{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:GOZLEJIC2ZRLLKOZJF3UOXMZMM","short_pith_number":"pith:GOZLEJIC","schema_version":"1.0","canonical_sha256":"33b2b22502d662b5a9d94977475d9963380c7ae302b76cf922566fc20b3e9814","source":{"kind":"arxiv","id":"1707.07058","version":1},"attestation_state":"computed","paper":{"title":"A Space-Time Cut Finite Element Method with quadrature in time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Sara Zahedi","submitted_at":"2017-07-21T22:26:39Z","abstract_excerpt":"We consider convection-diffusion problems in time-dependent domains and present a space-time finite element method based on quadrature in time which is simple to implement and avoids remeshing procedures as the domain is moving. The evolving domain is embedded in a domain with fixed mesh and a cut finite element method with continuous elements in space and discontinuous elements in time is proposed. The method allows the evolving geometry to cut through the fixed background mesh arbitrarily and thus avoids remeshing procedures. However, the arbitrary cuts may lead to ill-conditioned algebraic "},"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":"1707.07058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-07-21T22:26:39Z","cross_cats_sorted":[],"title_canon_sha256":"4fd7e4afd8f537ac1b0d3f74b19f6a0adbd950f7961e52fad8b2e0ba48c3a20b","abstract_canon_sha256":"73676e580672b5e2848106695cc99feba4aa348c9b78bec5f9fa57dbcdb2b3c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:45.481719Z","signature_b64":"cdrRpUHbNbh5FIku7ALNsXQlV69LcGo2FMCKtNwSe46rc3gOTgmvfM8ZEsV5DQl1QlWx3vP0mukAt2wvadBYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33b2b22502d662b5a9d94977475d9963380c7ae302b76cf922566fc20b3e9814","last_reissued_at":"2026-05-18T00:39:45.481025Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:45.481025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Space-Time Cut Finite Element Method with quadrature in time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Sara Zahedi","submitted_at":"2017-07-21T22:26:39Z","abstract_excerpt":"We consider convection-diffusion problems in time-dependent domains and present a space-time finite element method based on quadrature in time which is simple to implement and avoids remeshing procedures as the domain is moving. The evolving domain is embedded in a domain with fixed mesh and a cut finite element method with continuous elements in space and discontinuous elements in time is proposed. The method allows the evolving geometry to cut through the fixed background mesh arbitrarily and thus avoids remeshing procedures. However, the arbitrary cuts may lead to ill-conditioned algebraic "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07058","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":"1707.07058","created_at":"2026-05-18T00:39:45.481141+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.07058v1","created_at":"2026-05-18T00:39:45.481141+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07058","created_at":"2026-05-18T00:39:45.481141+00:00"},{"alias_kind":"pith_short_12","alias_value":"GOZLEJIC2ZRL","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"GOZLEJIC2ZRLLKOZ","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"GOZLEJIC","created_at":"2026-05-18T12:31:18.294218+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/GOZLEJIC2ZRLLKOZJF3UOXMZMM","json":"https://pith.science/pith/GOZLEJIC2ZRLLKOZJF3UOXMZMM.json","graph_json":"https://pith.science/api/pith-number/GOZLEJIC2ZRLLKOZJF3UOXMZMM/graph.json","events_json":"https://pith.science/api/pith-number/GOZLEJIC2ZRLLKOZJF3UOXMZMM/events.json","paper":"https://pith.science/paper/GOZLEJIC"},"agent_actions":{"view_html":"https://pith.science/pith/GOZLEJIC2ZRLLKOZJF3UOXMZMM","download_json":"https://pith.science/pith/GOZLEJIC2ZRLLKOZJF3UOXMZMM.json","view_paper":"https://pith.science/paper/GOZLEJIC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.07058&json=true","fetch_graph":"https://pith.science/api/pith-number/GOZLEJIC2ZRLLKOZJF3UOXMZMM/graph.json","fetch_events":"https://pith.science/api/pith-number/GOZLEJIC2ZRLLKOZJF3UOXMZMM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GOZLEJIC2ZRLLKOZJF3UOXMZMM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GOZLEJIC2ZRLLKOZJF3UOXMZMM/action/storage_attestation","attest_author":"https://pith.science/pith/GOZLEJIC2ZRLLKOZJF3UOXMZMM/action/author_attestation","sign_citation":"https://pith.science/pith/GOZLEJIC2ZRLLKOZJF3UOXMZMM/action/citation_signature","submit_replication":"https://pith.science/pith/GOZLEJIC2ZRLLKOZJF3UOXMZMM/action/replication_record"}},"created_at":"2026-05-18T00:39:45.481141+00:00","updated_at":"2026-05-18T00:39:45.481141+00:00"}