A non-intrusive data-based reformulation of a hybrid projection-based model reduction method
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916328845082624 |
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| author | Gosea, Ion Victor Gugercin, Serkan Beattie, Christopher |
| author_facet | Gosea, Ion Victor Gugercin, Serkan Beattie, Christopher |
| contents | We present a novel data-driven reformulation of the iterative SVD-rational Krylov algorithm (ISRK), in its original formulation a Petrov-Galerkin (two-sided) projection-based iterative method for model reduction combining rational Krylov subspaces (on one side) with Gramian/SVD based subspaces (on the other side). We show that in each step of ISRK, we do not necessarily require access to the original system matrices, but only to input/output data in the form of the system's transfer function, evaluated at particular values (frequencies). Numerical examples illustrate the efficiency of the new data-driven formulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13073 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A non-intrusive data-based reformulation of a hybrid projection-based model reduction method Gosea, Ion Victor Gugercin, Serkan Beattie, Christopher Numerical Analysis Dynamical Systems We present a novel data-driven reformulation of the iterative SVD-rational Krylov algorithm (ISRK), in its original formulation a Petrov-Galerkin (two-sided) projection-based iterative method for model reduction combining rational Krylov subspaces (on one side) with Gramian/SVD based subspaces (on the other side). We show that in each step of ISRK, we do not necessarily require access to the original system matrices, but only to input/output data in the form of the system's transfer function, evaluated at particular values (frequencies). Numerical examples illustrate the efficiency of the new data-driven formulation. |
| title | A non-intrusive data-based reformulation of a hybrid projection-based model reduction method |
| topic | Numerical Analysis Dynamical Systems |
| url | https://arxiv.org/abs/2407.13073 |