A nonconforming virtual element method for advection–diffusion–reaction problems with CIP stabilization
We study a nonconforming virtual element method (VEM) for advection–diffusion–reaction problems with continuous interior penalty (CIP) stabilization. The design of the method is based on a standard variational formulation of the problem (no skew-symmetrization), and boundary conditions are imposed with a Nitsche technique. We use the enhanced version of VEM, with a “dofi-dofi” stabilization in the diffusion and reaction terms. We prove stability of the proposed method and derive h -version error estimates.
Authors
- Ilaria Perugia (ORCID: https://orcid.org/0000-0003-1368-2883)
- Carlo Lovadina (ORCID: https://orcid.org/0000-0002-1849-3283)
- Manuel Trezzi (ORCID: https://orcid.org/0009-0002-8752-6883)
Institutions
- University of Vienna (AT)
- University of Milan (IT)
- Istituto di Matematica Applicata e Tecnologie Informatiche (IT)
- University of Milano-Bicocca (IT)
Publication Details
- Journal
- ESAIM. Mathematical modelling and numerical analysis
- Published
- 2025-03-28
- DOI
- https://doi.org/10.1051/m2an/2025023
- Citations
- 3
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 4.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Austrian Science Fund
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Ministero dell'Università e della Ricerca
- Gruppo Nazionale per il Calcolo Scientifico