An hp finite element method for a two-dimensional singularly perturbed boundary value problem with two small parameters

被引：1

作者：

Sykopetritou, I. ^{[1
]}

Xenophontos, C. ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, POB 20537, CY-1678 Nicosia, Cyprus

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 439卷

关键词：

Singularly perturbed problem; Reaction-convection-diffusion; Boundary layers; Exponential convergence; hp finite element method; Robust exponential convergence; CORNER SINGULARITIES; LAYERS;

D O I：

10.1016/j.cam.2023.115620

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a singularly perturbed boundary value problem, of reaction-convection- diffusion type with two small parameters, and the approximation of its solution by the hp version of the Finite Element Method on the Spectral Boundary Layer mesh. We show that the method converges uniformly, with respect to both singular perturbation parameters, at an exponential rate when the error is measured in the energy norm. Numerical examples illustrating our theoretical findings are also included.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：14

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