Stability of the Ritz projection in weighted $W^{1,1}$
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909135009742848 |
|---|---|
| author | Drelichman, Irene Duran, Ricardo G. |
| author_facet | Drelichman, Irene Duran, Ricardo G. |
| contents | We prove the stability in weighted $W^{1,1}$ spaces for standard finite element approximations of the Poisson equation in convex polygonal or polyhedral domains, when the weight belongs to Muckenhoupt's class $A_1$ and the family of meshes is quasi-uniform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07934 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of the Ritz projection in weighted $W^{1,1}$ Drelichman, Irene Duran, Ricardo G. Numerical Analysis 65N30, 65N12 We prove the stability in weighted $W^{1,1}$ spaces for standard finite element approximations of the Poisson equation in convex polygonal or polyhedral domains, when the weight belongs to Muckenhoupt's class $A_1$ and the family of meshes is quasi-uniform. |
| title | Stability of the Ritz projection in weighted $W^{1,1}$ |
| topic | Numerical Analysis 65N30, 65N12 |
| url | https://arxiv.org/abs/2403.07934 |