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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.12485 |
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| _version_ | 1866908407914561536 |
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| author | Xuyang, Na |
| author_facet | Xuyang, Na |
| contents | In this paper, we develop a new two-side Robin-Robin domain decomposition method for H(div)-elliptic problem. Numerical results show that the convergence rate of the new algorithm only depends on $H/h$, where $H$ is diameter of subdomains and $h$ is the mesh size. Besides, an algebraic system of Robin boundary conditions is derived from the iterative method. We solve it by MINRES and get asymptotically stable iteration numbers as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12485 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An optimal two-side Robin-Robin domain decomposition method for H(div)-elliptic problem Xuyang, Na Numerical Analysis In this paper, we develop a new two-side Robin-Robin domain decomposition method for H(div)-elliptic problem. Numerical results show that the convergence rate of the new algorithm only depends on $H/h$, where $H$ is diameter of subdomains and $h$ is the mesh size. Besides, an algebraic system of Robin boundary conditions is derived from the iterative method. We solve it by MINRES and get asymptotically stable iteration numbers as well. |
| title | An optimal two-side Robin-Robin domain decomposition method for H(div)-elliptic problem |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2506.12485 |