{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WFJRZPQMKVW2VDZXOO44RRC6LU","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":"bb96d589a858cb3e335da6d46684329360d2bed101032c8380ce44924746ade7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-10-21T17:17:27Z","title_canon_sha256":"c1d61a2fab645117b271b890a56fa474ca78bfd118aa85c734dd353829d9eea7"},"schema_version":"1.0","source":{"id":"1510.06343","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06343","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06343v2","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06343","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"WFJRZPQMKVW2","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WFJRZPQMKVW2VDZX","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WFJRZPQM","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:db5f4ca847d75875233b576f426f4d63102b4825928417be3b42d217a96c5caf","target":"graph","created_at":"2026-05-18T01:12:43Z","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":"In this paper, we couple regularization techniques with the adaptive $hp$-version of the boundary element method ($hp$-BEM) for the efficient numerical solution of linear elastic problems with nonmonotone contact boundary conditions. As a model example we treat the delamination of composite structures with a contaminated interface layer. This problem has a weak formulation in terms of a nonsmooth variational inequality. The resulting hemivariational inequality (HVI) is first regularized and then, discretized by an adaptive $hp$-BEM. We give conditions for the uniqueness of the solution and pro","authors_text":"Lothar Banz, Nina Ovcharova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-10-21T17:17:27Z","title":"On the coupling of regularization techniques and the boundary element method for a hemivariational inequality modelling a delamination problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06343","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":"sha256:14f288a19b969f7b7bd32d63be8f5fc12e66e19a4f2b5e51bab76c584d5e838e","target":"record","created_at":"2026-05-18T01:12:43Z","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":"bb96d589a858cb3e335da6d46684329360d2bed101032c8380ce44924746ade7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-10-21T17:17:27Z","title_canon_sha256":"c1d61a2fab645117b271b890a56fa474ca78bfd118aa85c734dd353829d9eea7"},"schema_version":"1.0","source":{"id":"1510.06343","kind":"arxiv","version":2}},"canonical_sha256":"b1531cbe0c556daa8f3773b9c8c45e5d3b233d88202d9175dcf69cd992d99b45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1531cbe0c556daa8f3773b9c8c45e5d3b233d88202d9175dcf69cd992d99b45","first_computed_at":"2026-05-18T01:12:43.376819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:43.376819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hW95Z0pggiqjTKJ/zZ2qj9myNRIsqWEJqwK2BThBscuBxCHP28Pw7dnLU9aLYjltatD716eaIJPm5TaMmjO/Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:43.377154Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.06343","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14f288a19b969f7b7bd32d63be8f5fc12e66e19a4f2b5e51bab76c584d5e838e","sha256:db5f4ca847d75875233b576f426f4d63102b4825928417be3b42d217a96c5caf"],"state_sha256":"2ace7a9c781227b139fd99f92840db420554d634aad12dbcbaf87d40be062e47"}