On some new results on anisotropic singular perturbations of second order elliptic operators
Analysis of PDEs
2022-02-08 v2
Abstract
In this article, we deal with some problems involving a class of singularly perturbed elliptic operator. We prove the asymptotic preserving of a general Galerkin method associated to a semilinear problem. We use a particular Galerkin approximation to estimate the convergence rate on the whole domain, for the linear problem. Finally, we study the asymptotic behavior of the semigroup generated.
Keywords
Cite
@article{arxiv.2201.11977,
title = {On some new results on anisotropic singular perturbations of second order elliptic operators},
author = {David Maltese and Chokri Ogabi},
journal= {arXiv preprint arXiv:2201.11977},
year = {2022}
}