{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:ERMZYS5P2YEQ7N4VT2WPDCTDUA","short_pith_number":"pith:ERMZYS5P","schema_version":"1.0","canonical_sha256":"24599c4bafd6090fb7959eacf18a63a037ba46f86230eb9d77970bc69f28e31c","source":{"kind":"arxiv","id":"1904.02401","version":2},"attestation_state":"computed","paper":{"title":"A parallel Newton multigrid framework for monolithic fluid-structure interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"L. Failer, T. Richter","submitted_at":"2019-04-04T08:24:46Z","abstract_excerpt":"We present a monolithic parallel Newton-multigrid solver for nonlinear three dimensional fluid-structure interactions in Arbitrary Lagrangian Eulerian formulation. We start with a finite element discretization of the coupled problem, based on a remapping of the Navier-Stokes equation onto a fixed reference framework. The strongly coupled fluid-structure interaction problem is discretized with finite elements in time and finite differences in time. The resulting nonlinear and linear systems of equations are large and show a very high condition number. We present a novel Newton approach that is "},"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":"1904.02401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-04T08:24:46Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"d0547e94bb7308cb5ca9d046ce5f15ef5f29e0f4393648a60be5038bb560cce7","abstract_canon_sha256":"c680cb135d6206e2e3f775832634ae00e9b0ca17b9ae978af824c8e7e3aca58a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T20:14:23.033510Z","signature_b64":"bTxVFbnc5rcLt4S15zAMwxnZajNjPH3JdtZ28a2jMCb8jVj+T4F6jCTcQ/cGzvOLcFqE6s3OJNNE7jW7WlXQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24599c4bafd6090fb7959eacf18a63a037ba46f86230eb9d77970bc69f28e31c","last_reissued_at":"2026-06-04T20:14:23.033044Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T20:14:23.033044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A parallel Newton multigrid framework for monolithic fluid-structure interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"L. Failer, T. Richter","submitted_at":"2019-04-04T08:24:46Z","abstract_excerpt":"We present a monolithic parallel Newton-multigrid solver for nonlinear three dimensional fluid-structure interactions in Arbitrary Lagrangian Eulerian formulation. We start with a finite element discretization of the coupled problem, based on a remapping of the Navier-Stokes equation onto a fixed reference framework. The strongly coupled fluid-structure interaction problem is discretized with finite elements in time and finite differences in time. The resulting nonlinear and linear systems of equations are large and show a very high condition number. We present a novel Newton approach that is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02401","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1904.02401/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1904.02401","created_at":"2026-06-04T20:14:23.033100+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.02401v2","created_at":"2026-06-04T20:14:23.033100+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.02401","created_at":"2026-06-04T20:14:23.033100+00:00"},{"alias_kind":"pith_short_12","alias_value":"ERMZYS5P2YEQ","created_at":"2026-06-04T20:14:23.033100+00:00"},{"alias_kind":"pith_short_16","alias_value":"ERMZYS5P2YEQ7N4V","created_at":"2026-06-04T20:14:23.033100+00:00"},{"alias_kind":"pith_short_8","alias_value":"ERMZYS5P","created_at":"2026-06-04T20:14:23.033100+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.04637","citing_title":"Numerical benchmarking of fluid-rigid body interactions","ref_index":31,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ERMZYS5P2YEQ7N4VT2WPDCTDUA","json":"https://pith.science/pith/ERMZYS5P2YEQ7N4VT2WPDCTDUA.json","graph_json":"https://pith.science/api/pith-number/ERMZYS5P2YEQ7N4VT2WPDCTDUA/graph.json","events_json":"https://pith.science/api/pith-number/ERMZYS5P2YEQ7N4VT2WPDCTDUA/events.json","paper":"https://pith.science/paper/ERMZYS5P"},"agent_actions":{"view_html":"https://pith.science/pith/ERMZYS5P2YEQ7N4VT2WPDCTDUA","download_json":"https://pith.science/pith/ERMZYS5P2YEQ7N4VT2WPDCTDUA.json","view_paper":"https://pith.science/paper/ERMZYS5P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.02401&json=true","fetch_graph":"https://pith.science/api/pith-number/ERMZYS5P2YEQ7N4VT2WPDCTDUA/graph.json","fetch_events":"https://pith.science/api/pith-number/ERMZYS5P2YEQ7N4VT2WPDCTDUA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ERMZYS5P2YEQ7N4VT2WPDCTDUA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ERMZYS5P2YEQ7N4VT2WPDCTDUA/action/storage_attestation","attest_author":"https://pith.science/pith/ERMZYS5P2YEQ7N4VT2WPDCTDUA/action/author_attestation","sign_citation":"https://pith.science/pith/ERMZYS5P2YEQ7N4VT2WPDCTDUA/action/citation_signature","submit_replication":"https://pith.science/pith/ERMZYS5P2YEQ7N4VT2WPDCTDUA/action/replication_record"}},"created_at":"2026-06-04T20:14:23.033100+00:00","updated_at":"2026-06-04T20:14:23.033100+00:00"}