 Paris 05, France

[3] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, E-41012 Seville, Spain

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2012年 / 51卷 / 02期

关键词：

Convection-diffusion equation; Finite elements; Positive streamwise invariant scheme; RESIDUAL DISTRIBUTION SCHEMES; FINITE-ELEMENT; VOLUME;

D O I：

10.1007/s10915-011-9514-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the finite element discretization of a convection-diffusion equation, where the convection term is handled via a fluctuation splitting algorithm. We prove a posteriori error estimates which allow us to perform mesh adaptivity in order to optimize the discretization of these equations. Numerical results confirm the interest of such an approach.

引用

页码：349 / 374

页数：26

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