{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VGKSFU6FSOSIAZG24SVYVTMTRC","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":"345683f70eaaf4f1f50a4148caeedf5c3e85e58831c24a9d7f5ddc7a5d93e972","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-03T19:58:16Z","title_canon_sha256":"f540058a0a4476a997993773269b5ab5136471f7e023655146c7795301a5d69a"},"schema_version":"1.0","source":{"id":"1903.00975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.00975","created_at":"2026-05-17T23:52:12Z"},{"alias_kind":"arxiv_version","alias_value":"1903.00975v1","created_at":"2026-05-17T23:52:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00975","created_at":"2026-05-17T23:52:12Z"},{"alias_kind":"pith_short_12","alias_value":"VGKSFU6FSOSI","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VGKSFU6FSOSIAZG2","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VGKSFU6F","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:35f936e78fd759f0fa7b9c04007480d2ee1d0c007c2ccbc2c0fe27b9b90fc83d","target":"graph","created_at":"2026-05-17T23:52:12Z","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":"In this article, a finite element Galerkin method is applied to the Kelvin-Voigt viscoelastic fluid model, when its forcing function is in $L^{\\infty}(\\bL^2)$. Some new {\\it a priori} bounds for the velocity as well as for the pressure are derived which are independent of inverse powers of the retardation time $\\kappa$. Optimal error estimates for the velocity in $L^{\\infty} (\\bL^2)$ as well as in $L^{\\infty}(\\bH^1_0)$-norms and for the pressure in $L^{\\infty}(L^2)$-norm of the semidiscrete method are discussed which hold uniformly with respect to $\\kappa$ as $\\kappa\\rightarrow 0$ with the ini","authors_text":"Ambit K. Pany, Saumya Bajpai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-03T19:58:16Z","title":"A priori error estimates of fully discrete finite element Galerkin method for Kelvin-Voigt viscoelastic fluid flow model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00975","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:d946243a0ef9df850ff86dfca53c3672fd5b2104664079655df765ddf61e6a0a","target":"record","created_at":"2026-05-17T23:52:12Z","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":"345683f70eaaf4f1f50a4148caeedf5c3e85e58831c24a9d7f5ddc7a5d93e972","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-03T19:58:16Z","title_canon_sha256":"f540058a0a4476a997993773269b5ab5136471f7e023655146c7795301a5d69a"},"schema_version":"1.0","source":{"id":"1903.00975","kind":"arxiv","version":1}},"canonical_sha256":"a99522d3c593a48064dae4ab8acd938892f4c11f8619b9a6af41f22ede233839","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a99522d3c593a48064dae4ab8acd938892f4c11f8619b9a6af41f22ede233839","first_computed_at":"2026-05-17T23:52:12.636037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:12.636037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mhoVOvvzYSnOBr9uH8dij+UKecONXk/IA+gwoYm4o/Iy/g7DshsegWMtJQNdwI1PKDFNw/XKG3P85wSkd0LeDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:12.636704Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.00975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d946243a0ef9df850ff86dfca53c3672fd5b2104664079655df765ddf61e6a0a","sha256:35f936e78fd759f0fa7b9c04007480d2ee1d0c007c2ccbc2c0fe27b9b90fc83d"],"state_sha256":"19198533b11f9f30ae3b38ee05cbaf33b01a8e4e17454cd53fda8af70145a5e3"}