{"as_of":"2026-08-12T12:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:26f73f317ee809853edc8b148e9a383320fa8f9cc76d8eaafd1d37ea092fedd8","coverage":[{"denominator":58,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":58,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T21:07:09.882332Z","state":"measured"},{"denominator":58,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":58,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2511.20687/citation-record","integrity":"/paper/2511.20687/integrity","json":"/paper/2511.20687/citation-record.json","paper":"/paper/2511.20687"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:05.245849Z","title":"Quadratic approximation manifold for mitigating the Kol- mogorov barrier in nonlinear projection-based model order reduction","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:05.245849Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:770ba0dd9823e5dd71d755a2095bffed18f1d96321bb2b7f1b0912cb06647eba","observation_id":"9ff378c0-7e48-47ae-b1fe-dff70963fa65","resolution":{"observed_at":"2026-08-03T21:07:05.245849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:05.346946Z","title":"Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:05.346946Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:75539986b6626fd0a9d3ee3cbd2532b57824f678f7519af8a96094c1ae3cb106","observation_id":"5fb2d012-2ae3-45f7-b60a-38e519537011","resolution":{"observed_at":"2026-08-03T21:07:05.346946Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12551","last_updated":"2022-11-10T04:58:11Z","snapshot_observed_at":"2026-08-11T02:36:03.195734Z","submitted_at":"2022-10-22T20:55:22Z","title":"The Schwarz alternating method for the seamless coupling of nonlinear reduced order models and full order models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.12551","snapshot_observed_at":"2026-08-03T21:07:05.430102Z","title":"ArXiv pre-print","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:05.430102Z"},"links":{"cited_paper":"/paper/2210.12551","citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:ec0c42ac674640c9d53c672c5da33d259c84f35d8f72725d6adba9910df1fdf5","observation_id":"e5315e72-82de-4161-9e7f-e4cfa31fdc37","resolution":{"observed_at":"2026-08-03T21:07:05.430102Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:05.521068Z","title":"A zonal Galerkin-free POD model for incompressible flows","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:05.521068Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:5a0ba53afe6a1c2eba1896b8e530c33ca62cb6b0e713358e8cd27cf38938dc2e","observation_id":"9db5203c-c1a7-4b38-9825-0db2b0530c89","resolution":{"observed_at":"2026-08-03T21:07:05.521068Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:05.633322Z","title":"Boresi and Richard J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:05.633322Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:b8592290a4db3bd7d7e8aca0cef8cd66a99eacea4e11cf136c035d00436a5880","observation_id":"6e621abc-598b-46b3-b363-c3346756838c","resolution":{"observed_at":"2026-08-03T21:07:05.633322Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:05.696631Z","title":"Iterative methods for model reduction by domain decomposition","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:05.696631Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:a87327800cb8e4c0323a3ce37c460b438508f819d6b25d0c97de85818a494717","observation_id":"230bcb4e-20b3-4708-932d-89d9fe0ac40b","resolution":{"observed_at":"2026-08-03T21:07:05.696631Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.22904","last_updated":"2025-05-30T16:21:57Z","snapshot_observed_at":"2026-08-09T21:41:41.535734Z","submitted_at":"2025-05-28T22:10:16Z","title":"Defining Foundation Models for Computational Science: A Call for Clarity and Rigor","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.22904","snapshot_observed_at":"2026-08-03T21:07:05.841744Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:05.841744Z"},"links":{"cited_paper":"/paper/2505.22904","citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:dace0b4b3d94ad6add7f02d221222fd20839312c372cce64b2001f38d29bf71b","observation_id":"7c2e5102-b40e-4fdf-8a6e-e459a70af728","resolution":{"observed_at":"2026-08-03T21:07:05.841744Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:05.942008Z","title":"Train small, model big: Scalable physics simulators via reduced order modeling and domain decomposition","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:05.942008Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:5ed624e507f8d7529a30f046327198809a80b4cbf1d5e8ad5473edfe2e3a7c30","observation_id":"4a456207-caed-4c2b-ae11-a506e5f6428f","resolution":{"observed_at":"2026-08-03T21:07:05.942008Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:06.061732Z","title":"A hybrid method based on POD and domain decomposition to compute the 2-D aerodynamic flow field - incompressible