{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:EGZRMWWIFNYRVQT22RZW6JZPHK","short_pith_number":"pith:EGZRMWWI","schema_version":"1.0","canonical_sha256":"21b3165ac82b711ac27ad4736f272f3a8d7ccec6a8a1b23227bcfba6297ba45c","source":{"kind":"arxiv","id":"1812.11809","version":2},"attestation_state":"computed","paper":{"title":"Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Johannes Kraus, Maria Lymbery, Mary Fanett Wheeler, Qingguo Hong","submitted_at":"2018-12-31T14:27:46Z","abstract_excerpt":"We consider flux-based multiple-porosity/multiple-permeability poroelasticity systems describing multiple-network flow and deformation in a poro-elastic medium, sometimes also referred to as MPET models. The focus of the paper is on the convergence analysis of the fixed-stress split iteration, a commonly used coupling technique for the flow and mechanics equations in poromechanics. We formulate the fixed-stress split method in the present context and prove its linear convergence. The contraction rate of this fixed-point iteration does not depend on any of the physical parameters appearing in t"},"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":"1812.11809","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-12-31T14:27:46Z","cross_cats_sorted":[],"title_canon_sha256":"695b1e12f520b3752488b730a13c6c83a3924af5b2162e753929bdba862053de","abstract_canon_sha256":"f7724945c0ed909b30bf707cc9fbe1edf70ecaf8f450376e694c71d0f7cf69cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:54.963322Z","signature_b64":"49iygn4fOqSqEo1HbZNMu/7n3rN8scGQp2d71kvW5HePoMMZSqMakUa+yeFZMbtCMWfA1T7r0cYjBsZcw+grCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21b3165ac82b711ac27ad4736f272f3a8d7ccec6a8a1b23227bcfba6297ba45c","last_reissued_at":"2026-05-17T23:49:54.962843Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:54.962843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Johannes Kraus, Maria Lymbery, Mary Fanett Wheeler, Qingguo Hong","submitted_at":"2018-12-31T14:27:46Z","abstract_excerpt":"We consider flux-based multiple-porosity/multiple-permeability poroelasticity systems describing multiple-network flow and deformation in a poro-elastic medium, sometimes also referred to as MPET models. The focus of the paper is on the convergence analysis of the fixed-stress split iteration, a commonly used coupling technique for the flow and mechanics equations in poromechanics. We formulate the fixed-stress split method in the present context and prove its linear convergence. The contraction rate of this fixed-point iteration does not depend on any of the physical parameters appearing in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11809","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":"1812.11809","created_at":"2026-05-17T23:49:54.962917+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.11809v2","created_at":"2026-05-17T23:49:54.962917+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11809","created_at":"2026-05-17T23:49:54.962917+00:00"},{"alias_kind":"pith_short_12","alias_value":"EGZRMWWIFNYR","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_16","alias_value":"EGZRMWWIFNYRVQT2","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_8","alias_value":"EGZRMWWI","created_at":"2026-05-18T12:32:22.470017+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/EGZRMWWIFNYRVQT22RZW6JZPHK","json":"https://pith.science/pith/EGZRMWWIFNYRVQT22RZW6JZPHK.json","graph_json":"https://pith.science/api/pith-number/EGZRMWWIFNYRVQT22RZW6JZPHK/graph.json","events_json":"https://pith.science/api/pith-number/EGZRMWWIFNYRVQT22RZW6JZPHK/events.json","paper":"https://pith.science/paper/EGZRMWWI"},"agent_actions":{"view_html":"https://pith.science/pith/EGZRMWWIFNYRVQT22RZW6JZPHK","download_json":"https://pith.science/pith/EGZRMWWIFNYRVQT22RZW6JZPHK.json","view_paper":"https://pith.science/paper/EGZRMWWI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.11809&json=true","fetch_graph":"https://pith.science/api/pith-number/EGZRMWWIFNYRVQT22RZW6JZPHK/graph.json","fetch_events":"https://pith.science/api/pith-number/EGZRMWWIFNYRVQT22RZW6JZPHK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EGZRMWWIFNYRVQT22RZW6JZPHK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EGZRMWWIFNYRVQT22RZW6JZPHK/action/storage_attestation","attest_author":"https://pith.science/pith/EGZRMWWIFNYRVQT22RZW6JZPHK/action/author_attestation","sign_citation":"https://pith.science/pith/EGZRMWWIFNYRVQT22RZW6JZPHK/action/citation_signature","submit_replication":"https://pith.science/pith/EGZRMWWIFNYRVQT22RZW6JZPHK/action/replication_record"}},"created_at":"2026-05-17T23:49:54.962917+00:00","updated_at":"2026-05-17T23:49:54.962917+00:00"}