Maximum principle preserving nonlocal diffusion model with Dirichlet boundary condition
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916351770099712 |
|---|---|
| author | Meng, Yanzun Shi, Zuoqiang |
| author_facet | Meng, Yanzun Shi, Zuoqiang |
| contents | In this paper, we propose nonlocal diffusion models with Dirichlet boundary. These nonlocal diffusion models preserve the maximum principle and also have corresponding variational form. With these good properties, we can prove the well-posedness and the vanishing nonlocality convergence. Furthermore, by specifically designed weight function, we can get a nonlocal diffusion model with second order convergence which is optimal for nonlocal diffusion models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01221 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Maximum principle preserving nonlocal diffusion model with Dirichlet boundary condition Meng, Yanzun Shi, Zuoqiang Analysis of PDEs Numerical Analysis In this paper, we propose nonlocal diffusion models with Dirichlet boundary. These nonlocal diffusion models preserve the maximum principle and also have corresponding variational form. With these good properties, we can prove the well-posedness and the vanishing nonlocality convergence. Furthermore, by specifically designed weight function, we can get a nonlocal diffusion model with second order convergence which is optimal for nonlocal diffusion models. |
| title | Maximum principle preserving nonlocal diffusion model with Dirichlet boundary condition |
| topic | Analysis of PDEs Numerical Analysis |
| url | https://arxiv.org/abs/2310.01221 |