Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: Corner domains

被引：5

作者：

Faustmann, M. ^{[1
]}

Melenk, J. M. ^{[1
]}

机构：

[1] Tech Univ Wien, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 07期

关键词：

High order FEM; Singular perturbation; Balanced norm; Uniform estimates; FINITE-ELEMENT-METHOD; BOUNDARY-LAYERS;

D O I：

10.1016/j.camwa.2017.03.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The hp-version of the finite element method is applied to singularly perturbed reaction diffusion type equations on polygonal domains. The solution exhibits boundary layers as well as corner layers. On a class of meshes that are suitably refined near the boundary and the corners, robust exponential convergence (in the polynomial degree) is shown in both a balanced norm and the maximum norm. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：1576 / 1589

页数：14

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