{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:EX2ENU3BUUKKRN5IYXCAXG5XVM","short_pith_number":"pith:EX2ENU3B","schema_version":"1.0","canonical_sha256":"25f446d361a514a8b7a8c5c40b9bb7ab3548f29a6e6fa6e6b7eba724f7cb5fb7","source":{"kind":"arxiv","id":"1201.3581","version":2},"attestation_state":"computed","paper":{"title":"Finite Element Methods with Artificial Diffusion for Hamilton-Jacobi-Bellman Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.NA","authors_text":"Iain Smears, Max Jensen","submitted_at":"2012-01-17T18:11:49Z","abstract_excerpt":"In this short note we investigate the numerical performance of the method of artificial diffusion for second-order fully nonlinear Hamilton-Jacobi-Bellman equations. The method was proposed in (M. Jensen and I. Smears, arxiv:1111.5423); where a framework of finite element methods for Hamilton-Jacobi-Bellman equations was studied theoretically. The numerical examples in this note study how the artificial diffusion is activated in regions of degeneracy, the effect of a locally selected diffusion parameter on the observed numerical dissipation and the solution of second-order fully nonlinear equa"},"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":"1201.3581","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-01-17T18:11:49Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"c920670497d0d498fee190d02f0cbaa94d74ba25e2e70babe2d204c4eaa8c888","abstract_canon_sha256":"e81ee8938edfc4c925a9c81f550ebf81140311995928f6c00c419b8530833b15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:57.156959Z","signature_b64":"9sTG3uReAxnc9HTo225fh0rUd3ToctjUgspkWt/U43zQYppCGDCR1Kp8zsr0EyDsfzlsvBA6HFihCc3bt29WCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25f446d361a514a8b7a8c5c40b9bb7ab3548f29a6e6fa6e6b7eba724f7cb5fb7","last_reissued_at":"2026-05-18T03:32:57.156241Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:57.156241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite Element Methods with Artificial Diffusion for Hamilton-Jacobi-Bellman Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.NA","authors_text":"Iain Smears, Max Jensen","submitted_at":"2012-01-17T18:11:49Z","abstract_excerpt":"In this short note we investigate the numerical performance of the method of artificial diffusion for second-order fully nonlinear Hamilton-Jacobi-Bellman equations. The method was proposed in (M. Jensen and I. Smears, arxiv:1111.5423); where a framework of finite element methods for Hamilton-Jacobi-Bellman equations was studied theoretically. The numerical examples in this note study how the artificial diffusion is activated in regions of degeneracy, the effect of a locally selected diffusion parameter on the observed numerical dissipation and the solution of second-order fully nonlinear equa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3581","kind":"arxiv","version":2},"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":"1201.3581","created_at":"2026-05-18T03:32:57.156369+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.3581v2","created_at":"2026-05-18T03:32:57.156369+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3581","created_at":"2026-05-18T03:32:57.156369+00:00"},{"alias_kind":"pith_short_12","alias_value":"EX2ENU3BUUKK","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"EX2ENU3BUUKKRN5I","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"EX2ENU3B","created_at":"2026-05-18T12:27:04.183437+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/EX2ENU3BUUKKRN5IYXCAXG5XVM","json":"https://pith.science/pith/EX2ENU3BUUKKRN5IYXCAXG5XVM.json","graph_json":"https://pith.science/api/pith-number/EX2ENU3BUUKKRN5IYXCAXG5XVM/graph.json","events_json":"https://pith.science/api/pith-number/EX2ENU3BUUKKRN5IYXCAXG5XVM/events.json","paper":"https://pith.science/paper/EX2ENU3B"},"agent_actions":{"view_html":"https://pith.science/pith/EX2ENU3BUUKKRN5IYXCAXG5XVM","download_json":"https://pith.science/pith/EX2ENU3BUUKKRN5IYXCAXG5XVM.json","view_paper":"https://pith.science/paper/EX2ENU3B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.3581&json=true","fetch_graph":"https://pith.science/api/pith-number/EX2ENU3BUUKKRN5IYXCAXG5XVM/graph.json","fetch_events":"https://pith.science/api/pith-number/EX2ENU3BUUKKRN5IYXCAXG5XVM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EX2ENU3BUUKKRN5IYXCAXG5XVM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EX2ENU3BUUKKRN5IYXCAXG5XVM/action/storage_attestation","attest_author":"https://pith.science/pith/EX2ENU3BUUKKRN5IYXCAXG5XVM/action/author_attestation","sign_citation":"https://pith.science/pith/EX2ENU3BUUKKRN5IYXCAXG5XVM/action/citation_signature","submit_replication":"https://pith.science/pith/EX2ENU3BUUKKRN5IYXCAXG5XVM/action/replication_record"}},"created_at":"2026-05-18T03:32:57.156369+00:00","updated_at":"2026-05-18T03:32:57.156369+00:00"}