Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866907852612829184 |
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| author | Jha, Abhinav |
| author_facet | Jha, Abhinav |
| contents | In this note, we extend the analysis for the residual-based a posteriori error estimators in the energy norm defined for the algebraic flux correction (AFC) schemes [Jha20.CAMWA] to the newly proposed algebraic stabilization schemes [JK21.NM, Kn23.NA]. Numerical simulations on adaptively refined grids are performed in two dimensions showing the higher efficiency of an algebraic stabilization with similar accuracy compared with an AFC scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02804 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations Jha, Abhinav Numerical Analysis In this note, we extend the analysis for the residual-based a posteriori error estimators in the energy norm defined for the algebraic flux correction (AFC) schemes [Jha20.CAMWA] to the newly proposed algebraic stabilization schemes [JK21.NM, Kn23.NA]. Numerical simulations on adaptively refined grids are performed in two dimensions showing the higher efficiency of an algebraic stabilization with similar accuracy compared with an AFC scheme. |
| title | Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2404.02804 |