Gradient recovery for singularly perturbed boundary value problems I: One-dimensional convection-diffusion

被引：9

作者：

Roos, HG ^{[1
]}

Linss, T ^{[1
]}

机构：

[1] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany

来源：

COMPUTING | 2001年 / 66卷 / 02期

关键词：

convection-diffusion problems; finite element method; singular perturbation; superconvergence; gradient recovery; Shishkin-type mesh;

D O I：

10.1007/s006070170033

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider a Galerkin finite element method that uses piecewise linears on a class of Shishkin-type meshes for a model singularly perturbed convection-diffusion problem. We pursue two approaches in constructing superconvergent approximations of the gradient. The first approach uses superconvergence points for the derivative, while the second one combines the consistency of a recovery operator with the superconvergence property of an interpolant. Numerical experiments support our theoretical results.

引用

页码：163 / 178

页数：16

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