{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:5NVJLDZFTCIZVOHSPLQT7K75EX","short_pith_number":"pith:5NVJLDZF","schema_version":"1.0","canonical_sha256":"eb6a958f2598919ab8f27ae13fabfd25e4f6a3e314f77bb94322bd8212a331f4","source":{"kind":"arxiv","id":"1904.10027","version":1},"attestation_state":"computed","paper":{"title":"A theoretical and experimental investigation of a family of immersed finite element methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.NA","authors_text":"Mark A. Walkley, Peter K. Jimack, Yongxing Wang","submitted_at":"2019-04-22T18:51:20Z","abstract_excerpt":"In this article we consider the widely used immersed finite element method (IFEM), in both explicit and implicit form, and its relationship to our more recent one-field fictitious domain method (FDM). We review and extend the formulation of these methods, based upon an operator splitting scheme, in order to demonstrate that both the explicit IFEM and the one-field FDM can be regarded as particular linearizations of the fully implicit IFEM. However, the one-field FDM can be shown to be more robust than the explicit IFEM and can simulate a wider range of solid parameters with a relatively large "},"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":"1904.10027","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-22T18:51:20Z","cross_cats_sorted":["cs.NA","math.AP"],"title_canon_sha256":"e022a67fbf9ab5ead660449f6475e9c4c020c5dbe77c88ed82b262568a83816a","abstract_canon_sha256":"9215b3da8a2bd05345c03302ff6ee98405cc2491365210f7b70de9a7a13beb9b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T20:14:26.760417Z","signature_b64":"e99OOnN+xD6furG/uZhLl3cI18Wq1a32F7l4ASQabTIBgZrwS/d0iY88c3IgDBd30neLgfnewRtmKfnyk5d+Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb6a958f2598919ab8f27ae13fabfd25e4f6a3e314f77bb94322bd8212a331f4","last_reissued_at":"2026-06-04T20:14:26.759953Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T20:14:26.759953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A theoretical and experimental investigation of a family of immersed finite element methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.NA","authors_text":"Mark A. Walkley, Peter K. Jimack, Yongxing Wang","submitted_at":"2019-04-22T18:51:20Z","abstract_excerpt":"In this article we consider the widely used immersed finite element method (IFEM), in both explicit and implicit form, and its relationship to our more recent one-field fictitious domain method (FDM). We review and extend the formulation of these methods, based upon an operator splitting scheme, in order to demonstrate that both the explicit IFEM and the one-field FDM can be regarded as particular linearizations of the fully implicit IFEM. However, the one-field FDM can be shown to be more robust than the explicit IFEM and can simulate a wider range of solid parameters with a relatively large "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.10027","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1904.10027/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1904.10027","created_at":"2026-06-04T20:14:26.760015+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.10027v1","created_at":"2026-06-04T20:14:26.760015+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.10027","created_at":"2026-06-04T20:14:26.760015+00:00"},{"alias_kind":"pith_short_12","alias_value":"5NVJLDZFTCIZ","created_at":"2026-06-04T20:14:26.760015+00:00"},{"alias_kind":"pith_short_16","alias_value":"5NVJLDZFTCIZVOHS","created_at":"2026-06-04T20:14:26.760015+00:00"},{"alias_kind":"pith_short_8","alias_value":"5NVJLDZF","created_at":"2026-06-04T20:14:26.760015+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/5NVJLDZFTCIZVOHSPLQT7K75EX","json":"https://pith.science/pith/5NVJLDZFTCIZVOHSPLQT7K75EX.json","graph_json":"https://pith.science/api/pith-number/5NVJLDZFTCIZVOHSPLQT7K75EX/graph.json","events_json":"https://pith.science/api/pith-number/5NVJLDZFTCIZVOHSPLQT7K75EX/events.json","paper":"https://pith.science/paper/5NVJLDZF"},"agent_actions":{"view_html":"https://pith.science/pith/5NVJLDZFTCIZVOHSPLQT7K75EX","download_json":"https://pith.science/pith/5NVJLDZFTCIZVOHSPLQT7K75EX.json","view_paper":"https://pith.science/paper/5NVJLDZF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.10027&json=true","fetch_graph":"https://pith.science/api/pith-number/5NVJLDZFTCIZVOHSPLQT7K75EX/graph.json","fetch_events":"https://pith.science/api/pith-number/5NVJLDZFTCIZVOHSPLQT7K75EX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5NVJLDZFTCIZVOHSPLQT7K75EX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5NVJLDZFTCIZVOHSPLQT7K75EX/action/storage_attestation","attest_author":"https://pith.science/pith/5NVJLDZFTCIZVOHSPLQT7K75EX/action/author_attestation","sign_citation":"https://pith.science/pith/5NVJLDZFTCIZVOHSPLQT7K75EX/action/citation_signature","submit_replication":"https://pith.science/pith/5NVJLDZFTCIZVOHSPLQT7K75EX/action/replication_record"}},"created_at":"2026-06-04T20:14:26.760015+00:00","updated_at":"2026-06-04T20:14:26.760015+00:00"}