A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems
Résumé
We consider a parabolic-parabolic interface problem and construct a loosely coupled prediction-correction scheme based on the Robin-Robin splitting method analyzed in [J. Numer. Math., 31(1):59--77, 2023]. We show that the errors of the correction step converge at second-order, under suitable convergence rate assumptions on the discrete time derivative of the prediction step. Numerical results are shown to support our analysis and the assumptions.
Domaines
Analyse numérique [math.NA]
Origine : Fichiers produits par l'(les) auteur(s)