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.
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页码：771 / 786
页数：16
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