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For non-orientable meshes, no solution or implementation has been available to date. The problem statement and corresponding algorithms are described in great detail. As a model problem, the time-harmonic Maxwell\u2019s equations are adopted because N\u00e9d\u00e9lec elements constitute their natural discretization. The algorithms and implementation are demonstrated through two numerical examples on different uniformly and adaptively refined meshes. The implementation is performed within the finite element library\n                    <jats:monospace>deal.II<\/jats:monospace>\n                    .\n                  <\/jats:p>","DOI":"10.1145\/3766903","type":"journal-article","created":{"date-parts":[[2025,9,10]],"date-time":"2025-09-10T14:04:11Z","timestamp":1757513051000},"page":"1-20","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Algorithmic Realization of the Solution to the Sign Conflict\u00a0Problem for Hanging Nodes on Hp-Hexahedral N\u00e9d\u00e9lec Elements"],"prefix":"10.1145","volume":"51","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0923-7413","authenticated-orcid":false,"given":"Sebastian","family":"Kinnewig","sequence":"first","affiliation":[{"name":"Institute of Applied Mathematics, Leibniz University Hannover, Hannover, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1102-6332","authenticated-orcid":false,"given":"Thomas","family":"Wick","sequence":"additional","affiliation":[{"name":"Institute of Applied Mathematics, Leibniz University Hannover, Hannover, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9411-8701","authenticated-orcid":false,"given":"Sven","family":"Beuchler","sequence":"additional","affiliation":[{"name":"Institute of Applied Mathematics, Leibniz University Hannover, Hannover, Germany"}]}],"member":"320","published-online":{"date-parts":[[2025,12,12]]},"reference":[{"key":"e_1_3_3_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(01)00259-6"},{"key":"e_1_3_3_3_2","doi-asserted-by":"crossref","DOI":"10.1002\/9781118032824","volume-title":"A Posteriori Error Estimation in Finite Element Analysis","author":"Ainsworth Mark","year":"2000","unstructured":"Mark Ainsworth and John T. 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