{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:JY2UWICTAX6P6TSXIMRAN75KIT","short_pith_number":"pith:JY2UWICT","schema_version":"1.0","canonical_sha256":"4e354b205305fcff4e57432206ffaa44c01e0bd6fb0d53ad95700acc6c2730d3","source":{"kind":"arxiv","id":"2105.03297","version":1},"attestation_state":"computed","paper":{"title":"Elimination of ringing artifacts by finite-element projection in FFT-based homogenization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cs.NA"],"primary_cat":"math.NA","authors_text":"Ali Falsafi, Indre J\\\"odicke, Ivana Pultarov\\'a, Jan Zeman, Lars Pastewka, Martin Ladeck\\'y, Richard J. Leute, Till Junge","submitted_at":"2021-05-07T14:49:38Z","abstract_excerpt":"Micromechanical homogenization is often carried out with Fourier-accelerated methods that are prone to ringing artifacts. We here generalize the compatibility projection introduced by Vond\\v{r}ejc, Zeman & Marek [Comput. Math. Appl. 68, 156 (2014)] beyond the Fourier basis. In particular, we formulate the compatibility projection for linear finite elements while maintaining Fourier-acceleration and the fast convergence properties of the original method. We demonstrate that this eliminates ringing artifacts and yields an efficient computational homogenization scheme that is equivalent to canoni"},"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":"2105.03297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-05-07T14:49:38Z","cross_cats_sorted":["cond-mat.mtrl-sci","cs.NA"],"title_canon_sha256":"3885c6a811b64283c67e7251eea814988741e6c08a12dc5754e13b2d4e388a05","abstract_canon_sha256":"23ecc6a3e8d8cf709a99a7ad82080ec21f44b1c1dc2ad6d1a84c425638b1e118"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:50:00.336998Z","signature_b64":"IZLead87qV7sElSkRHKAItdQvmyfKlEi9lZ0iYsc8FcfePEP+ZKJPnv6KRdYp6OPgaQVw3z3XbkeBDXt5tRkBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e354b205305fcff4e57432206ffaa44c01e0bd6fb0d53ad95700acc6c2730d3","last_reissued_at":"2026-07-05T03:50:00.336587Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:50:00.336587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Elimination of ringing artifacts by finite-element projection in FFT-based homogenization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cs.NA"],"primary_cat":"math.NA","authors_text":"Ali Falsafi, Indre J\\\"odicke, Ivana Pultarov\\'a, Jan Zeman, Lars Pastewka, Martin Ladeck\\'y, Richard J. Leute, Till Junge","submitted_at":"2021-05-07T14:49:38Z","abstract_excerpt":"Micromechanical homogenization is often carried out with Fourier-accelerated methods that are prone to ringing artifacts. We here generalize the compatibility projection introduced by Vond\\v{r}ejc, Zeman & Marek [Comput. Math. Appl. 68, 156 (2014)] beyond the Fourier basis. In particular, we formulate the compatibility projection for linear finite elements while maintaining Fourier-acceleration and the fast convergence properties of the original method. We demonstrate that this eliminates ringing artifacts and yields an efficient computational homogenization scheme that is equivalent to canoni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.03297","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2105.03297/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2105.03297","created_at":"2026-07-05T03:50:00.336647+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.03297v1","created_at":"2026-07-05T03:50:00.336647+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.03297","created_at":"2026-07-05T03:50:00.336647+00:00"},{"alias_kind":"pith_short_12","alias_value":"JY2UWICTAX6P","created_at":"2026-07-05T03:50:00.336647+00:00"},{"alias_kind":"pith_short_16","alias_value":"JY2UWICTAX6P6TSX","created_at":"2026-07-05T03:50:00.336647+00:00"},{"alias_kind":"pith_short_8","alias_value":"JY2UWICT","created_at":"2026-07-05T03:50:00.336647+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/JY2UWICTAX6P6TSXIMRAN75KIT","json":"https://pith.science/pith/JY2UWICTAX6P6TSXIMRAN75KIT.json","graph_json":"https://pith.science/api/pith-number/JY2UWICTAX6P6TSXIMRAN75KIT/graph.json","events_json":"https://pith.science/api/pith-number/JY2UWICTAX6P6TSXIMRAN75KIT/events.json","paper":"https://pith.science/paper/JY2UWICT"},"agent_actions":{"view_html":"https://pith.science/pith/JY2UWICTAX6P6TSXIMRAN75KIT","download_json":"https://pith.science/pith/JY2UWICTAX6P6TSXIMRAN75KIT.json","view_paper":"https://pith.science/paper/JY2UWICT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.03297&json=true","fetch_graph":"https://pith.science/api/pith-number/JY2UWICTAX6P6TSXIMRAN75KIT/graph.json","fetch_events":"https://pith.science/api/pith-number/JY2UWICTAX6P6TSXIMRAN75KIT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JY2UWICTAX6P6TSXIMRAN75KIT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JY2UWICTAX6P6TSXIMRAN75KIT/action/storage_attestation","attest_author":"https://pith.science/pith/JY2UWICTAX6P6TSXIMRAN75KIT/action/author_attestation","sign_citation":"https://pith.science/pith/JY2UWICTAX6P6TSXIMRAN75KIT/action/citation_signature","submit_replication":"https://pith.science/pith/JY2UWICTAX6P6TSXIMRAN75KIT/action/replication_record"}},"created_at":"2026-07-05T03:50:00.336647+00:00","updated_at":"2026-07-05T03:50:00.336647+00:00"}