{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UIEIKFU66R5RRAAWRCPGCW7BZ2","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":"d9a7e5e4e0d75416ff6cf6ad7a69f03e25e0da20f8c732dedfb5864f810aa03f","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-05-15T15:15:59Z","title_canon_sha256":"fd6b7dd01a162b32d0047b1011f24ed62136cf5f746700e47a3b8e644fc80572"},"schema_version":"1.0","source":{"id":"1305.3519","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3519","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3519v1","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3519","created_at":"2026-05-18T03:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"UIEIKFU66R5R","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UIEIKFU66R5RRAAW","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UIEIKFU6","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:34de3574975ecd2376c59592a65512d6e2c9d7a92bfdb25da71e26f7338b0c84","target":"graph","created_at":"2026-05-18T03:25:35Z","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":"In this paper, we extend the reduced-basis methods developed earlier for wave equations to goal-oriented wave equations with affine parameter dependence. The essential new ingredient is the dual (or adjoint) problem and the use of its solution in a sampling procedure to pick up \"goal-orientedly\" parameter samples. First, we introduce the reduced-basis recipe --- Galerkin projection onto a space $Y_N$ spanned by the reduced basis functions which are constructed from the solutions of the governing partial differential equation at several selected points in parameter space. Second, we propose a n","authors_text":"Khac Chi Hoang, Pierre Kerfriden, Stephane P.A. Bordas","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-05-15T15:15:59Z","title":"A goal-oriented reduced basis method for the wave equation in inverse analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3519","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:aa5be698331d859c18e121c64b5843c1d44cefa3105c527196cb43c288c1e8f0","target":"record","created_at":"2026-05-18T03:25:35Z","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":"d9a7e5e4e0d75416ff6cf6ad7a69f03e25e0da20f8c732dedfb5864f810aa03f","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-05-15T15:15:59Z","title_canon_sha256":"fd6b7dd01a162b32d0047b1011f24ed62136cf5f746700e47a3b8e644fc80572"},"schema_version":"1.0","source":{"id":"1305.3519","kind":"arxiv","version":1}},"canonical_sha256":"a20885169ef47b188016889e615be1ce8e7932e1ac4a5f50f34f72fef1b9e87f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a20885169ef47b188016889e615be1ce8e7932e1ac4a5f50f34f72fef1b9e87f","first_computed_at":"2026-05-18T03:25:35.611837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:35.611837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+gkbHEoFZJkPnJzzvCd7IM/AqADDEn8VnH8CHoOhJfWu/aXY5V8yPCygbN0Oh/AlltWaYx8eg7EyA8W6ZrHqAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:35.612542Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3519","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa5be698331d859c18e121c64b5843c1d44cefa3105c527196cb43c288c1e8f0","sha256:34de3574975ecd2376c59592a65512d6e2c9d7a92bfdb25da71e26f7338b0c84"],"state_sha256":"c7be9b408b4cb1662169e40b917127b69db7dacbe090316fbb0e2136b95f9191"}