{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QLMT6OAIHMFY2DDNLAVF5LJJOD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d19328321b0f382ad24df537335f485209f902d4efd33e27f9e1d2ba6202c928","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-05T19:18:56Z","title_canon_sha256":"4be0cb24dc5a53d6f9af29b24dd487065d4d6275cb220d963fa68b1acdfab202"},"schema_version":"1.0","source":{"id":"1410.1195","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1195","created_at":"2026-05-18T02:41:02Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1195v1","created_at":"2026-05-18T02:41:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1195","created_at":"2026-05-18T02:41:02Z"},{"alias_kind":"pith_short_12","alias_value":"QLMT6OAIHMFY","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QLMT6OAIHMFY2DDN","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QLMT6OAI","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:44fd86476c5d6772d1368377266a0ac1ff07826bf4cc43d6fedb2b33b11517e5","target":"graph","created_at":"2026-05-18T02:41:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The aim of this paper is to analyze a mixed discontinuous Galerkin discretization of the time-harmonic elasticity problem. The symmetry of the Cauchy stress tensor is imposed weakly, as in the traditional dual-mixed setting. We show that the discontinuous Galerkin scheme is well-posed and uniformly stable with respect to the mesh parameter $h$ and the Lam\\'e coefficient $\\lambda$. We also derive optimal a-priori error bounds in the energy norm. Several numerical tests are presented in order to illustrate the performance of the method and confirm the theoretical results.","authors_text":"Antonio M\\'arquez, Salim Meddahi, Thanh Tran","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-05T19:18:56Z","title":"A mixed discontinuous Galerkin method for the time harmonic elasticity problem with reduced symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1195","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c0f91054c262d361bd533a4c3941903b54bff31bec40ad873e40203762d9429b","target":"record","created_at":"2026-05-18T02:41:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d19328321b0f382ad24df537335f485209f902d4efd33e27f9e1d2ba6202c928","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-05T19:18:56Z","title_canon_sha256":"4be0cb24dc5a53d6f9af29b24dd487065d4d6275cb220d963fa68b1acdfab202"},"schema_version":"1.0","source":{"id":"1410.1195","kind":"arxiv","version":1}},"canonical_sha256":"82d93f38083b0b8d0c6d582a5ead2970f3f7a898c1421760cd269c600c20765a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82d93f38083b0b8d0c6d582a5ead2970f3f7a898c1421760cd269c600c20765a","first_computed_at":"2026-05-18T02:41:02.509976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:02.509976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2hSLinVRs+nmmtd0lxiYr7xuFRORwKmF72f2+Uy0YHn4vtj+uPAVHHztU4B19IUb1lr5CDWja12bpoGmKpBoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:02.510440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1195","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0f91054c262d361bd533a4c3941903b54bff31bec40ad873e40203762d9429b","sha256:44fd86476c5d6772d1368377266a0ac1ff07826bf4cc43d6fedb2b33b11517e5"],"state_sha256":"c42e648f2d70d12dcf564376f64e74e471b3243ae9bdd248ac16333e2ebeaaab"}