首页|Convergence and supercloseness of a finite element method for a two-parameter singularly perturbed problem on Shishkin triangular mesh

Convergence and supercloseness of a finite element method for a two-parameter singularly perturbed problem on Shishkin triangular mesh

扫码查看
原文链接
  • NSTL
  • Elsevier
We consider a singularly perturbed elliptic problem with two parameters in two dimensions. Using linear finite element method on a Shishkin triangular mesh, we prove the uniform convergence and supercloseness in an energy norm. Some integral inequalities play an important role in our analysis. Numerical tests verify our theoretical results. (C) 2021 Elsevier Inc. All rights reserved.

Singular perturbationUniform convergenceFinite element methodShishkin triangular meshSuperclosenessTwo parametersCONVECTION-DIFFUSION PROBLEMSINTERIOR PENALTY METHOD

Lv, Yanhui、Zhang, Jin

展开 >

Shandong Normal Univ

2022

10.1016/j.amc.2021.126753

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN：0096-3003
年,卷(期)：2022.416
  • 1
  • 22