Multigrid Preconditioning for FD-DLM Method in Elliptic Interface Problems
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917941103034368 |
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| author | Alshehri, Najwa Boffi, Daniele Chaoveeraprasit, Chayapol |
| author_facet | Alshehri, Najwa Boffi, Daniele Chaoveeraprasit, Chayapol |
| contents | We investigate the performance of multigrid preconditioners for solving linear systems arising from finite element discretizations of elliptic interface problems using the Fictitious Domain with Distributed Lagrange Multipliers (FD-DLM) formulation. Numerical experiments are conducted using continuous and discontinuous finite element spaces for the Lagrange multiplier. Results indicate that multigrid is a promising preconditioner for problems in the FD-DLM formulation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_00146 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multigrid Preconditioning for FD-DLM Method in Elliptic Interface Problems Alshehri, Najwa Boffi, Daniele Chaoveeraprasit, Chayapol Numerical Analysis We investigate the performance of multigrid preconditioners for solving linear systems arising from finite element discretizations of elliptic interface problems using the Fictitious Domain with Distributed Lagrange Multipliers (FD-DLM) formulation. Numerical experiments are conducted using continuous and discontinuous finite element spaces for the Lagrange multiplier. Results indicate that multigrid is a promising preconditioner for problems in the FD-DLM formulation. |
| title | Multigrid Preconditioning for FD-DLM Method in Elliptic Interface Problems |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2503.00146 |