{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7ISHHCJIEW26K5FMZP76S664BH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2f0123981d5dd0f3307af98ddcfdea2470a30c9bb1b26936b74ac786ca42c6c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-23T15:23:05Z","title_canon_sha256":"2c87305cccc9322169a2ca080653775234d73dc0acdb87867e29f55cc8118c4d"},"schema_version":"1.0","source":{"id":"1404.5860","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5860","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5860v1","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5860","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"pith_short_12","alias_value":"7ISHHCJIEW26","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7ISHHCJIEW26K5FM","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7ISHHCJI","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:d7bdb119d1dd129a5cd2da907dda49b4fb065a0aebddfa025ab97d9bf7b863e0","target":"graph","created_at":"2026-05-18T02:53:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The FETI-DP algorithms, proposed by the authors in [SIAM J. Numer. Anal., 51 (2013), pp.~1235--1253] and [Internat. J. Numer. Methods Engrg., 94 (2013), pp.~128--149] for solving incompressible Stokes equations, are extended to three-dimensional problems. A new analysis of the condition number bound for using the Dirichlet preconditioner is given. An advantage of this new analysis is that the numerous coarse level velocity components, required in the previous analysis to enforce the divergence free subdomain boundary velocity conditions, are no longer needed. This greatly reduces the size of t","authors_text":"Jing Li, Xuemin Tu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-23T15:23:05Z","title":"A FETI-DP type domain decomposition algorithm for three-dimensional incompressible Stokes equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5860","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c65b801edc8dfa2455b2687d82441cfa9cd04437856ddc3f827347888776cfb7","target":"record","created_at":"2026-05-18T02:53:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2f0123981d5dd0f3307af98ddcfdea2470a30c9bb1b26936b74ac786ca42c6c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-23T15:23:05Z","title_canon_sha256":"2c87305cccc9322169a2ca080653775234d73dc0acdb87867e29f55cc8118c4d"},"schema_version":"1.0","source":{"id":"1404.5860","kind":"arxiv","version":1}},"canonical_sha256":"fa2473892825b5e574accbffe97bdc09e3300de36189c622da5cf57b633f8aac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa2473892825b5e574accbffe97bdc09e3300de36189c622da5cf57b633f8aac","first_computed_at":"2026-05-18T02:53:27.734962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:27.734962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LSqR2LmflU1yNpiWw58Gj5O/FQH/v8GNKXRi6mI3rYnVqKon+GL5ITcjLW2pACHvhoW8GyBwNvRryLy88yjPBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:27.735656Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5860","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c65b801edc8dfa2455b2687d82441cfa9cd04437856ddc3f827347888776cfb7","sha256:d7bdb119d1dd129a5cd2da907dda49b4fb065a0aebddfa025ab97d9bf7b863e0"],"state_sha256":"78415d0a3e8be8ba0847f014bdbf69f398580c69b4398aeef317c07cacd20eb6"}