On Some New Results on Anisotropic Singular Perturbations of Second Order Elliptic Operators - Laboratoire d'Analyse et de Mathématiques Appliquées Accéder directement au contenu
Article Dans Une Revue Communications on Pure and Applied Analysis Année : 2023

On Some New Results on Anisotropic Singular Perturbations of Second Order Elliptic Operators

Résumé

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.
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Dates et versions

hal-03546106 , version 1 (27-01-2022)
hal-03546106 , version 2 (05-02-2022)

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David Maltese, Chokri Ogabi. On Some New Results on Anisotropic Singular Perturbations of Second Order Elliptic Operators. Communications on Pure and Applied Analysis, 2023, ⟨10.3934/cpaa.2023004⟩. ⟨hal-03546106v2⟩
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