{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:TEMTXPAZM2ZYYOZFJ3BTRM5TZX","short_pith_number":"pith:TEMTXPAZ","schema_version":"1.0","canonical_sha256":"99193bbc1966b38c3b254ec338b3b3cdeb8fe4a552ddef25aee083bbb9a82ae6","source":{"kind":"arxiv","id":"1305.3528","version":2},"attestation_state":"computed","paper":{"title":"Space-time goal-oriented reduced basis approximation for linear wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.comp-ph","authors_text":"Khac Chi Hoang, Pierre Kerfriden, Stephane P. A. Bordas","submitted_at":"2013-05-15T16:12:48Z","abstract_excerpt":"In this paper, we study numerically the linear damped second-order hyperbolic partial differential equation (PDE) with affine parameter dependence using a goal-oriented approach by finite element (FE) and reduced basis (RB) methods. The main contribution of this paper is the \"goal-oriented\" proper orthogonal decomposition (POD)-Greedy sampling procedure within the RB approximation context. First, we introduce the RB recipe: Galerkin projection onto a space $Y_N$ spanned by solutions of the governing PDE at $N$ selected points in parameter space. This set of $N$ parameter points is constructed "},"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":"1305.3528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-05-15T16:12:48Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"9396a22cdb791e918537afd82fd4ef888799ef6fd13951e07b355fd55ddc0df0","abstract_canon_sha256":"4c9d3f014a49b49e7ea47769ef464fcec27e02c41d3818cb359805d4c52c0a0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:21.397537Z","signature_b64":"rn9OaMX0tYE2fwbFPF+MZvExH2LS5pI2eM/tEbJhAzIDpA60nwy+kJ7Jw3yGPPO7TUXQcI8qMi4KV7mWWVPuAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99193bbc1966b38c3b254ec338b3b3cdeb8fe4a552ddef25aee083bbb9a82ae6","last_reissued_at":"2026-05-18T03:13:21.396960Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:21.396960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Space-time goal-oriented reduced basis approximation for linear wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.comp-ph","authors_text":"Khac Chi Hoang, Pierre Kerfriden, Stephane P. A. Bordas","submitted_at":"2013-05-15T16:12:48Z","abstract_excerpt":"In this paper, we study numerically the linear damped second-order hyperbolic partial differential equation (PDE) with affine parameter dependence using a goal-oriented approach by finite element (FE) and reduced basis (RB) methods. The main contribution of this paper is the \"goal-oriented\" proper orthogonal decomposition (POD)-Greedy sampling procedure within the RB approximation context. First, we introduce the RB recipe: Galerkin projection onto a space $Y_N$ spanned by solutions of the governing PDE at $N$ selected points in parameter space. This set of $N$ parameter points is constructed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3528","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":"1305.3528","created_at":"2026-05-18T03:13:21.397044+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.3528v2","created_at":"2026-05-18T03:13:21.397044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3528","created_at":"2026-05-18T03:13:21.397044+00:00"},{"alias_kind":"pith_short_12","alias_value":"TEMTXPAZM2ZY","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"TEMTXPAZM2ZYYOZF","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"TEMTXPAZ","created_at":"2026-05-18T12:28:02.375192+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/TEMTXPAZM2ZYYOZFJ3BTRM5TZX","json":"https://pith.science/pith/TEMTXPAZM2ZYYOZFJ3BTRM5TZX.json","graph_json":"https://pith.science/api/pith-number/TEMTXPAZM2ZYYOZFJ3BTRM5TZX/graph.json","events_json":"https://pith.science/api/pith-number/TEMTXPAZM2ZYYOZFJ3BTRM5TZX/events.json","paper":"https://pith.science/paper/TEMTXPAZ"},"agent_actions":{"view_html":"https://pith.science/pith/TEMTXPAZM2ZYYOZFJ3BTRM5TZX","download_json":"https://pith.science/pith/TEMTXPAZM2ZYYOZFJ3BTRM5TZX.json","view_paper":"https://pith.science/paper/TEMTXPAZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.3528&json=true","fetch_graph":"https://pith.science/api/pith-number/TEMTXPAZM2ZYYOZFJ3BTRM5TZX/graph.json","fetch_events":"https://pith.science/api/pith-number/TEMTXPAZM2ZYYOZFJ3BTRM5TZX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TEMTXPAZM2ZYYOZFJ3BTRM5TZX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TEMTXPAZM2ZYYOZFJ3BTRM5TZX/action/storage_attestation","attest_author":"https://pith.science/pith/TEMTXPAZM2ZYYOZFJ3BTRM5TZX/action/author_attestation","sign_citation":"https://pith.science/pith/TEMTXPAZM2ZYYOZFJ3BTRM5TZX/action/citation_signature","submit_replication":"https://pith.science/pith/TEMTXPAZM2ZYYOZFJ3BTRM5TZX/action/replication_record"}},"created_at":"2026-05-18T03:13:21.397044+00:00","updated_at":"2026-05-18T03:13:21.397044+00:00"}