A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914876184592384 |
|---|---|
| author | Lovadina, Carlo Perugia, Ilaria Trezzi, Manuel |
| author_facet | Lovadina, Carlo Perugia, Ilaria Trezzi, Manuel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00612 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization Lovadina, Carlo Perugia, Ilaria Trezzi, Manuel Numerical Analysis 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. |
| title | A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2407.00612 |