{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:7YFV3FIGTFVWVHZO6LYKFRPN2D","short_pith_number":"pith:7YFV3FIG","schema_version":"1.0","canonical_sha256":"fe0b5d9506996b6a9f2ef2f0a2c5edd0c57332a6d2e67c611b5ed75c04dba884","source":{"kind":"arxiv","id":"1905.13513","version":1},"attestation_state":"computed","paper":{"title":"Block Preconditioners for Mixed-dimensional Discretization of Flow in Fractured Porous Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ana Budi\\v{s}a, Xiaozhe Hu","submitted_at":"2019-05-31T11:14:54Z","abstract_excerpt":"In this paper, we are interested in an efficient numerical method for the mixed-dimensional approach to modeling single-phase flow in fractured porous media. The model introduces fractures and their intersections as lower-dimensional structures, and the mortar variable is used for flow coupling between the matrix and fractures. We consider a stable mixed finite element discretization of the problem, which results in a parameter-dependent linear system. For this, we develop block preconditioners based on the well-posedness of the discretization choice. The preconditioned iterative method demons"},"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":"1905.13513","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-05-31T11:14:54Z","cross_cats_sorted":[],"title_canon_sha256":"fd76cb89bec9feeed6165fb5e0b1c175049d1d4242a00c8e73823ef93d28a82d","abstract_canon_sha256":"f44172d879c431a0e59140861fa416f074a8948e8f808579b0c422468d95075b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:34.741520Z","signature_b64":"3Z1rN5XSthGcrV38wTTjXblhP1d+EcexhfDI87s5EnxI5fwvZiy7bckxso3YMApAj/yHYvD/jZMyRFFvvBvADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe0b5d9506996b6a9f2ef2f0a2c5edd0c57332a6d2e67c611b5ed75c04dba884","last_reissued_at":"2026-05-17T23:44:34.740848Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:34.740848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Block Preconditioners for Mixed-dimensional Discretization of Flow in Fractured Porous Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ana Budi\\v{s}a, Xiaozhe Hu","submitted_at":"2019-05-31T11:14:54Z","abstract_excerpt":"In this paper, we are interested in an efficient numerical method for the mixed-dimensional approach to modeling single-phase flow in fractured porous media. The model introduces fractures and their intersections as lower-dimensional structures, and the mortar variable is used for flow coupling between the matrix and fractures. We consider a stable mixed finite element discretization of the problem, which results in a parameter-dependent linear system. For this, we develop block preconditioners based on the well-posedness of the discretization choice. The preconditioned iterative method demons"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.13513","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":"1905.13513","created_at":"2026-05-17T23:44:34.740933+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.13513v1","created_at":"2026-05-17T23:44:34.740933+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.13513","created_at":"2026-05-17T23:44:34.740933+00:00"},{"alias_kind":"pith_short_12","alias_value":"7YFV3FIGTFVW","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"7YFV3FIGTFVWVHZO","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"7YFV3FIG","created_at":"2026-05-18T12:33:12.712433+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/7YFV3FIGTFVWVHZO6LYKFRPN2D","json":"https://pith.science/pith/7YFV3FIGTFVWVHZO6LYKFRPN2D.json","graph_json":"https://pith.science/api/pith-number/7YFV3FIGTFVWVHZO6LYKFRPN2D/graph.json","events_json":"https://pith.science/api/pith-number/7YFV3FIGTFVWVHZO6LYKFRPN2D/events.json","paper":"https://pith.science/paper/7YFV3FIG"},"agent_actions":{"view_html":"https://pith.science/pith/7YFV3FIGTFVWVHZO6LYKFRPN2D","download_json":"https://pith.science/pith/7YFV3FIGTFVWVHZO6LYKFRPN2D.json","view_paper":"https://pith.science/paper/7YFV3FIG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.13513&json=true","fetch_graph":"https://pith.science/api/pith-number/7YFV3FIGTFVWVHZO6LYKFRPN2D/graph.json","fetch_events":"https://pith.science/api/pith-number/7YFV3FIGTFVWVHZO6LYKFRPN2D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7YFV3FIGTFVWVHZO6LYKFRPN2D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7YFV3FIGTFVWVHZO6LYKFRPN2D/action/storage_attestation","attest_author":"https://pith.science/pith/7YFV3FIGTFVWVHZO6LYKFRPN2D/action/author_attestation","sign_citation":"https://pith.science/pith/7YFV3FIGTFVWVHZO6LYKFRPN2D/action/citation_signature","submit_replication":"https://pith.science/pith/7YFV3FIGTFVWVHZO6LYKFRPN2D/action/replication_record"}},"created_at":"2026-05-17T23:44:34.740933+00:00","updated_at":"2026-05-17T23:44:34.740933+00:00"}