Optimal $L^2$ error estimation for the unfitted interface finite element method based on the non-symmetric Nitsche's methods
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911209075245056 |
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| author | Chen, Gang Liu, Chaoran Zhang, Yangwen |
| author_facet | Chen, Gang Liu, Chaoran Zhang, Yangwen |
| contents | This paper establishes optimal error estimates in the $L^2$ for the non-symmetric Nitsche method in an unfitted interface finite element setting. Extending our earlier work, we give a complete analysis for the Poisson interface model and, by formulating a tailored dual problem that restores adjoint consistency, derive the desired bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12151 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal $L^2$ error estimation for the unfitted interface finite element method based on the non-symmetric Nitsche's methods Chen, Gang Liu, Chaoran Zhang, Yangwen Numerical Analysis This paper establishes optimal error estimates in the $L^2$ for the non-symmetric Nitsche method in an unfitted interface finite element setting. Extending our earlier work, we give a complete analysis for the Poisson interface model and, by formulating a tailored dual problem that restores adjoint consistency, derive the desired bounds. |
| title | Optimal $L^2$ error estimation for the unfitted interface finite element method based on the non-symmetric Nitsche's methods |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2510.12151 |