{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CDMLGM3GR6ELFUSN4B2W62RUGC","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":"a62eb9fba7ffba819bd00d0076e25a14b5109bd742adc9e2d2bdaf0568e4f5f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-03T18:59:23Z","title_canon_sha256":"a2d6ae177aac4d314a7c63dcc64c5cdd221a4236c46955682046e571136b4840"},"schema_version":"1.0","source":{"id":"1606.01221","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.01221","created_at":"2026-05-18T00:56:06Z"},{"alias_kind":"arxiv_version","alias_value":"1606.01221v2","created_at":"2026-05-18T00:56:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01221","created_at":"2026-05-18T00:56:06Z"},{"alias_kind":"pith_short_12","alias_value":"CDMLGM3GR6EL","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CDMLGM3GR6ELFUSN","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CDMLGM3G","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:2129b3bdd0864d727341609c6004a2d0558b5f58d375c894897da3b5d3510ff8","target":"graph","created_at":"2026-05-18T00:56:06Z","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":"This work combines the consistency in lower-order differential operators with external approximations of functional spaces to obtain error estimates for finite difference finite volume schemes on unstructured non-uniform meshes. This combined approach is first applied to the one-dimensional elliptic boundary value problem on non-uniform meshes, and a first-order convergence rate is obtained, which agrees with the results previously reported. The approach is also applied to the staggered MAC scheme for the two-dimensional incompressible Stokes problem on unstructured meshes. A first-order conve","authors_text":"Qingshan Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-03T18:59:23Z","title":"Error analysis of staggered finite difference finite volume schemes on unstructured meshes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01221","kind":"arxiv","version":2},"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":"sha256:4e9a2d3d133c645c36f631b0260dcf533e75655f5a33754421570eece3deb749","target":"record","created_at":"2026-05-18T00:56:06Z","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":"a62eb9fba7ffba819bd00d0076e25a14b5109bd742adc9e2d2bdaf0568e4f5f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-03T18:59:23Z","title_canon_sha256":"a2d6ae177aac4d314a7c63dcc64c5cdd221a4236c46955682046e571136b4840"},"schema_version":"1.0","source":{"id":"1606.01221","kind":"arxiv","version":2}},"canonical_sha256":"10d8b333668f88b2d24de0756f6a3430b30d6e7c01a48ad8c9bc6be9cd1a865d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10d8b333668f88b2d24de0756f6a3430b30d6e7c01a48ad8c9bc6be9cd1a865d","first_computed_at":"2026-05-18T00:56:06.341894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:06.341894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nFc6Eno3aZEpn3GmqyjA3x7ifik/H6kIgGW8w7a69foChJe/TwWrcAkkYVAkaGTXrKFQqmh2cca5gfwGxSQPDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:06.342303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.01221","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e9a2d3d133c645c36f631b0260dcf533e75655f5a33754421570eece3deb749","sha256:2129b3bdd0864d727341609c6004a2d0558b5f58d375c894897da3b5d3510ff8"],"state_sha256":"fbc70ee3c3b7335da10049769d75b7aabd9d9f22d33beb078e12642d8a77f246"}