A Posteriori Error Estimates for Biot System using Enriched Galerkin for Flow - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2020

A Posteriori Error Estimates for Biot System using Enriched Galerkin for Flow

Résumé

We analyze the Biot system solved with a fixed-stress split, Enriched Galerkin (EG) discretiza-tion for the flow equation, and Galerkin for the mechanics equation. Residual-based a posteriori error estimates are established with both lower and upper bounds. These theoretical results are confirmed by numerical experiments performed with Mandel's problem. The efficiency of these a posteriori error estimators to guide dynamic mesh refinement is demonstrated with a prototype unconventional reservoir model containing a fracture network. We further propose a novel stopping criterion for the fixed-stress iterations using the error indicators to balance the fixed-stress split error with the discretization errors. The new stopping criterion does not require hyperparameter tuning and demonstrates efficiency and accuracy in numerical experiments.
Fichier principal
Vignette du fichier
Girault et al. - 2020 - A posteriori error estimates for Biot system using.pdf (1.35 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03013610 , version 1 (19-11-2020)

Identifiants

Citer

Vivette Girault, Xueying Lu, Mary F Wheeler. A Posteriori Error Estimates for Biot System using Enriched Galerkin for Flow. Computer Methods in Applied Mechanics and Engineering, 2020, 369, pp.113185. ⟨10.1016/j.cma.2020.113185⟩. ⟨hal-03013610⟩
28 Consultations
55 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More