In this letter we compare the behaviour of standard Virtual Element Methods (VEM) and stabilization free Enlarged Enhancement Virtual Element Methods (E2V EM) with the focus on some elliptic test problems whose solution and diffusivity tensor are characterized by anisotropies. Results show that the possibility to avoid an arbitrary stabilizing part, offered by E2V EM methods, can reduce the magnitude of the error on general polygonal meshes and help convergence.

Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems / Berrone, S.; Borio, A.; Marcon, F.. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - ELETTRONICO. - 129:(2022), p. 107971. [10.1016/j.aml.2022.107971]

Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems

Berrone S.;Borio A.;Marcon F.
2022

Abstract

In this letter we compare the behaviour of standard Virtual Element Methods (VEM) and stabilization free Enlarged Enhancement Virtual Element Methods (E2V EM) with the focus on some elliptic test problems whose solution and diffusivity tensor are characterized by anisotropies. Results show that the possibility to avoid an arbitrary stabilizing part, offered by E2V EM methods, can reduce the magnitude of the error on general polygonal meshes and help convergence.
File in questo prodotto:
File Dimensione Formato  
Art-E2VEM-Comparison_full.pdf

Open Access dal 08/02/2024

Descrizione: Author's Accepted Manuscript
Tipologia: 2. Post-print / Author's Accepted Manuscript
Licenza: Creative commons
Dimensione 690.55 kB
Formato Adobe PDF
690.55 kB Adobe PDF Visualizza/Apri
Versione_pubblicata.pdf

non disponibili

Descrizione: Post-print versione editoriale
Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 1.06 MB
Formato Adobe PDF
1.06 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Art-E2VEM-Comparison.pdf

accesso aperto

Descrizione: Preprint
Tipologia: 1. Preprint / submitted version [pre- review]
Licenza: Creative commons
Dimensione 589.66 kB
Formato Adobe PDF
589.66 kB 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/11583/2955610