{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:APOU26RHCZASIX6XBZPXJDPG5B","short_pith_number":"pith:APOU26RH","schema_version":"1.0","canonical_sha256":"03dd4d7a271641245fd70e5f748de6e8579112d24e1534a35e1712d0ecae46b1","source":{"kind":"arxiv","id":"1708.07815","version":1},"attestation_state":"computed","paper":{"title":"A Priori and A Posteriori Error Control of Discontinuous Galerkin Finite Element Methods for the Von K\\'arm\\'an Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Carsten Carstensen, Gouranga Mallik, Neela Nataraj","submitted_at":"2017-08-25T17:24:05Z","abstract_excerpt":"This paper analyses discontinuous Galerkin finite element methods (DGFEM) to approximate a regular solution to the von K\\'arm\\'an equations defined on a polygonal domain. A discrete inf-sup condition sufficient for the stability of the discontinuous Galerkin discretization of a well-posed linear problem is established and this allows the proof of local existence and uniqueness of a discrete solution to the non-linear problem with a Banach fixed point theorem. The Newton scheme is locally second-order convergent and appears to be a robust solution strategy up to machine precision. A comprehensi"},"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":"1708.07815","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-08-25T17:24:05Z","cross_cats_sorted":[],"title_canon_sha256":"6e3969474b6075d75123d2dfb70ee5ef72279c1edcf1123603429f71570e7746","abstract_canon_sha256":"4981c5fc817455d48968430a96464286f29a76c8c9abcf605c18ca163c5a13a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:41.947341Z","signature_b64":"KalBED9wNZ7yOUVMaa7Rt6hDkR3oT2Y/muw4to02uxqdqir9tEcIeudAicK6VxZpWBSR+dIgIkphtlrHTwmvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03dd4d7a271641245fd70e5f748de6e8579112d24e1534a35e1712d0ecae46b1","last_reissued_at":"2026-05-18T00:36:41.946640Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:41.946640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Priori and A Posteriori Error Control of Discontinuous Galerkin Finite Element Methods for the Von K\\'arm\\'an Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Carsten Carstensen, Gouranga Mallik, Neela Nataraj","submitted_at":"2017-08-25T17:24:05Z","abstract_excerpt":"This paper analyses discontinuous Galerkin finite element methods (DGFEM) to approximate a regular solution to the von K\\'arm\\'an equations defined on a polygonal domain. A discrete inf-sup condition sufficient for the stability of the discontinuous Galerkin discretization of a well-posed linear problem is established and this allows the proof of local existence and uniqueness of a discrete solution to the non-linear problem with a Banach fixed point theorem. The Newton scheme is locally second-order convergent and appears to be a robust solution strategy up to machine precision. A comprehensi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07815","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":"1708.07815","created_at":"2026-05-18T00:36:41.946753+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.07815v1","created_at":"2026-05-18T00:36:41.946753+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07815","created_at":"2026-05-18T00:36:41.946753+00:00"},{"alias_kind":"pith_short_12","alias_value":"APOU26RHCZAS","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"APOU26RHCZASIX6X","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"APOU26RH","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/APOU26RHCZASIX6XBZPXJDPG5B","json":"https://pith.science/pith/APOU26RHCZASIX6XBZPXJDPG5B.json","graph_json":"https://pith.science/api/pith-number/APOU26RHCZASIX6XBZPXJDPG5B/graph.json","events_json":"https://pith.science/api/pith-number/APOU26RHCZASIX6XBZPXJDPG5B/events.json","paper":"https://pith.science/paper/APOU26RH"},"agent_actions":{"view_html":"https://pith.science/pith/APOU26RHCZASIX6XBZPXJDPG5B","download_json":"https://pith.science/pith/APOU26RHCZASIX6XBZPXJDPG5B.json","view_paper":"https://pith.science/paper/APOU26RH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.07815&json=true","fetch_graph":"https://pith.science/api/pith-number/APOU26RHCZASIX6XBZPXJDPG5B/graph.json","fetch_events":"https://pith.science/api/pith-number/APOU26RHCZASIX6XBZPXJDPG5B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/APOU26RHCZASIX6XBZPXJDPG5B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/APOU26RHCZASIX6XBZPXJDPG5B/action/storage_attestation","attest_author":"https://pith.science/pith/APOU26RHCZASIX6XBZPXJDPG5B/action/author_attestation","sign_citation":"https://pith.science/pith/APOU26RHCZASIX6XBZPXJDPG5B/action/citation_signature","submit_replication":"https://pith.science/pith/APOU26RHCZASIX6XBZPXJDPG5B/action/replication_record"}},"created_at":"2026-05-18T00:36:41.946753+00:00","updated_at":"2026-05-18T00:36:41.946753+00:00"}