{"ID":2839290,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.20687","arxiv_id":"2511.20687","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","abstract":"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.","short_abstract":"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...","url_abs":"https://arxiv.org/abs/2511.20687","url_pdf":"https://arxiv.org/pdf/2511.20687v2","authors":"[\"Irina Tezaur\",\"Eric Parish\",\"Anthony Gruber\",\"Ian Moore\",\"Christopher Wentland\",\"Alejandro Mota\"]","published":"2025-11-20T23:30:23Z","proceeding":"math.NA","tasks":"[\"math.NA\",\"cs.AI\",\"math-ph\"]","methods":"[]","has_code":false}