{"id":"https://openalex.org/W4405930285","doi":"https://doi.org/10.1007/978-3-031-74633-8_37","title":"Constructing Neural Forms for\u00a0Hard-Constraint PINNs with\u00a0Complex Dirichlet Boundaries","display_name":"Constructing Neural Forms for\u00a0Hard-Constraint PINNs with\u00a0Complex Dirichlet Boundaries","publication_year":2024,"publication_date":"2024-12-31","ids":{"openalex":"https://openalex.org/W4405930285","doi":"https://doi.org/10.1007/978-3-031-74633-8_37"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-74633-8_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-74633-8_37","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Computer and Information Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115718622","display_name":"Frank Ehebrecht","orcid":"https://orcid.org/0009-0001-5680-0256"},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Frank Ehebrecht","raw_affiliation_strings":["ROSEN Technology and Research Center GmbH, Lingen, Germany","Semantic Information Systems Group, Osnabr\u00fcck University, Osnabr\u00fcck, Germany"],"affiliations":[{"raw_affiliation_string":"ROSEN Technology and Research Center GmbH, Lingen, Germany","institution_ids":[]},{"raw_affiliation_string":"Semantic Information Systems Group, Osnabr\u00fcck University, Osnabr\u00fcck, Germany","institution_ids":["https://openalex.org/I170658231"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115718623","display_name":"Toni Scharle","orcid":"https://orcid.org/0009-0007-8306-1042"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Toni Scharle","raw_affiliation_strings":["ROSEN Technology and Research Center GmbH, Lingen, Germany"],"affiliations":[{"raw_affiliation_string":"ROSEN Technology and Research Center GmbH, Lingen, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011835245","display_name":"Martin Atzmueller","orcid":"https://orcid.org/0000-0002-2480-6901"},"institutions":[{"id":"https://openalex.org/I33256026","display_name":"German Research Centre for Artificial Intelligence","ror":"https://ror.org/01ayc5b57","country_code":"DE","type":"funder","lineage":["https://openalex.org/I33256026"]},{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Atzmueller","raw_affiliation_strings":["German Research Center for AI (DFKI), Osnabr\u00fcck, Germany","Semantic Information Systems Group, Osnabr\u00fcck University, Osnabr\u00fcck, Germany"],"affiliations":[{"raw_affiliation_string":"German Research Center for AI (DFKI), Osnabr\u00fcck, Germany","institution_ids":["https://openalex.org/I33256026"]},{"raw_affiliation_string":"Semantic Information Systems Group, Osnabr\u00fcck University, Osnabr\u00fcck, Germany","institution_ids":["https://openalex.org/I170658231"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5115718622"],"corresponding_institution_ids":["https://openalex.org/I170658231"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.75063398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"501","last_page":"510"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9625999927520752,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.700108528137207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5769007205963135},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35634034872055054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2624050974845886},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07118010520935059}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.700108528137207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5769007205963135},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35634034872055054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2624050974845886},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07118010520935059}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-74633-8_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-74633-8_37","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Computer and Information Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W2158985775","https://openalex.org/W2229412420","https://openalex.org/W2948551291","https://openalex.org/W3016703299","https://openalex.org/W3026222427","https://openalex.org/W3128157635","https://openalex.org/W3163993681","https://openalex.org/W3173549089","https://openalex.org/W3183994952","https://openalex.org/W3208953217","https://openalex.org/W4285133117","https://openalex.org/W4288039037","https://openalex.org/W4307154444","https://openalex.org/W6600194071","https://openalex.org/W6602268946","https://openalex.org/W6827283187"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
