{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:CPP2ZKOM4PHG5IFV7W7I5SRZSV","short_pith_number":"pith:CPP2ZKOM","schema_version":"1.0","canonical_sha256":"13dfaca9cce3ce6ea0b5fdbe8eca399552e914aede8fee1497a8dfa3126f8a0b","source":{"kind":"arxiv","id":"1112.2160","version":1},"attestation_state":"computed","paper":{"title":"On the role of enrichment and statical admissibility of recovered fields in a-posteriori error estimation for enriched finite element methods","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"physics.comp-ph","authors_text":"Eugenio Giner, Juan Jos\\'e R\\'odenas, Marc Duflot, Octavio A. Gonz\\'alez-Estrada, Pierre Kerfriden, St\\'ephane P.A. Bordas","submitted_at":"2011-12-09T17:41:45Z","abstract_excerpt":"Purpose: This paper aims at assessing the effect of (1) the statical admissibility of the recovered solution; (2) the ability of the recovered solution to represent the singular solution; on the accuracy, local and global effectivity of recovery-based error estimators for enriched finite element methods (e.g. the extended finite element method, XFEM). Design/methodology/approach: We study the performance of two recovery techniques. The first is a recently developed superconvergent patch recovery procedure with equilibration and enrichment (SPR-CX). The second is known as the extended moving le"},"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":"1112.2160","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-12-09T17:41:45Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"98442687bc98713736a01e3f24dbdec45214b76235077130afea687cfe9f40c4","abstract_canon_sha256":"cdc3b24a523b3d7e6d9a1db860ff1c3bfb6d2f79519e0a7e097153ee7bdd1156"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:43.967613Z","signature_b64":"QLWSC60THRRE9qbFAAJVz5fqYue6xz0Hfff62lOiDUTgb10SNF+AY6KdR9dx6OElKYsFD3gmsaAghz86Vqj8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13dfaca9cce3ce6ea0b5fdbe8eca399552e914aede8fee1497a8dfa3126f8a0b","last_reissued_at":"2026-05-18T04:06:43.967127Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:43.967127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the role of enrichment and statical admissibility of recovered fields in a-posteriori error estimation for enriched finite element methods","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"physics.comp-ph","authors_text":"Eugenio Giner, Juan Jos\\'e R\\'odenas, Marc Duflot, Octavio A. Gonz\\'alez-Estrada, Pierre Kerfriden, St\\'ephane P.A. Bordas","submitted_at":"2011-12-09T17:41:45Z","abstract_excerpt":"Purpose: This paper aims at assessing the effect of (1) the statical admissibility of the recovered solution; (2) the ability of the recovered solution to represent the singular solution; on the accuracy, local and global effectivity of recovery-based error estimators for enriched finite element methods (e.g. the extended finite element method, XFEM). Design/methodology/approach: We study the performance of two recovery techniques. The first is a recently developed superconvergent patch recovery procedure with equilibration and enrichment (SPR-CX). The second is known as the extended moving le"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2160","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":"1112.2160","created_at":"2026-05-18T04:06:43.967195+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.2160v1","created_at":"2026-05-18T04:06:43.967195+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2160","created_at":"2026-05-18T04:06:43.967195+00:00"},{"alias_kind":"pith_short_12","alias_value":"CPP2ZKOM4PHG","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"CPP2ZKOM4PHG5IFV","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"CPP2ZKOM","created_at":"2026-05-18T12:26:26.731475+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/CPP2ZKOM4PHG5IFV7W7I5SRZSV","json":"https://pith.science/pith/CPP2ZKOM4PHG5IFV7W7I5SRZSV.json","graph_json":"https://pith.science/api/pith-number/CPP2ZKOM4PHG5IFV7W7I5SRZSV/graph.json","events_json":"https://pith.science/api/pith-number/CPP2ZKOM4PHG5IFV7W7I5SRZSV/events.json","paper":"https://pith.science/paper/CPP2ZKOM"},"agent_actions":{"view_html":"https://pith.science/pith/CPP2ZKOM4PHG5IFV7W7I5SRZSV","download_json":"https://pith.science/pith/CPP2ZKOM4PHG5IFV7W7I5SRZSV.json","view_paper":"https://pith.science/paper/CPP2ZKOM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.2160&json=true","fetch_graph":"https://pith.science/api/pith-number/CPP2ZKOM4PHG5IFV7W7I5SRZSV/graph.json","fetch_events":"https://pith.science/api/pith-number/CPP2ZKOM4PHG5IFV7W7I5SRZSV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CPP2ZKOM4PHG5IFV7W7I5SRZSV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CPP2ZKOM4PHG5IFV7W7I5SRZSV/action/storage_attestation","attest_author":"https://pith.science/pith/CPP2ZKOM4PHG5IFV7W7I5SRZSV/action/author_attestation","sign_citation":"https://pith.science/pith/CPP2ZKOM4PHG5IFV7W7I5SRZSV/action/citation_signature","submit_replication":"https://pith.science/pith/CPP2ZKOM4PHG5IFV7W7I5SRZSV/action/replication_record"}},"created_at":"2026-05-18T04:06:43.967195+00:00","updated_at":"2026-05-18T04:06:43.967195+00:00"}