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

Autor: Maltese, David, Ogabi, Chokri
Předmět:
Zdroj: Applicable Analysis; Sep2024, Vol. 103 Issue 14, p2625-2646, 22p
Abstrakt: In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming $ Q_1 $ Q 1 finite element method are derived, and some other results of convergence and regularity for the continuous problem are proved. The arguments are based on the tensorization trick and standard elliptic regularity theory tools. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index