{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2THTO3PVMDRZDFAFPPPV67YRCE","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":"39f197f2cc321f578ea2621ebdde102b3717118a678540d33f74f33949770341","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-13T18:53:08Z","title_canon_sha256":"005bd3cf5a65e8e682462fa202b3a115992f760875637a020835b01bc68ef5cb"},"schema_version":"1.0","source":{"id":"1802.05137","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.05137","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"1802.05137v2","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05137","created_at":"2026-05-18T00:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"2THTO3PVMDRZ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2THTO3PVMDRZDFAF","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2THTO3PV","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:7ff8987860879bb5c0427a70c0d44c68d510a4af4e574091addbceb26063de0a","target":"graph","created_at":"2026-05-18T00:04:49Z","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":"A space-time domain decomposition approach is presented as a natural extension of the enhanced velocity mixed finite element (EVMFE) [Wheeler et. al] for spatial domain decomposition. The proposed approach allows for different space-time discretizations on non-overlapping, subdomains by enforcing a mass continuity argument at the non-matching interface to preserve the local mass conservation property inherent to the mixed finite element methods. To this effect, we consider three different model formulations: (1) a linear single phase flow problem, (2) a non-linear slightly compressible flow an","authors_text":"Gurpreet Singh, Mary F. Wheeler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-13T18:53:08Z","title":"A Space Time Domain Decomposition Approach using Enhanced Velocity Mixed Finite Element Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05137","kind":"arxiv","version":2},"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":"sha256:06105bf5081d78bb108a93560b2631b0de19d4055b110e9d2c27b42301f6606d","target":"record","created_at":"2026-05-18T00:04:49Z","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":"39f197f2cc321f578ea2621ebdde102b3717118a678540d33f74f33949770341","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-13T18:53:08Z","title_canon_sha256":"005bd3cf5a65e8e682462fa202b3a115992f760875637a020835b01bc68ef5cb"},"schema_version":"1.0","source":{"id":"1802.05137","kind":"arxiv","version":2}},"canonical_sha256":"d4cf376df560e39194057bdf5f7f111124b4d2b5ad00df9403498181495595ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4cf376df560e39194057bdf5f7f111124b4d2b5ad00df9403498181495595ec","first_computed_at":"2026-05-18T00:04:49.778927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:49.778927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TqO+Idu6Re7Aj8KlNFy6uSwOV+VfqCVnUvKrqufSvKM77m9wiYBGVIzUjRmidMmBJAV0koWR9NiEAD2Y4P46AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:49.779615Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.05137","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06105bf5081d78bb108a93560b2631b0de19d4055b110e9d2c27b42301f6606d","sha256:7ff8987860879bb5c0427a70c0d44c68d510a4af4e574091addbceb26063de0a"],"state_sha256":"617569ef6570c2a0dff52297d00b0c29ae6b17973b23f22f51ab14a55ad379d6"}