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

2023/05/22 by Maltese, David, Ogabi, Chokri
#Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2305.12781

Abstract

In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming Q₁ finite element method are derived, and some other results of convergence and regularity for the continuous problem are proved.

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