{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AL4U6YZRT53UEKB2436Y7FV7UF","short_pith_number":"pith:AL4U6YZR","schema_version":"1.0","canonical_sha256":"02f94f63319f7742283ae6fd8f96bfa17577ceae27f3a7de6cff77e8f4af6f78","source":{"kind":"arxiv","id":"1710.03452","version":1},"attestation_state":"computed","paper":{"title":"Quasi-optimal nonconforming methods for symmetric elliptic problems. III -- DG and other interior penalty methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andreas Veeser, Pietro Zanotti","submitted_at":"2017-10-10T08:48:21Z","abstract_excerpt":"We devise new variants of the following nonconforming finite element methods: DG methods of fixed arbitrary order for the Poisson problem, the Crouzeix-Raviart interior penalty method for linear elasticity, and the quadratic $C^0$ interior penalty method for the biharmonic problem. Each variant differs from the original method only in the discretization of the right-hand side. Before applying the load functional, a linear operator transforms nonconforming discrete test functions into conforming functions such that stability and consistency are improved. The new variants are thus quasi-optimal "},"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":"1710.03452","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-10T08:48:21Z","cross_cats_sorted":[],"title_canon_sha256":"3a20f2ddcbe9648fe93a521a80b7774879c35af2f2f1a82e4ddb376cc31b9843","abstract_canon_sha256":"23789e5c6387186242b8af3b0d9ac6737b0c26438bea745c83c94d8764a60b71"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:11.895797Z","signature_b64":"7oW/Kb4R61CTCzIweXVNDochI+GE96gXn6zfB4Afu5V8ZldSbttMdECl/XmY4U2vCxGFSicwbxUMwo58cHJXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02f94f63319f7742283ae6fd8f96bfa17577ceae27f3a7de6cff77e8f4af6f78","last_reissued_at":"2026-05-18T00:33:11.894947Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:11.894947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-optimal nonconforming methods for symmetric elliptic problems. III -- DG and other interior penalty methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andreas Veeser, Pietro Zanotti","submitted_at":"2017-10-10T08:48:21Z","abstract_excerpt":"We devise new variants of the following nonconforming finite element methods: DG methods of fixed arbitrary order for the Poisson problem, the Crouzeix-Raviart interior penalty method for linear elasticity, and the quadratic $C^0$ interior penalty method for the biharmonic problem. Each variant differs from the original method only in the discretization of the right-hand side. Before applying the load functional, a linear operator transforms nonconforming discrete test functions into conforming functions such that stability and consistency are improved. The new variants are thus quasi-optimal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.03452","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":"1710.03452","created_at":"2026-05-18T00:33:11.895090+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.03452v1","created_at":"2026-05-18T00:33:11.895090+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.03452","created_at":"2026-05-18T00:33:11.895090+00:00"},{"alias_kind":"pith_short_12","alias_value":"AL4U6YZRT53U","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"AL4U6YZRT53UEKB2","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"AL4U6YZR","created_at":"2026-05-18T12:31:05.417338+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/AL4U6YZRT53UEKB2436Y7FV7UF","json":"https://pith.science/pith/AL4U6YZRT53UEKB2436Y7FV7UF.json","graph_json":"https://pith.science/api/pith-number/AL4U6YZRT53UEKB2436Y7FV7UF/graph.json","events_json":"https://pith.science/api/pith-number/AL4U6YZRT53UEKB2436Y7FV7UF/events.json","paper":"https://pith.science/paper/AL4U6YZR"},"agent_actions":{"view_html":"https://pith.science/pith/AL4U6YZRT53UEKB2436Y7FV7UF","download_json":"https://pith.science/pith/AL4U6YZRT53UEKB2436Y7FV7UF.json","view_paper":"https://pith.science/paper/AL4U6YZR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.03452&json=true","fetch_graph":"https://pith.science/api/pith-number/AL4U6YZRT53UEKB2436Y7FV7UF/graph.json","fetch_events":"https://pith.science/api/pith-number/AL4U6YZRT53UEKB2436Y7FV7UF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AL4U6YZRT53UEKB2436Y7FV7UF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AL4U6YZRT53UEKB2436Y7FV7UF/action/storage_attestation","attest_author":"https://pith.science/pith/AL4U6YZRT53UEKB2436Y7FV7UF/action/author_attestation","sign_citation":"https://pith.science/pith/AL4U6YZRT53UEKB2436Y7FV7UF/action/citation_signature","submit_replication":"https://pith.science/pith/AL4U6YZRT53UEKB2436Y7FV7UF/action/replication_record"}},"created_at":"2026-05-18T00:33:11.895090+00:00","updated_at":"2026-05-18T00:33:11.895090+00:00"}