{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:XTBYMZ545OJDYSOCDYEZDH56ED","short_pith_number":"pith:XTBYMZ54","schema_version":"1.0","canonical_sha256":"bcc38667bceb923c49c21e09919fbe20fe460c646a88df7b91be4e5457f2db9e","source":{"kind":"arxiv","id":"1904.02527","version":1},"attestation_state":"computed","paper":{"title":"Discontinuous Galerkin Isogeometric Analysis for Elliptic Problems with Discontinuous Coefficients on Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Stephen Edward Moore","submitted_at":"2019-04-04T13:07:22Z","abstract_excerpt":"This paper is concerned with using discontinuous Galerkin isogeometric analysis (dGIGA) as a numerical treatment of Diffusion problems on orientable surfaces $\\Omega \\subset \\mathbb{R}^3$. The computational domain or surface considered consist of several non-overlapping sub-domains or patches which are coupled via an interior penalty scheme. In Langer and Moore U. Langer and S. E. Moore,2014, we presented a priori error estimate for conforming computational domains with matching meshes across patch interface and a constant diffusion coefficient. However, in this article, we generalize the \\tex"},"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":"1904.02527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-04T13:07:22Z","cross_cats_sorted":[],"title_canon_sha256":"2a2582b881d56edc38dbfb478eadded4844ebac3d0e13fc8ee1282553d4036d7","abstract_canon_sha256":"d71c83c72335865f892e54089a3742caf0c44d41f230cb4b8fdeb3bd9f424cfb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:23.393696Z","signature_b64":"B4UpmP04GLtNLXZXFzQmYUSGq2rD4/7Gg1T10pabtd6eDYsKFEehLFb+CyWEBEAWnuIsHnMAOP8jYjK1M+Q2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcc38667bceb923c49c21e09919fbe20fe460c646a88df7b91be4e5457f2db9e","last_reissued_at":"2026-05-17T23:49:23.393130Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:23.393130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discontinuous Galerkin Isogeometric Analysis for Elliptic Problems with Discontinuous Coefficients on Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Stephen Edward Moore","submitted_at":"2019-04-04T13:07:22Z","abstract_excerpt":"This paper is concerned with using discontinuous Galerkin isogeometric analysis (dGIGA) as a numerical treatment of Diffusion problems on orientable surfaces $\\Omega \\subset \\mathbb{R}^3$. The computational domain or surface considered consist of several non-overlapping sub-domains or patches which are coupled via an interior penalty scheme. In Langer and Moore U. Langer and S. E. Moore,2014, we presented a priori error estimate for conforming computational domains with matching meshes across patch interface and a constant diffusion coefficient. However, in this article, we generalize the \\tex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02527","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":"1904.02527","created_at":"2026-05-17T23:49:23.393218+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.02527v1","created_at":"2026-05-17T23:49:23.393218+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.02527","created_at":"2026-05-17T23:49:23.393218+00:00"},{"alias_kind":"pith_short_12","alias_value":"XTBYMZ545OJD","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"XTBYMZ545OJDYSOC","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"XTBYMZ54","created_at":"2026-05-18T12:33:33.725879+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/XTBYMZ545OJDYSOCDYEZDH56ED","json":"https://pith.science/pith/XTBYMZ545OJDYSOCDYEZDH56ED.json","graph_json":"https://pith.science/api/pith-number/XTBYMZ545OJDYSOCDYEZDH56ED/graph.json","events_json":"https://pith.science/api/pith-number/XTBYMZ545OJDYSOCDYEZDH56ED/events.json","paper":"https://pith.science/paper/XTBYMZ54"},"agent_actions":{"view_html":"https://pith.science/pith/XTBYMZ545OJDYSOCDYEZDH56ED","download_json":"https://pith.science/pith/XTBYMZ545OJDYSOCDYEZDH56ED.json","view_paper":"https://pith.science/paper/XTBYMZ54","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.02527&json=true","fetch_graph":"https://pith.science/api/pith-number/XTBYMZ545OJDYSOCDYEZDH56ED/graph.json","fetch_events":"https://pith.science/api/pith-number/XTBYMZ545OJDYSOCDYEZDH56ED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XTBYMZ545OJDYSOCDYEZDH56ED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XTBYMZ545OJDYSOCDYEZDH56ED/action/storage_attestation","attest_author":"https://pith.science/pith/XTBYMZ545OJDYSOCDYEZDH56ED/action/author_attestation","sign_citation":"https://pith.science/pith/XTBYMZ545OJDYSOCDYEZDH56ED/action/citation_signature","submit_replication":"https://pith.science/pith/XTBYMZ545OJDYSOCDYEZDH56ED/action/replication_record"}},"created_at":"2026-05-17T23:49:23.393218+00:00","updated_at":"2026-05-17T23:49:23.393218+00:00"}