Pré-Publication, Document De Travail Année : 2025

Dimension reduction and error estimates

Georges Griso
Nadia Bengouga
  • Fonction : Auteur
  • PersonId : 1488337

Résumé

The aim of this paper is twofold: to provide asymptotic behavior and error estimates results for an elliptic dimension reduction problem. The problem is posed in a bounded and thin domain

where ω δ = δω when δ → 0 (the thickness of Ω δ is of order δ while its diameter is of order 1). The limit problem is elliptic and is posed in O. Under the assumption that O has a smooth boundary (C 1,1 ) and homogeneous Dirichlet boundary condition, we give two important results: an estimate of the global error, whose order is δ 1/2 , and an estimate of the L 2 global and H 1 interior errors, whose order is δ.

Fichier principal
Vignette du fichier
Merzougui-Griso-Bengouga.pdf (342.83 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04881120 , version 1 (11-01-2025)

Identifiants

  • HAL Id : hal-04881120 , version 1

Citer

Georges Griso, Louiza Merzougui, Nadia Bengouga. Dimension reduction and error estimates. 2025. ⟨hal-04881120⟩
0 Consultations
0 Téléchargements

Partager

More