A monotonicity-based globalization of the level-set method for inclusion detection
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917903504244736 |
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| author | Harrach, Bastian Meftahi, Houcine |
| author_facet | Harrach, Bastian Meftahi, Houcine |
| contents | We focus on a geometrical inverse problem that involves recovering discontinuities in electrical conductivity based on boundary measurements. This problem serves as a model to introduce a shape recovery technique that merges the monotonicity method with the level-set method. The level-set method, commonly used in shape optimization, often relies heavily on the accuracy of the initial guess. To overcome this challenge, we utilize the monotonicity method to generate a more precise initial guess, which is then used to initialize the level-set method. We provide numerical results to illustrate the effectiveness of this combined approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15887 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A monotonicity-based globalization of the level-set method for inclusion detection Harrach, Bastian Meftahi, Houcine Numerical Analysis We focus on a geometrical inverse problem that involves recovering discontinuities in electrical conductivity based on boundary measurements. This problem serves as a model to introduce a shape recovery technique that merges the monotonicity method with the level-set method. The level-set method, commonly used in shape optimization, often relies heavily on the accuracy of the initial guess. To overcome this challenge, we utilize the monotonicity method to generate a more precise initial guess, which is then used to initialize the level-set method. We provide numerical results to illustrate the effectiveness of this combined approach. |
| title | A monotonicity-based globalization of the level-set method for inclusion detection |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2501.15887 |