{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:YMRJFGK3TFGOVZI4DERHWRRAGA","short_pith_number":"pith:YMRJFGK3","schema_version":"1.0","canonical_sha256":"c32292995b994ceae51c19227b4620300243e3bf5268fe562957220217fe4c47","source":{"kind":"arxiv","id":"1306.3034","version":1},"attestation_state":"computed","paper":{"title":"A study of Nonlinear Galerkin Finite Element for time-dependent incompressible Navier-Stokes equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Deepjyoti Goswami","submitted_at":"2013-06-13T06:34:17Z","abstract_excerpt":"In this article, we discuss a couple of nonlinear Galerkin methods (NLGM) in finite element set up for time dependent incompressible Navier-Sotkes equations. We show the crucial role played by the non-linear term in determining the rate of convergence of the methods. We have obtained improved error estimate in $\\bL^2$ norm, which is optimal in nature, for linear finite element approximation, in view of the error estimate available in literature, in $\\bH^1$ norm."},"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":"1306.3034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-06-13T06:34:17Z","cross_cats_sorted":[],"title_canon_sha256":"e59f64b3872402d952cf37016ce2b0cbe1fec305dd5f863d5117668c97b67fc9","abstract_canon_sha256":"d760dd518bf88bed172a269f9de562a46d6c4460072df6dda3093cd8434a1f7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:59.785837Z","signature_b64":"6QWitf3hn5JSTvy9jgHfr75cx92cydpo4TGMT80eEgU21UFZ/vZM/rspwMwcjjl8l4F6W1NXhoNX+lmDdlolBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c32292995b994ceae51c19227b4620300243e3bf5268fe562957220217fe4c47","last_reissued_at":"2026-05-18T03:20:59.785294Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:59.785294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A study of Nonlinear Galerkin Finite Element for time-dependent incompressible Navier-Stokes equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Deepjyoti Goswami","submitted_at":"2013-06-13T06:34:17Z","abstract_excerpt":"In this article, we discuss a couple of nonlinear Galerkin methods (NLGM) in finite element set up for time dependent incompressible Navier-Sotkes equations. We show the crucial role played by the non-linear term in determining the rate of convergence of the methods. We have obtained improved error estimate in $\\bL^2$ norm, which is optimal in nature, for linear finite element approximation, in view of the error estimate available in literature, in $\\bH^1$ norm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3034","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":""},"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":"1306.3034","created_at":"2026-05-18T03:20:59.785386+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.3034v1","created_at":"2026-05-18T03:20:59.785386+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3034","created_at":"2026-05-18T03:20:59.785386+00:00"},{"alias_kind":"pith_short_12","alias_value":"YMRJFGK3TFGO","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"YMRJFGK3TFGOVZI4","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"YMRJFGK3","created_at":"2026-05-18T12:28:06.772260+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/YMRJFGK3TFGOVZI4DERHWRRAGA","json":"https://pith.science/pith/YMRJFGK3TFGOVZI4DERHWRRAGA.json","graph_json":"https://pith.science/api/pith-number/YMRJFGK3TFGOVZI4DERHWRRAGA/graph.json","events_json":"https://pith.science/api/pith-number/YMRJFGK3TFGOVZI4DERHWRRAGA/events.json","paper":"https://pith.science/paper/YMRJFGK3"},"agent_actions":{"view_html":"https://pith.science/pith/YMRJFGK3TFGOVZI4DERHWRRAGA","download_json":"https://pith.science/pith/YMRJFGK3TFGOVZI4DERHWRRAGA.json","view_paper":"https://pith.science/paper/YMRJFGK3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.3034&json=true","fetch_graph":"https://pith.science/api/pith-number/YMRJFGK3TFGOVZI4DERHWRRAGA/graph.json","fetch_events":"https://pith.science/api/pith-number/YMRJFGK3TFGOVZI4DERHWRRAGA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YMRJFGK3TFGOVZI4DERHWRRAGA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YMRJFGK3TFGOVZI4DERHWRRAGA/action/storage_attestation","attest_author":"https://pith.science/pith/YMRJFGK3TFGOVZI4DERHWRRAGA/action/author_attestation","sign_citation":"https://pith.science/pith/YMRJFGK3TFGOVZI4DERHWRRAGA/action/citation_signature","submit_replication":"https://pith.science/pith/YMRJFGK3TFGOVZI4DERHWRRAGA/action/replication_record"}},"created_at":"2026-05-18T03:20:59.785386+00:00","updated_at":"2026-05-18T03:20:59.785386+00:00"}