validation","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:06.061732Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:bc27fbee411c09e390890e79d4528db3221ae701b06b6d1437829062ce4d8353","observation_id":"63b8a2a4-b105-419d-87e5-b725ba8d3e4c","resolution":{"observed_at":"2026-08-03T21:07:06.061732Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:06.188242Z","title":"A domain decomposition framework for fluid-structure interaction problems","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:06.188242Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:3479f190e68475ade539aa9b2d3dacddd52ee6cb62ad4207a742b540a242583d","observation_id":"57f5adc3-c8c2-4c99-bf4f-7fe60901f34a","resolution":{"observed_at":"2026-08-03T21:07:06.188242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:06.513225Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:06.513225Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:2b3dff996665adb51f419e16bf77cd97bd5b0fd7d83b44b99fc3ce03d9293c29","observation_id":"cfd75a5e-a749-4a4e-a67d-0ea75dc76d89","resolution":{"observed_at":"2026-08-03T21:07:06.513225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.00224","last_updated":"2025-08-29T20:25:18Z","snapshot_observed_at":"2026-08-10T05:27:18.738937Z","submitted_at":"2025-08-29T20:25:18Z","title":"Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.00224","snapshot_observed_at":"2026-08-03T21:07:06.581765Z","title":"Diaz et al.Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:06.581765Z"},"links":{"cited_paper":"/paper/2509.00224","citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:2b5a1076b1b3e01b02ee5afa30d8ad13b708b4e2cdd914a52974fbf9d300e08c","observation_id":"98da4b84-be1b-4ba6-83b2-a33fab1c9ed4","resolution":{"observed_at":"2026-08-03T21:07:06.581765Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:06.671523Z","title":"An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:06.671523Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:5645f291c2902c92f9cf1bbf98a5ceee427268906a5ebf1b3af20c4911888ee5","observation_id":"8129d8f6-1761-4733-8be5-96b5374baed5","resolution":{"observed_at":"2026-08-03T21:07:06.671523Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:06.766652Z","title":"Evans, and Matteo Giacomini.PGD-based local surrogate models via over- lapping domain decomposition: a computational comparison","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:06.766652Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:6328a60305633c3b0e1a46ae73b7c2b202d2bdb2e7e37f4c325c71269848c185","observation_id":"68c9984d-7e78-4488-ab7b-69dbce67d98b","resolution":{"observed_at":"2026-08-03T21:07:06.766652Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:06.858279Z","title":"Model reduction of coupled systems based on non- intrusive approximations of the boundary response maps","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:06.858279Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:f239fb1947be5a846b5c0d82a93edf0458bf7e09dbf9f754fd5a51c80e6f47da","observation_id":"1d571e52-3571-4451-aad0-763deda304b0","resolution":{"observed_at":"2026-08-03T21:07:06.858279Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:06.922534Z","title":"Domain Decomposition for Data-Driven Reduced Modeling of Large- Scale Systems","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:06.922534Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:6a4c40223ddbede7fceffe92b2db37ac6894ae91542eb402a6bc654d30a82305","observation_id":"f3c088ab-7b91-4342-ade2-288f4ac2e2e3","resolution":{"observed_at":"2026-08-03T21:07:06.922534Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:07.014076Z","title":"Schwarz methods over the course of time","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:07.014076Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:a9d4513523f7610240383de2d357a3cbbbadfac0fd764a48d8551cacafe357b7","observation_id":"ac5502e0-77c3-4c75-bdd6-396557061fb3","resolution":{"observed_at":"2026-08-03T21:07:07.014076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:07.111056Z","title":"Operator inference for non-intrusive model reduction with quadratic manifolds","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:07.111056Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:423c0d0e11968468198d680314033e1f23e6db75e412f7c57f28a2422eaff853","observation_id":"836b6a5c-6abe-4a4e-9f1e-3d3fd3560146","resolution":{"observed_at":"2026-08-03T21:07:07.111056Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:07.172697Z","title":"Non-intrusive reduced-order modeling for dynamical systems with spatially localized features","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:07.172697Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:85de2c10abaabd0f450933d473ed7ab8eaa0bc80da8348042bcb3d53cf6990aa","observation_id":"9dafe0d1-49ed-4263-858a-3c2d8150740d","resolution":{"observed_at":"2026-08-03T21:07:07.172697Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/24m1652490","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Variationally Consistent Hamiltonian Model