Hybrid coupling with operator inference and the overlapping Schwarz alternating method
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912801353629696 |
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| author | Tezaur, Irina Parish, Eric Gruber, Anthony Moore, Ian Wentland, Christopher Mota, Alejandro |
| author_facet | Tezaur, Irina Parish, Eric Gruber, Anthony Moore, Ian Wentland, Christopher Mota, Alejandro |
| contents | This paper presents a novel hybrid approach for coupling subdomain-local non-intrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain-local high-fidelity full order models (FOMs) with using the overlapping Schwarz alternating method (O-SAM). The proposed methodology addresses significant challenges in multiscale modeling and simulation, particularly the long runtime and complex mesh generation requirements associated with traditional high-fidelity simulations. By leveraging the flexibility of O-SAM, we enable the seamless integration of disparate models, meshes, and time integration schemes, enhancing computational efficiency while maintaining high accuracy. Our approach is demonstrated through a series of numerical experiments on complex three-dimensional (3D) solid dynamics problems, showcasing speedups of up to 106x compared to conventional FOM-FOM couplings. This work paves the way for more efficient simulation workflows in engineering applications, with potential extensions to a wide range of partial differential equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20687 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hybrid coupling with operator inference and the overlapping Schwarz alternating method Tezaur, Irina Parish, Eric Gruber, Anthony Moore, Ian Wentland, Christopher Mota, Alejandro Numerical Analysis Artificial Intelligence Mathematical Physics This paper presents a novel hybrid approach for coupling subdomain-local non-intrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain-local high-fidelity full order models (FOMs) with using the overlapping Schwarz alternating method (O-SAM). The proposed methodology addresses significant challenges in multiscale modeling and simulation, particularly the long runtime and complex mesh generation requirements associated with traditional high-fidelity simulations. By leveraging the flexibility of O-SAM, we enable the seamless integration of disparate models, meshes, and time integration schemes, enhancing computational efficiency while maintaining high accuracy. Our approach is demonstrated through a series of numerical experiments on complex three-dimensional (3D) solid dynamics problems, showcasing speedups of up to 106x compared to conventional FOM-FOM couplings. This work paves the way for more efficient simulation workflows in engineering applications, with potential extensions to a wide range of partial differential equations. |
| title | Hybrid coupling with operator inference and the overlapping Schwarz alternating method |
| topic | Numerical Analysis Artificial Intelligence Mathematical Physics |
| url | https://arxiv.org/abs/2511.20687 |