{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FWXE3G5GIE54BHUE3BMVYL6Z2N","short_pith_number":"pith:FWXE3G5G","schema_version":"1.0","canonical_sha256":"2dae4d9ba6413bc09e84d8595c2fd9d3777dc74990964b315b6480a489260378","source":{"kind":"arxiv","id":"1704.04512","version":1},"attestation_state":"computed","paper":{"title":"Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by $M$-decompositions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bernardo Cockburn, Guosheng Fu","submitted_at":"2017-04-14T18:38:47Z","abstract_excerpt":"We propose a new tool, which we call $M$-decompositions, for devising superconvergent hybridizable discontinuous Galerkin (HDG) methods and hybridized-mixed methods for linear elasticity with strongly symmetric approximate stresses on unstructured polygonal/polyhedral meshes.\n  We show that for an HDG method, when its local approximation space admits an $M$-decomposition, optimal convergence of the approximate stress and superconvergence of an element-by-element postprocessing of the displacement field are obtained. The resulting methods are locking-free.\n  Moreover, we explicitly construct ap"},"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":"1704.04512","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-14T18:38:47Z","cross_cats_sorted":[],"title_canon_sha256":"d11cf85918bc4bbc535a599b5c35dbad76dda648ec61683f3a52e0dceef320de","abstract_canon_sha256":"e456da11f0dd07b7fb5b3758970cdd5e39e5c655c2e90554dce4ed1bd5b7cae2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:18.276445Z","signature_b64":"fmkP0+295Z+vMmdgaxzkQtgwWu5vLEjY+0R1zrBexlZxVSgImZHmVdDcXijQ2hdgm9AjNuYc/kTWiMwfKio6DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2dae4d9ba6413bc09e84d8595c2fd9d3777dc74990964b315b6480a489260378","last_reissued_at":"2026-05-18T00:46:18.276089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:18.276089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by $M$-decompositions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bernardo Cockburn, Guosheng Fu","submitted_at":"2017-04-14T18:38:47Z","abstract_excerpt":"We propose a new tool, which we call $M$-decompositions, for devising superconvergent hybridizable discontinuous Galerkin (HDG) methods and hybridized-mixed methods for linear elasticity with strongly symmetric approximate stresses on unstructured polygonal/polyhedral meshes.\n  We show that for an HDG method, when its local approximation space admits an $M$-decomposition, optimal convergence of the approximate stress and superconvergence of an element-by-element postprocessing of the displacement field are obtained. The resulting methods are locking-free.\n  Moreover, we explicitly construct ap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04512","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":"1704.04512","created_at":"2026-05-18T00:46:18.276151+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.04512v1","created_at":"2026-05-18T00:46:18.276151+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04512","created_at":"2026-05-18T00:46:18.276151+00:00"},{"alias_kind":"pith_short_12","alias_value":"FWXE3G5GIE54","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FWXE3G5GIE54BHUE","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FWXE3G5G","created_at":"2026-05-18T12:31:15.632608+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/FWXE3G5GIE54BHUE3BMVYL6Z2N","json":"https://pith.science/pith/FWXE3G5GIE54BHUE3BMVYL6Z2N.json","graph_json":"https://pith.science/api/pith-number/FWXE3G5GIE54BHUE3BMVYL6Z2N/graph.json","events_json":"https://pith.science/api/pith-number/FWXE3G5GIE54BHUE3BMVYL6Z2N/events.json","paper":"https://pith.science/paper/FWXE3G5G"},"agent_actions":{"view_html":"https://pith.science/pith/FWXE3G5GIE54BHUE3BMVYL6Z2N","download_json":"https://pith.science/pith/FWXE3G5GIE54BHUE3BMVYL6Z2N.json","view_paper":"https://pith.science/paper/FWXE3G5G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.04512&json=true","fetch_graph":"https://pith.science/api/pith-number/FWXE3G5GIE54BHUE3BMVYL6Z2N/graph.json","fetch_events":"https://pith.science/api/pith-number/FWXE3G5GIE54BHUE3BMVYL6Z2N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FWXE3G5GIE54BHUE3BMVYL6Z2N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FWXE3G5GIE54BHUE3BMVYL6Z2N/action/storage_attestation","attest_author":"https://pith.science/pith/FWXE3G5GIE54BHUE3BMVYL6Z2N/action/author_attestation","sign_citation":"https://pith.science/pith/FWXE3G5GIE54BHUE3BMVYL6Z2N/action/citation_signature","submit_replication":"https://pith.science/pith/FWXE3G5GIE54BHUE3BMVYL6Z2N/action/replication_record"}},"created_at":"2026-05-18T00:46:18.276151+00:00","updated_at":"2026-05-18T00:46:18.276151+00:00"}