English

Uniform estimates for conforming Galerkin method for anisotropic singularly perturbed elliptic problems

Numerical Analysis 2023-12-19 v2 Numerical Analysis Analysis of PDEs

Abstract

In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming Q1Q_1 finite element method are derived, and some other results of convergence and regularity for the continuous problem are proved.

Keywords

Cite

@article{arxiv.2305.12781,
  title  = {Uniform estimates for conforming Galerkin method for anisotropic singularly perturbed elliptic problems},
  author = {David Maltese and Chokri Ogabi},
  journal= {arXiv preprint arXiv:2305.12781},
  year   = {2023}
}
R2 v1 2026-06-28T10:41:01.373Z