Finite element approximation of a singular elliptic problem with discontinuous coefficients
Résumé
We propose a finite element discretization of a singular elliptic problem with discontinuous coefficients. We use a "regularize then discretize" approach. We show that our method converges in 1, 2 and 3 space dimensions. We also perform numerical simulations in two space dimensions with FreeFem++, using an adaptive mesh strategy to deal with the singularity. The simulations confirm the validity of our approach.
Origine : Fichiers produits par l'(les) auteur(s)
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