{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:EIOYZEAYUORKKYDXO6MNQ23DHL","short_pith_number":"pith:EIOYZEAY","schema_version":"1.0","canonical_sha256":"221d8c9018a3a2a560777798d86b633af612eac1bb9808111e18479fededd806","source":{"kind":"arxiv","id":"2410.04668","version":1},"attestation_state":"computed","paper":{"title":"The role of interface boundary conditions and sampling strategies for Schwarz-based coupling of projection-based reduced order models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","cs.NA","math-ph","math.MP"],"primary_cat":"math.NA","authors_text":"Christopher R. Wentland, Francesco Rizzi, Irina Tezaur, Joshua Barnett","submitted_at":"2024-10-07T00:44:22Z","abstract_excerpt":"This paper presents and evaluates a framework for the coupling of subdomain-local projection-based reduced order models (PROMs) using the Schwarz alternating method following a domain decomposition (DD) of the spatial domain on which a given problem of interest is posed. In this approach, the solution on the full domain is obtained via an iterative process in which a sequence of subdomain-local problems are solved, with information propagating between subdomains through transmission boundary conditions (BCs). We explore several new directions involving the Schwarz alternating method aimed at m"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2410.04668","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-10-07T00:44:22Z","cross_cats_sorted":["cs.LG","cs.NA","math-ph","math.MP"],"title_canon_sha256":"f039568f012c4f7f72a521e4cd663be1bb35b489be7a897afb3a41deec8b9fea","abstract_canon_sha256":"9f1b40c50dcc761b8e0c278423ffb8d5a70903bc479a43de7ec492252b63d762"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:16:37.650060Z","signature_b64":"lUWiCnG74M33rPz4WRa3brgBoSsBjSiFfH3A+UOFgYu2jtChA53WhzKSGgIB2g0aCyhZIh4EaJ3PsdbzXIWVAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"221d8c9018a3a2a560777798d86b633af612eac1bb9808111e18479fededd806","last_reissued_at":"2026-07-05T09:16:37.649654Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:16:37.649654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The role of interface boundary conditions and sampling strategies for Schwarz-based coupling of projection-based reduced order models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","cs.NA","math-ph","math.MP"],"primary_cat":"math.NA","authors_text":"Christopher R. Wentland, Francesco Rizzi, Irina Tezaur, Joshua Barnett","submitted_at":"2024-10-07T00:44:22Z","abstract_excerpt":"This paper presents and evaluates a framework for the coupling of subdomain-local projection-based reduced order models (PROMs) using the Schwarz alternating method following a domain decomposition (DD) of the spatial domain on which a given problem of interest is posed. In this approach, the solution on the full domain is obtained via an iterative process in which a sequence of subdomain-local problems are solved, with information propagating between subdomains through transmission boundary conditions (BCs). We explore several new directions involving the Schwarz alternating method aimed at m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.04668","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.04668/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2410.04668","created_at":"2026-07-05T09:16:37.649713+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.04668v1","created_at":"2026-07-05T09:16:37.649713+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.04668","created_at":"2026-07-05T09:16:37.649713+00:00"},{"alias_kind":"pith_short_12","alias_value":"EIOYZEAYUORK","created_at":"2026-07-05T09:16:37.649713+00:00"},{"alias_kind":"pith_short_16","alias_value":"EIOYZEAYUORKKYDX","created_at":"2026-07-05T09:16:37.649713+00:00"},{"alias_kind":"pith_short_8","alias_value":"EIOYZEAY","created_at":"2026-07-05T09:16:37.649713+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EIOYZEAYUORKKYDXO6MNQ23DHL","json":"https://pith.science/pith/EIOYZEAYUORKKYDXO6MNQ23DHL.json","graph_json":"https://pith.science/api/pith-number/EIOYZEAYUORKKYDXO6MNQ23DHL/graph.json","events_json":"https://pith.science/api/pith-number/EIOYZEAYUORKKYDXO6MNQ23DHL/events.json","paper":"https://pith.science/paper/EIOYZEAY"},"agent_actions":{"view_html":"https://pith.science/pith/EIOYZEAYUORKKYDXO6MNQ23DHL","download_json":"https://pith.science/pith/EIOYZEAYUORKKYDXO6MNQ23DHL.json","view_paper":"https://pith.science/paper/EIOYZEAY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.04668&json=true","fetch_graph":"https://pith.science/api/pith-number/EIOYZEAYUORKKYDXO6MNQ23DHL/graph.json","fetch_events":"https://pith.science/api/pith-number/EIOYZEAYUORKKYDXO6MNQ23DHL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EIOYZEAYUORKKYDXO6MNQ23DHL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EIOYZEAYUORKKYDXO6MNQ23DHL/action/storage_attestation","attest_author":"https://pith.science/pith/EIOYZEAYUORKKYDXO6MNQ23DHL/action/author_attestation","sign_citation":"https://pith.science/pith/EIOYZEAYUORKKYDXO6MNQ23DHL/action/citation_signature","submit_replication":"https://pith.science/pith/EIOYZEAYUORKKYDXO6MNQ23DHL/action/replication_record"}},"created_at":"2026-07-05T09:16:37.649713+00:00","updated_at":"2026-07-05T09:16:37.649713+00:00"}