A balancing domain decomposition by constraints preconditioner for a hybridizable discontinuous Galerkin discretization of an elliptic optimal control problem
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915224746983424 |
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| author | Liu, Sijing Zhang, Jinjin |
| author_facet | Liu, Sijing Zhang, Jinjin |
| contents | We consider a hybridizable discontinuous Galerkin (HDG) method for an elliptic distributed optimal control problem and we propose a balancing domain decomposition by constraints (BDDC) preconditioner to solve the discretized system. We establish an error estimate of the HDG methods with explicit tracking of a regularization parameter $β$. We observe that the BDDC preconditioner is robust with respect to $β$. Numerical results are shown to support our findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02072 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A balancing domain decomposition by constraints preconditioner for a hybridizable discontinuous Galerkin discretization of an elliptic optimal control problem Liu, Sijing Zhang, Jinjin Numerical Analysis 49J20, 49M41, 65N30, 65N55 We consider a hybridizable discontinuous Galerkin (HDG) method for an elliptic distributed optimal control problem and we propose a balancing domain decomposition by constraints (BDDC) preconditioner to solve the discretized system. We establish an error estimate of the HDG methods with explicit tracking of a regularization parameter $β$. We observe that the BDDC preconditioner is robust with respect to $β$. Numerical results are shown to support our findings. |
| title | A balancing domain decomposition by constraints preconditioner for a hybridizable discontinuous Galerkin discretization of an elliptic optimal control problem |
| topic | Numerical Analysis 49J20, 49M41, 65N30, 65N55 |
| url | https://arxiv.org/abs/2504.02072 |