Reduction","venue":"SIAM Journal on Applied Dynamical Systems","work_id":"d605028e-0344-4937-a47b-638b12f95b42","year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:07.246703Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:65fa1d9b5a0bf05d946afeb0f98f5b45989852246814f4c99487ddf56422a0ad","observation_id":"7d009766-9c91-4504-8a5e-a95a962011b2","resolution":{"observed_at":"2026-08-03T21:08:19.255497Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:07.348674Z","title":"Lumley, and Gahl Berkooz.Turbulence, Coherent Structures, Dynamical Systems and Symmetry","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:07.348674Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:6b2387797ee66979e4f04a3212126c6c0d93374472a629ffa9e5ddad2a9cc118","observation_id":"8ed05fca-9f05-4772-97c7-f0d6a802c469","resolution":{"observed_at":"2026-08-03T21:07:07.348674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:07.509244Z","title":"Holzapfel.Nonlinear Solid Mechanics: A Continuum Approach for Engineering","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:07.509244Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:d212c15a670916fd0778d5d78c5e597e96982017c506183259e19e27294b99b6","observation_id":"95316700-77b3-454f-b908-f588333a0233","resolution":{"observed_at":"2026-08-03T21:07:07.509244Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:07.701448Z","title":"Galerkin proper orthogonal decomposition methods for parabolic problems","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:07.701448Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:9cafbce7a3214bd40b98717141c48eab7aa859b8615e562f787566fed109a991","observation_id":"65cd5ea8-91a2-4126-8408-a2290c6421ad","resolution":{"observed_at":"2026-08-03T21:07:07.701448Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:07.777115Z","title":"Accessed: 2025-10-31","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:07.777115Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:6bf026500908b3991d5803fb472ecb4bdf10d13cf490caa2c4433c735207a724","observation_id":"0da802e9-c71e-40a4-8587-4e2362766fa3","resolution":{"observed_at":"2026-08-03T21:07:07.777115Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:07.900921Z","title":"Accessed: 2025-10-23","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:07.900921Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:262b307576a3f90bd07b4f74106d0d2ac64e67ed80f6f69ff74f279de1f2a8d0","observation_id":"5bb4783f-1fd0-4a4e-bcc1-96b835a9766b","resolution":{"observed_at":"2026-08-03T21:07:07.900921Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:07.963509Z","title":"Accessed: 2025-10-23","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:07.963509Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:3e1c8ab926ab3eabbf6cd820993a5372ae39da190aac93366e7d708c0ff33949","observation_id":"b34c01bf-73ed-41be-b3db-cbbf0ce75231","resolution":{"observed_at":"2026-08-03T21:07:07.963509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:08.024845Z","title":"https: //github.com/sandialabs/Norma.jl","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.024845Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:3fa5281104d75314329695ea783857c38385390ebba66948a786ad78eeb7d663","observation_id":"69846727-9e28-4e32-99b0-cb515a1aa703","resolution":{"observed_at":"2026-08-03T21:07:08.024845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:08.057287Z","title":"Accessed: 2025-11-07","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.057287Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:f14be4267dc0ba47fc38c74fe012326ebc9a454b684da9fd4bfc359884851164","observation_id":"211fe8f4-58f0-47fa-b0e3-85aaa6e46171","resolution":{"observed_at":"2026-08-03T21:07:08.057287Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:08.116536Z","title":"Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.116536Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:2a843ade862f5856ec518e2d8dbfa57ce343d0cd659952617f6d4face53852f9","observation_id":"46d92b96-ece5-4467-b163-0160dc89e52b","resolution":{"observed_at":"2026-08-03T21:07:08.116536Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:08.167781Z","title":"D3M: A Deep Domain Decomposition Method for Partial Differential Equations","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.167781Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:e093d3222e58d2ca3713a51de7d3e177964a8c144389aee151f1c6f758805745","observation_id":"028a180b-51c3-4b2f-a600-ee253443a8c7","resolution":{"observed_at":"2026-08-03T21:07:08.167781Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:08.238887Z","title":"Deep Domain Decomposition Method: Elliptic Problems","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.238887Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:8500e63fbc7e16543968a215c86e9f52609c171a3e544e919d9e92d30dd980fb","observation_id":"a5faf19b-8a7d-4bc1-b8ac-933b9adbf53b","resolution":{"observed_at":"2026-08-03T21:07:08.238887Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:08.264395Z","title":"Separable