A Posteriori Error Estimation Improved by a Reconstruction Operator for the Stokes Optimal Control Problem
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917229134610432 |
|---|---|
| author | Li, Jingshi Zhang, Jiachuan |
| author_facet | Li, Jingshi Zhang, Jiachuan |
| contents | This paper focuses on a posteriori error estimates for a pressure-robust finite element method, which incorporates a divergence-free reconstruction operator, within the context of the distributed optimal control problem constrained by the Stokes equations. We develop an enhanced residual-based a posteriori error estimator that is independent of pressure and establish its global reliability and efficiency. The proposed a posteriori error estimator enables the separation of velocity and pressure errors in a posteriori error estimation, ensuring velocity-related estimates are free of pressure influence. Numerical experiments confirm our conclusions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16482 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Posteriori Error Estimation Improved by a Reconstruction Operator for the Stokes Optimal Control Problem Li, Jingshi Zhang, Jiachuan Numerical Analysis This paper focuses on a posteriori error estimates for a pressure-robust finite element method, which incorporates a divergence-free reconstruction operator, within the context of the distributed optimal control problem constrained by the Stokes equations. We develop an enhanced residual-based a posteriori error estimator that is independent of pressure and establish its global reliability and efficiency. The proposed a posteriori error estimator enables the separation of velocity and pressure errors in a posteriori error estimation, ensuring velocity-related estimates are free of pressure influence. Numerical experiments confirm our conclusions. |
| title | A Posteriori Error Estimation Improved by a Reconstruction Operator for the Stokes Optimal Control Problem |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2502.16482 |