{"id":"https://openalex.org/W2125086224","doi":"https://doi.org/10.3233/asy-2012-1104","title":"Homogenization results for elliptic problems in periodically perforated domains with mixed-type boundary conditions","display_name":"Homogenization results for elliptic problems in periodically perforated domains with mixed-type boundary conditions","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W2125086224","doi":"https://doi.org/10.3233/asy-2012-1104","mag":"2125086224"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2012-1104","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2012-1104","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","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/A5084752734","display_name":"Anca C\u01cep\u01ce\u0163\u00een\u01ce","orcid":null},"institutions":[{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Anca Capatina","raw_affiliation_strings":["Institute of Mathematics of the Romanian Academy, Bucharest, Romania. E-mails: {anca.capatina, horia.ene}@imar.ro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of the Romanian Academy, Bucharest, Romania. E-mails: {anca.capatina, horia.ene}@imar.ro","institution_ids":["https://openalex.org/I58077936"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113678494","display_name":"Horia I. Ene","orcid":null},"institutions":[{"id":"https://openalex.org/I185286233","display_name":"University of Pitesti","ror":"https://ror.org/058b16x44","country_code":"RO","type":"education","lineage":["https://openalex.org/I185286233"]},{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Horia Ene","raw_affiliation_strings":["Institute of Mathematics of the Romanian Academy, Bucharest, Romania. E-mails: {anca.capatina, horia.ene}@imar.ro","University of Pite\u015fti, Pite\u015fti, Rom\u00e2nia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of the Romanian Academy, Bucharest, Romania. E-mails: {anca.capatina, horia.ene}@imar.ro","institution_ids":["https://openalex.org/I58077936"]},{"raw_affiliation_string":"University of Pite\u015fti, Pite\u015fti, Rom\u00e2nia","institution_ids":["https://openalex.org/I185286233"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047675573","display_name":"Claudia Timofte","orcid":"https://orcid.org/0000-0003-1802-8426"},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Claudia Timofte","raw_affiliation_strings":["University of Bucharest, Faculty of Physics, Bucharest\u2013M\u0103gurele, Romania. E-mail: claudiatimofte@yahoo.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bucharest, Faculty of Physics, Bucharest\u2013M\u0103gurele, Romania. E-mail: claudiatimofte@yahoo.com","institution_ids":["https://openalex.org/I141595442"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084752734"],"corresponding_institution_ids":["https://openalex.org/I58077936"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.16547733,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"80","issue":"1-2","first_page":"45","last_page":"56"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11558","display_name":"Composite Material Mechanics","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9781000018119812,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.9335078001022339},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4640582799911499},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44049137830734253}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.9335078001022339},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4640582799911499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44049137830734253},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2012-1104","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2012-1104","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.5,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W2757910772","https://openalex.org/W4249473811","https://openalex.org/W2394422079","https://openalex.org/W2025913943","https://openalex.org/W166351930","https://openalex.org/W2312674383","https://openalex.org/W1979597421","https://openalex.org/W1492688905","https://openalex.org/W140119233"],"abstract_inverted_index":{"The":[0],"asymptotic":[1],"behaviour":[2],"of":[3,6,27],"a":[4,14,35,39,57,62],"class":[5],"elliptic":[7],"equations":[8],"with":[9],"highly":[10],"oscillating":[11],"coefficients,":[12],"in":[13,22],"perforated":[15],"periodic":[16,44],"domain,":[17],"is":[18],"analyzed.":[19],"We":[20],"consider,":[21],"each":[23],"period,":[24],"two":[25,54],"types":[26],"holes":[28],"and":[29,61],"we":[30,47],"impose,":[31],"on":[32],"their":[33],"boundaries,":[34],"Signorini":[36],"and,":[37],"respectively,":[38],"Neumann":[40],"condition.":[41],"Using":[42],"the":[43,50],"unfolding":[45],"method,":[46],"prove":[48],"that":[49],"limit":[51],"problem":[52],"contains":[53],"additional":[55],"terms,":[56],"right-hand":[58],"side":[59],"term":[60],"\u201cstrange\u201d":[63],"one.":[64]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}
