A robust a posteriori error estimator for the Oseen problem
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866913062635700224 |
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| author | Afzal, Muhammad Ahmed, Naveed John, Volker |
| author_facet | Afzal, Muhammad Ahmed, Naveed John, Volker |
| contents | A residual-based a posteriori error estimator is proposed for the incompressible Oseen problem in the convection-dominated regime. The SUPG/PSPG/grad-div stabilized finite element method is used as discretization. The error estimator estimates the global error in a norm that is used in the a priori error analysis of the method. Based on several hypotheses concerning the error and interpolation errors, the robustness of the estimator in the convection-dominated regime is proved. Numerical studies support the analytic results. Finally, the extension of the a posteriori error estimator to the steady-state Navier--Stokes equations is discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23453 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A robust a posteriori error estimator for the Oseen problem Afzal, Muhammad Ahmed, Naveed John, Volker Numerical Analysis A residual-based a posteriori error estimator is proposed for the incompressible Oseen problem in the convection-dominated regime. The SUPG/PSPG/grad-div stabilized finite element method is used as discretization. The error estimator estimates the global error in a norm that is used in the a priori error analysis of the method. Based on several hypotheses concerning the error and interpolation errors, the robustness of the estimator in the convection-dominated regime is proved. Numerical studies support the analytic results. Finally, the extension of the a posteriori error estimator to the steady-state Navier--Stokes equations is discussed. |
| title | A robust a posteriori error estimator for the Oseen problem |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2604.23453 |