physics-informed DeepONet: Breaking the curse of dimensionality in physics-informed machine learning","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.264395Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:c49f1de78b902e9e6b20880621bba05db05d47e788f63e74f9a29fdc54546e22","observation_id":"e56101e1-a384-4be6-bfc8-8557f9f8dda9","resolution":{"observed_at":"2026-08-03T21:07:08.264395Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:08.306338Z","title":"Data-driven reduced-order models via regularised Operator Inference for a single-injector combustion process","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.306338Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:76dd596a1ea2e2b3bd5b07bfb720edb09dcddfd293b655cde1c0ccbefefd4efb","observation_id":"e5e04f30-6a77-4a1d-8f1e-ce2504c41ce4","resolution":{"observed_at":"2026-08-03T21:07:08.306338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:08.351007Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.351007Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:99a94be7575cd7fb7239281c0816fca8f648544f561393a16ecacb6e4af24e41","observation_id":"241e2a31-c60f-486a-82e3-6a514c3e6e65","resolution":{"observed_at":"2026-08-03T21:07:08.351007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.01433","last_updated":"2024-10-12T02:04:23Z","snapshot_observed_at":"2026-07-06T19:09:23.342088Z","submitted_at":"2024-09-02T19:20:26Z","title":"Domain Decomposition-based coupling of Operator Inference reduced order models via the Schwarz alternating method","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.01433","snapshot_observed_at":"2026-08-03T21:07:08.360716Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.360716Z"},"links":{"cited_paper":"/paper/2409.01433","citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:ca64bdddbf8c2d7443d6cc0a83beb09511dffd3e7055f88851c6a8b603764a23","observation_id":"de9bb187-6dad-42d4-b364-856af2414d44","resolution":{"observed_at":"2026-08-03T21:07:08.360716Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.cma.2017.02.006","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Schwarz alternating method in solid mechanics","venue":"Computer Methods in Applied Mechanics and Engineering","work_id":"2fcd53d0-7f57-46eb-80fd-7b3f3d2b395a","year":2017},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.486154Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:79884dc78eee3faf46146cffb665e8f4d6c96cb2a78f4d4e197c2485c8f9dda3","observation_id":"fbd3c2ab-d7c5-424a-8292-97a9d4fea19b","resolution":{"observed_at":"2026-08-03T21:08:19.136007Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[{"edge_observation":{"observed_at":"2026-08-04T00:20:00.401334+00:00","source":"paper_reference_links","state":"open"},"event_date":"2017-12-06","event_type":"correction","notice_doi":"10.1016/j.cma.2017.10.031","provenance":{"observed_at":"2026-07-11T03:15:57.465428+00:00","source":"crossref","source_record_id":"10.1016/j.cma.2017.10.031->10.1016/j.cma.2017.02.006:correction"}}],"reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/nme.6982","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Schwarz alternating method for dynamic solid mechanics","venue":"International Journal for Numerical Methods in Engineering","work_id":"2aaa9288-7d48-4739-810b-f812aebf070d","year":2022},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.519358Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:f3c4d72f574c45ad473670c6646d29fa13633b79518c84bed8d277a511b6d8f5","observation_id":"e05153dd-e69d-44c6-8c6e-9fada54cc6d2","resolution":{"observed_at":"2026-08-03T21:08:19.014251Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/nme.2993","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A variational, finite-deformation constitutive model for piezoelectric materials","venue":"International Journal for Numerical Methods in Engineering","work_id":"2a497148-bb3c-40d5-8ea9-029582e6c6fb","year":2011},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.590172Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:5eab8cb56a901b1a5174acd55b87528351f6e8fa093e3859b20f4b0922a857c8","observation_id":"74d6c008-cfe6-4665-8ce5-a445845395b1","resolution":{"observed_at":"2026-08-03T21:08:18.722709Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/nme.70039","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A Fundamentally New Coupled Approach to Contact Mechanics via the Dirichlet-Neumann Schwarz Alternating Method","venue":"International Journal for Numerical Methods in Engineering","work_id":"8452f31f-4b77-488a-aa3e-1d8fd454fdc3","year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.686056Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:b37540b522ae062e83e3a0054601480de1b668355de661b0db0e8f656b061165","observation_id":"290e38c8-e6ce-4320-8f00-4bf1f0ec2d0f","resolution":{"observed_at":"2026-08-03T21:08:18.538246Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00466-002-0398-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Finite-element simulation of firearm injury to the human cranium","venue":"Computational Mechanics","work_id":"4446c756-d050-4e13-8257-7b21496deed3","year":2003},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.846186Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:bc364e1b5952ec838be70e8ca3bed79e5a7fdec1e234dee45743ae0c57b2fc19","observation_id":"aac4b763-46ce-415f-be9d-304b1fb5f2e5","resolution":{"observed_at":"2026-08-03T21:08:18.302714Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:08.954208Z","title":"Parish, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:08.954208Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:4bf08e75a52b3de545d308fe107908dce1f8f559dc380c4bd86187b489bfdaa3","observation_id":"4b65e25b-d994-4e11-8e88-2b52effbc550","resolution":{"observed_at":"2026-08-03T21:07:08.954208Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.014401Z","title":"Embedded symmetric positive semi-definite machine-learned elements for reduced-order modeling in finite-element simulations with application to threaded fasteners","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.014401Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:2aa885afc3b812838139bf87edbc102e8ba0e9873c6b45e37cd65f3d5e1b3426","observation_id":"5ffa760d-935a-4d7f-9a0c-2aaf66d90476","resolution":{"observed_at":"2026-08-03T21:07:09.014401Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.120313Z","title":"Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.120313Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:7241c8e6d74b1128def6f45370c9d56b4eff054559e18cae1c1c0fcc9dfdfa38","observation_id":"ffe00bdc-77c1-470c-a2ab-7de0ff3746e0","resolution":{"observed_at":"2026-08-03T21:07:09.120313Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.195339Z","title":"Data-driven operator inference for nonintrusive projection-based model reduction","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.195339Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:737a94e3542cf15b08681abcfbcb3e7e88ad4ae08403d56e43ac282fb3153828","observation_id":"f049ce1d-9ba1-4513-bdf5-b75ba6062a9e","resolution":{"observed_at":"2026-08-03T21:07:09.195339Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/21m1393972","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Reduced Operator Inference for Nonlinear Partial Differential Equations","venue":"SIAM Journal on Scientific Computing","work_id":"389f6377-4a0d-48b0-a818-c5cfb20c725e","year":2022},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.283762Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:80478e41948752ff2105800d7176011f8c873e37eeb17da99e11491810323806","observation_id":"b16dc37f-66f9-4745-9f7b-866a1b1f6f82","resolution":{"observed_at":"2026-08-03T21:08:17.976161Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.330042Z","title":"Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.330042Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:ffe8564e82efb667ec52fb2fe3b4f88e4673f432a815135097bd171bafea644e","observation_id":"3fbb3a15-8991-4ab5-9abf-d67dcfa97d9e","resolution":{"observed_at":"2026-08-03T21:07:09.330042Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.355844Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.355844Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:0fcba963c28e9502eab4da7cbef4f7a4e1ea885c1ac397f07bb0656b6bc497d0","observation_id":"d2e6ffff-5d58-4f07-92c3-19cdcc91f618","resolution":{"observed_at":"2026-08-03T21:07:09.355844Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.401036Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.401036Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:9c1701fa9864b4135c86b830e5bd7d5e95d329b5758fa2ce506aa826efdace30","observation_id":"7d7d5be7-1866-4aa3-a52a-2d8925c7652d","resolution":{"observed_at":"2026-08-03T21:07:09.401036Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.443838Z","title":"Z¨ urcher u","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.443838Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:d6fc440ff5e7018b58b0f6ef5f0afefad0cd68a5e730ff7da519f6fe92febbc0","observation_id":"9b855a6c-ece1-4e22-8f1b-d4377829145a","resolution":{"observed_at":"2026-08-03T21:07:09.443838Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.489989Z","title":"Turbulence and the dynamics of coherent structures, part III: dynamics and scaling","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.489989Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:565a3ec34a07ac67a8d772bf537c5d549efc82ee3008354e1d14f1c7182be1ae","observation_id":"92dc9d0b-3aed-465a-b2b6-993d48e998fe","resolution":{"observed_at":"2026-08-03T21:07:09.489989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.00224","last_updated":"2023-11-01T01:59:28Z","snapshot_observed_at":"2026-07-06T16:41:27.099792Z","submitted_at":"2023-11-01T01:59:28Z","title":"Domain decomposition-based coupling of physics-informed neural networks via the Schwarz alternating method","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.00224","snapshot_observed_at":"2026-08-03T21:07:09.533039Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.533039Z"},"links":{"cited_paper":"/paper/2311.00224","citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:1448576b5c93cace4a43a08d9f237b8347f25b1079df4d19b879c08df8031576","observation_id":"183c92bf-f4d9-47fc-8ebf-881d833a0670","resolution":{"observed_at":"2026-08-03T21:07:09.533039Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.605417Z","title":"Anderson Acceleration for Fixed-Point Iterations","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.605417Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:130d97a32d4e9c43dc4a92b4536bc2a933667f315fd3c09dc6f6c99229ab0088","observation_id":"81a5049a-1949-4ce2-ad27-13f640c9c433","resolution":{"observed_at":"2026-08-03T21:07:09.605417Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.663603Z","title":"Mosaic flows: A transferable deep learning framework for solving PDEs on unseen domains","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.663603Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:9d7e8e2e4b49590d433b4f9d447884602874a7b2055ad285bf940013c6b69e9f","observation_id":"2a5d10dd-8eb7-4e3d-a5cf-77ef981766b1","resolution":{"observed_at":"2026-08-03T21:07:09.663603Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.731170Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.731170Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:54b22e68a479d657eabf585d5f3a610ae1fe58d67085c3cbaebbe07dd52bf17d","observation_id":"3f6a9bec-3b23-4d75-8cac-c35d0668caf1","resolution":{"observed_at":"2026-08-03T21:07:09.731170Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.04668","last_updated":"2024-10-07T00:44:22Z","snapshot_observed_at":"2026-07-06T19:28:43.743447Z","submitted_at":"2024-10-07T00:44:22Z","title":"The role of interface boundary conditions and sampling strategies for Schwarz-based coupling of projection-based reduced order models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.04668","snapshot_observed_at":"2026-08-03T21:07:09.816652Z","title":"Wentland et al.The role of interface boundary conditions and sampling strategies for Schwarz-based coupling of projection-based reduced order models","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.816652Z"},"links":{"cited_paper":"/paper/2410.04668","citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:772a1d2c717677c66957c9fc84c7df78a1287f06dcb0fe29e7b96e6cf22b1151","observation_id":"e9d32d22-40fd-4aae-9d50-0399ba796e41","resolution":{"observed_at":"2026-08-03T21:07:09.816652Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:09.882332Z","title":"GPTune: A Framework for Automated Hyperparameter Tuning of Machine Learning Models","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.882332Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:992cd2db982d27e40f3ad5072e61cf88b51c35e6cd31cff9d51efbbb61607526","observation_id":"e92c9590-2e0d-4f74-8849-577947b83f41","resolution":{"observed_at":"2026-08-03T21:07:09.882332Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T21:07:06.361108Z","title":"2006, pp","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":2004,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:06.361108Z"},"links":{"citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:9765647f323af705357b324bf2be70c7391db5051762c2f716283a7c947b9848","observation_id":"2a2935d1-41cc-483f-ad4f-db275c415d3e","resolution":{"observed_at":"2026-08-03T21:07:06.361108Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.11383","last_updated":"2025-08-11T04:55:12Z","snapshot_observed_at":"2026-08-07T16:02:07.064744Z","submitted_at":"2025-04-15T16:54:04Z","title":"Time Marching Neural Operator FE Coupling: AI Accelerated Physics Modeling","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.11383","snapshot_observed_at":"2026-08-03T21:07:09.753972Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method","version":4},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-03T21:07:09.753972Z"},"links":{"cited_paper":"/paper/2504.11383","citing_paper":"/paper/2511.20687"},"observation_digest":"sha256:9bb2ecb989f1db99e650896274f60b384f14598c2a4904e48bf9b7250f68a4d1","observation_id":"9ae41985-84b6-4cc6-8629-5afa4874e0f3","resolution":{"observed_at":"2026-08-03T21:07:09.753972Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2511.20687","last_updated":"2026-07-16T19:22:42Z","latest_version":4,"primary_category":"math.NA","snapshot_observed_at":"2026-08-07T18:18:08.286295Z","submitted_at":"2025-11-20T23:30:23Z","title":"Hybrid coupling with operator inference and the overlapping Schwarz alternating method"},"reference_resolution":{"displayed":58,"state_counts":{"malformed_identifier":3,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":48,"verified_exact":7,"verified_fuzzy":0},"total_outbound_references":58},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2511.20687."}