In the framework of the discretization of advection-diffusion problems by means of the Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by adding a consistent SUPG-like term. For this approach we prove optimal rates of convergence. Numerical results clearly show the stabilizing effect of the method up to very large Péclet numbers and are in very good agreement with the expected rate of convergence.
Order preserving SUPG stabilization for the Virtual Element formulation of advection-diffusion problems / Benedetto, M. F.; Berrone, Stefano; Borio, Andrea; Pieraccini, Sandra; Scialo', Stefano. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - STAMPA. - 311:(2016), pp. 18-40. [10.1016/j.cma.2016.07.043]
Order preserving SUPG stabilization for the Virtual Element formulation of advection-diffusion problems
BERRONE, Stefano;BORIO, ANDREA;PIERACCINI, SANDRA;SCIALO', STEFANO
2016
Abstract
In the framework of the discretization of advection-diffusion problems by means of the Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by adding a consistent SUPG-like term. For this approach we prove optimal rates of convergence. Numerical results clearly show the stabilizing effect of the method up to very large Péclet numbers and are in very good agreement with the expected rate of convergence.File | Dimensione | Formato | |
---|---|---|---|
Art-VEM-SUPG.pdf
accesso aperto
Tipologia:
1. Preprint / submitted version [pre- review]
Licenza:
PUBBLICO - Tutti i diritti riservati
Dimensione
1.87 MB
Formato
Adobe PDF
|
1.87 MB | Adobe PDF | Visualizza/Apri |
1-s2.0-S0045782516301773-main.pdf
non disponibili
Descrizione: Versione pubblicata
Tipologia:
2a Post-print versione editoriale / Version of Record
Licenza:
Non Pubblico - Accesso privato/ristretto
Dimensione
3.57 MB
Formato
Adobe PDF
|
3.57 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2643182
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo