CIP-stabilized virtual elements for diffusion-convection-reaction problems-Reference-Cited by-同舟云学术

CIP-stabilized virtual elements for diffusion-convection-reaction problems

Published:2024-05-31 Issue: Volume: Page:
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Beirão da Veiga L¹²,Lovadina C³,Trezzi M⁴

Affiliation:

1. Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano Bicocca , Via Roberto Cozzi 55 - 20125 Milano, Italy

2. IMATI-CNR, Via Adolfo Ferrata 5 - 27100 Pavia , Italy

3. Dipartimento di Matematica ‘F. Enriques’, Università degli Studi di Milano , Via Cesare Saldini 50 - 20133 Milano, Italy

4. Dipartimento di Matematica ‘F. Casorati’, Università di Pavia , Via Adolfo Ferrata 5 - 27100 Pavia, Italy

Abstract

Abstract The Virtual Element Method (VEM) for diffusion-convection-reaction problems is considered. In order to design a quasi-robust scheme also in the convection-dominated regime, a Continuous Interior Penalty approach is employed. Due to the presence of polynomial projection operators, typical of the VEM, the stability and the error analysis requires particular care—especially in treating the advective term. Some numerical tests are presented to support the theoretical results.

Publisher

Oxford University Press (OUP)

Link

https://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/drae020/58030195/drae020.pdf

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