Flows in fractured media have been modeled with many different approaches in order to get reliable and efficient simulations for many critical applications. The common issues to be tackled are the wide range of scales involved in the phenomenon, the complexity of the domain, and the huge computational cost. In this paper we introduce residual-based “a posteriori” error estimates for a formulation of the flow in the discrete fracture networks based on a constrained optimization approach (see Berrone, Pieraccini, and Scialo` [SIAM J. Sci. Comput., 35 (2013), pp. B487–B510], [SIAM J. Sci. Comput., 35 (2013), pp. A908–A935], [J. Comput. Phys., 256 (2014), pp. 838–853]), suitable to overcome all the difficulties related to a good quality mesh generation with conformity requirement.

A posteriori error estimate for a PDE-constrained optimization formulation for the flow in DFNs / Berrone, Stefano; Borio, Andrea; Scialo', Stefano. - In: SIAM JOURNAL ON NUMERICAL ANALYSIS. - ISSN 0036-1429. - STAMPA. - 54:1(2016), pp. 242-261. [10.1137/15M1014760]

A posteriori error estimate for a PDE-constrained optimization formulation for the flow in DFNs

BERRONE, Stefano;BORIO, ANDREA;SCIALO', STEFANO
2016

Abstract

Flows in fractured media have been modeled with many different approaches in order to get reliable and efficient simulations for many critical applications. The common issues to be tackled are the wide range of scales involved in the phenomenon, the complexity of the domain, and the huge computational cost. In this paper we introduce residual-based “a posteriori” error estimates for a formulation of the flow in the discrete fracture networks based on a constrained optimization approach (see Berrone, Pieraccini, and Scialo` [SIAM J. Sci. Comput., 35 (2013), pp. B487–B510], [SIAM J. Sci. Comput., 35 (2013), pp. A908–A935], [J. Comput. Phys., 256 (2014), pp. 838–853]), suitable to overcome all the difficulties related to a good quality mesh generation with conformity requirement.
File in questo prodotto:
File Dimensione Formato  
15m1014760.pdf

accesso aperto

Descrizione: Articolo principale
Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: PUBBLICO - Tutti i diritti riservati
Dimensione 1.05 MB
Formato Adobe PDF
1.05 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2624866
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo