Bi-level regularization via iterative mesh refinement for aeroacoustics
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914090958454784 |
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| author | Aarset, Christian Nguyen, Tram Thi Ngoc |
| author_facet | Aarset, Christian Nguyen, Tram Thi Ngoc |
| contents | In this work, we illustrate the connection between adaptive mesh refinement for finite element discretized PDEs and the recently developed \emph{bi-level regularization algorithm}. By adaptive mesh refinement according to data noise, regularization effect and convergence are immediate consequences. We moreover demonstrate its numerical advantages to the classical Landweber algorithm in term of time and reconstruction quality for the example of the Helmholtz equation in an aeroacoustic setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06854 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bi-level regularization via iterative mesh refinement for aeroacoustics Aarset, Christian Nguyen, Tram Thi Ngoc Numerical Analysis Optimization and Control 65M32, 65J22, 35R30 In this work, we illustrate the connection between adaptive mesh refinement for finite element discretized PDEs and the recently developed \emph{bi-level regularization algorithm}. By adaptive mesh refinement according to data noise, regularization effect and convergence are immediate consequences. We moreover demonstrate its numerical advantages to the classical Landweber algorithm in term of time and reconstruction quality for the example of the Helmholtz equation in an aeroacoustic setting. |
| title | Bi-level regularization via iterative mesh refinement for aeroacoustics |
| topic | Numerical Analysis Optimization and Control 65M32, 65J22, 35R30 |
| url | https://arxiv.org/abs/2409.06854 |