Weak and very weak solutions of the Laplace equation and the Stokes system with prescribed regularity
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913724514697216 |
|---|---|
| author | Apel, Thomas Lorenz, Katharina Nicaise, Serge |
| author_facet | Apel, Thomas Lorenz, Katharina Nicaise, Serge |
| contents | To verify theoretical results it is sometimes important to use a numerical example where the solution has a particular regularity. The paper describes one approach to construct such examples. It is based on the regularity theory for elliptic boundary value problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05437 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak and very weak solutions of the Laplace equation and the Stokes system with prescribed regularity Apel, Thomas Lorenz, Katharina Nicaise, Serge Numerical Analysis Analysis of PDEs To verify theoretical results it is sometimes important to use a numerical example where the solution has a particular regularity. The paper describes one approach to construct such examples. It is based on the regularity theory for elliptic boundary value problems. |
| title | Weak and very weak solutions of the Laplace equation and the Stokes system with prescribed regularity |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2503.05437 |