Weighted error estimates of the continuous interior penalty method for singularly perturbed problems

被引：22

作者：

Burman, Erik ^{[2
]}

Guzman, Johnny ^{[1
]}

Leykekhman, Dmitriy ^{[3
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England

[3] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2009年 / 29卷 / 02期

关键词：

singularly perturbed; convection-diffusion; local error analysis; continuous interior penalty method; FINITE-ELEMENT METHODS; ADVECTION;

D O I：

10.1093/imanum/drn001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyse local properties of the continuous interior penalty (CIP) method for a model convection-dominated singularly perturbed convection-diffusion problem. We show weighted a priori error estimates, where the weight function exponentially decays outside the subdomain of interest. This result shows thats locally, the CIP method is comparable to the streamline-diffusion or the discontinuous Galerkin methods.

引用

页码：284 / 314

页数：31

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