{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:COWAEHKDYHTQOAZHE2TILNP3XE","short_pith_number":"pith:COWAEHKD","schema_version":"1.0","canonical_sha256":"13ac021d43c1e707032726a685b5fbb91c313368005ad5b6f7b0563e485ec075","source":{"kind":"arxiv","id":"1605.01208","version":2},"attestation_state":"computed","paper":{"title":"Convergence of a decoupled mixed FEM for the dynamic Ginzburg--Landau equations in nonsmooth domains with incompatible initial data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Buyang Li","submitted_at":"2016-05-04T10:14:00Z","abstract_excerpt":"In this paper, we propose a fully discrete mixed finite element method for solving the time-dependent Ginzburg--Landau equations, and prove the convergence of the finite element solutions in general curved polyhedra, possibly nonconvex and multi-connected, without assumptions on the regularity of the solution. Global existence and uniqueness of weak solutions for the PDE problem are also obtained in the meantime. A decoupled time-stepping scheme is introduced, which guarantees that the discrete solution has bounded discrete energy, and the finite element spaces are chosen to be compatible with"},"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":"1605.01208","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-04T10:14:00Z","cross_cats_sorted":[],"title_canon_sha256":"c4184af57430699e61862d029a00327c9c7766b6fef174af75410ada0431b3a6","abstract_canon_sha256":"c177ea240d0380a20f372e5aecb64685a13ef716cbab45733ab206ac138c72b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:33.757903Z","signature_b64":"5JmT3EkhJQIv40q2EHJBjHQ3hU1Vd3XaXS2t2gCSWwXdyk3xaqy/920ZM9Ib9KUmFNzQwV7MjCRgiBJIgSGjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13ac021d43c1e707032726a685b5fbb91c313368005ad5b6f7b0563e485ec075","last_reissued_at":"2026-05-18T01:15:33.757342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:33.757342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence of a decoupled mixed FEM for the dynamic Ginzburg--Landau equations in nonsmooth domains with incompatible initial data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Buyang Li","submitted_at":"2016-05-04T10:14:00Z","abstract_excerpt":"In this paper, we propose a fully discrete mixed finite element method for solving the time-dependent Ginzburg--Landau equations, and prove the convergence of the finite element solutions in general curved polyhedra, possibly nonconvex and multi-connected, without assumptions on the regularity of the solution. Global existence and uniqueness of weak solutions for the PDE problem are also obtained in the meantime. A decoupled time-stepping scheme is introduced, which guarantees that the discrete solution has bounded discrete energy, and the finite element spaces are chosen to be compatible with"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01208","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":"1605.01208","created_at":"2026-05-18T01:15:33.757415+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.01208v2","created_at":"2026-05-18T01:15:33.757415+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01208","created_at":"2026-05-18T01:15:33.757415+00:00"},{"alias_kind":"pith_short_12","alias_value":"COWAEHKDYHTQ","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"COWAEHKDYHTQOAZH","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"COWAEHKD","created_at":"2026-05-18T12:30:09.641336+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/COWAEHKDYHTQOAZHE2TILNP3XE","json":"https://pith.science/pith/COWAEHKDYHTQOAZHE2TILNP3XE.json","graph_json":"https://pith.science/api/pith-number/COWAEHKDYHTQOAZHE2TILNP3XE/graph.json","events_json":"https://pith.science/api/pith-number/COWAEHKDYHTQOAZHE2TILNP3XE/events.json","paper":"https://pith.science/paper/COWAEHKD"},"agent_actions":{"view_html":"https://pith.science/pith/COWAEHKDYHTQOAZHE2TILNP3XE","download_json":"https://pith.science/pith/COWAEHKDYHTQOAZHE2TILNP3XE.json","view_paper":"https://pith.science/paper/COWAEHKD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.01208&json=true","fetch_graph":"https://pith.science/api/pith-number/COWAEHKDYHTQOAZHE2TILNP3XE/graph.json","fetch_events":"https://pith.science/api/pith-number/COWAEHKDYHTQOAZHE2TILNP3XE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/COWAEHKDYHTQOAZHE2TILNP3XE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/COWAEHKDYHTQOAZHE2TILNP3XE/action/storage_attestation","attest_author":"https://pith.science/pith/COWAEHKDYHTQOAZHE2TILNP3XE/action/author_attestation","sign_citation":"https://pith.science/pith/COWAEHKDYHTQOAZHE2TILNP3XE/action/citation_signature","submit_replication":"https://pith.science/pith/COWAEHKDYHTQOAZHE2TILNP3XE/action/replication_record"}},"created_at":"2026-05-18T01:15:33.757415+00:00","updated_at":"2026-05-18T01:15:33.757415+00:00"}