ARTICLE
Finite element approximation for linear elliptic equation with L1-data
- Bulletin of Mathematical Analysis and Applications , 15 (1) : 34-48
Lien de l'article :
https://doi.org/10.54671/bmaa-2023-1-4
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Yibour Corentin BASSONON, Arouna OUEDRAOGO
Auteur(s) tagués :
BASSONON Yibour Corentin
OUEDRAOGO Arouna
Renseignée par : BASSONON Yibour Corentin
Résumé
In this paper, we consider, in dimension d ≥ 2, the P1 finite elements approximation of the linear elliptic equation which generalizes Laplace’s
equation. When the right-hand side belongs to L1(Ω), we prove that the unique
solution of the discrete problem converges in L1(Ω) to the unique renormalized
solution of the problem.
Mots-clés
Finite element, renormalized solution, P1 approximations, L1-data