Convergence of local projection stabilisation finite element methods for convection-diffusion problems on layer-adapted meshes

被引：3

作者：

Franz, Sebastian ^{[1
]}

机构：

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

来源：

BIT NUMERICAL MATHEMATICS | 2017年 / 57卷 / 03期

关键词：

Singular perturbation; Local projection; Boundary layers; Layer-adapted meshes;

D O I：

10.1007/s10543-017-0652-2

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We present a minor modification of of the stabilisation term in the local projection stabilisation (LPS) method for stabilising singularly perturbed problems on layer-adapted meshes, such that the error can be estimated uniformly and in optimal order in the associated LPS-norm, which is stronger than the standard energy norm. Numerical results confirm the theoretical findings.

引用

页码：771 / 786

页数：16

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