{"id":"https://openalex.org/W3198272795","doi":"https://doi.org/10.1017/s0962492921000015","title":"Numerical homogenization beyond scale separation","display_name":"Numerical homogenization beyond scale separation","publication_year":2021,"publication_date":"2021-05-01","ids":{"openalex":"https://openalex.org/W3198272795","doi":"https://doi.org/10.1017/s0962492921000015","mag":"3198272795"},"language":"en","primary_location":{"id":"doi:10.1017/s0962492921000015","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0962492921000015","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/03C5F8C9AFB7E2180C05A9E8DBD8F525/S0962492921000015a.pdf/div-class-title-numerical-homogenization-beyond-scale-separation-div.pdf","source":{"id":"https://openalex.org/S124973578","display_name":"Acta Numerica","issn_l":"0962-4929","issn":["0962-4929","1474-0508"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Numerica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/03C5F8C9AFB7E2180C05A9E8DBD8F525/S0962492921000015a.pdf/div-class-title-numerical-homogenization-beyond-scale-separation-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084279955","display_name":"Robert Altmann","orcid":"https://orcid.org/0000-0002-4161-6704"},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Robert Altmann","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Augsburg, 86159 Augsburg, Germany E-mail:"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Augsburg, 86159 Augsburg, Germany E-mail:","institution_ids":["https://openalex.org/I179225836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061248986","display_name":"Patrick Henning","orcid":"https://orcid.org/0000-0002-6432-5504"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["DE","SE"],"is_corresponding":false,"raw_author_name":"Patrick Henning","raw_affiliation_strings":["Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden","Fakult\u00e4t f\u00fcr Mathematik, Ruhr-Universit\u00e4t Bochum, 44801 Bochum, Germany E-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Ruhr-Universit\u00e4t Bochum, 44801 Bochum, Germany E-mail:","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014228488","display_name":"Daniel Peterseim","orcid":"https://orcid.org/0000-0001-7213-556X"},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Peterseim","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Augsburg, 86159 Augsburg, Germany E-mail:"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Augsburg, 86159 Augsburg, Germany E-mail:","institution_ids":["https://openalex.org/I179225836"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084279955"],"corresponding_institution_ids":["https://openalex.org/I179225836"],"apc_list":null,"apc_paid":null,"fwci":8.4396,"has_fulltext":true,"cited_by_count":82,"citation_normalized_percentile":{"value":0.98057947,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"30","issue":null,"first_page":"1","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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":1.0,"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":0.9994999766349792,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.9300563335418701},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.7141890525817871},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6736610531806946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6239959597587585},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5580299496650696},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.5152493119239807},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4321343004703522},{"id":"https://openalex.org/keywords/elliptic-partial-differential-equation","display_name":"Elliptic partial differential equation","score":0.4249700605869293},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3782697916030884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33907878398895264},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1999104619026184}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.9300563335418701},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7141890525817871},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6736610531806946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6239959597587585},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5580299496650696},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.5152493119239807},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4321343004703522},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.4249700605869293},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3782697916030884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33907878398895264},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1999104619026184},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0962492921000015","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0962492921000015","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/03C5F8C9AFB7E2180C05A9E8DBD8F525/S0962492921000015a.pdf/div-class-title-numerical-homogenization-beyond-scale-separation-div.pdf","source":{"id":"https://openalex.org/S124973578","display_name":"Acta Numerica","issn_l":"0962-4929","issn":["0962-4929","1474-0508"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Numerica","raw_type":"journal-article"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:88855","is_oa":true,"landing_page_url":"https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-888558","pdf_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/88855","source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1017/s0962492921000015","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0962492921000015","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/03C5F8C9AFB7E2180C05A9E8DBD8F525/S0962492921000015a.pdf/div-class-title-numerical-homogenization-beyond-scale-separation-div.pdf","source":{"id":"https://openalex.org/S124973578","display_name":"Acta Numerica","issn_l":"0962-4929","issn":["0962-4929","1474-0508"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Numerica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2633756521","display_name":"Computational Random Multiscale Problems","funder_award_id":"865751","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4956428346","display_name":null,"funder_award_id":"Horizon 2020 research and innovatio","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5036817778","display_name":null,"funder_award_id":"European Union's Horizon 2020 research and innov","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8633428685","display_name":null,"funder_award_id":"European Union's Horizon 2020 research and innovat","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3198272795.pdf","grobid_xml":"https://content.openalex.org/works/W3198272795.grobid-xml"},"referenced_works_count":189,"referenced_works":["https://openalex.org/W1736531","https://openalex.org/W4737651","https://openalex.org/W20979434","https://openalex.org/W64026061","https://openalex.org/W410560092","https://openalex.org/W592368443","https://openalex.org/W628726389","https://openalex.org/W637647918","https://openalex.org/W1480707903","https://openalex.org/W1547249381","https://openalex.org/W1553150814","https://openalex.org/W1559226623","https://openalex.org/W1571497531","https://openalex.org/W1579967852","https://openalex.org/W1587551891","https://openalex.org/W1596437024","https://openalex.org/W1599423952","https://openalex.org/W1599798592","https://openalex.org/W1623422195","https://openalex.org/W1707232380","https://openalex.org/W1765831811","https://openalex.org/W1965130545","https://openalex.org/W1966480196","https://openalex.org/W1970934346","https://openalex.org/W1972576201","https://openalex.org/W1976143157","https://openalex.org/W1976509668","https://openalex.org/W1980404981","https://openalex.org/W1983515720","https://openalex.org/W1983731750","https://openalex.org/W1986120564","https://openalex.org/W1986473462","https://openalex.org/W1987394193","https://openalex.org/W1990238571","https://openalex.org/W1993348678","https://openalex.org/W1995796806","https://openalex.org/W1996233788","https://openalex.org/W1997703844","https://openalex.org/W2002791333","https://openalex.org/W2004485838","https://openalex.org/W2005047411","https://openalex.org/W2008303042","https://openalex.org/W2009628646","https://openalex.org/W2011473263","https://openalex.org/W2014983931","https://openalex.org/W2016365515","https://openalex.org/W2018190542","https://openalex.org/W2018426047","https://openalex.org/W2024798661","https://openalex.org/W2025124289","https://openalex.org/W2027239222","https://openalex.org/W2028434980","https://openalex.org/W2029508482","https://openalex.org/W2029918260","https://openalex.org/W2033331374","https://openalex.org/W2034705487","https://openalex.org/W2038330765","https://openalex.org/W2038727586","https://openalex.org/W2047826821","https://openalex.org/W2053695265","https://openalex.org/W2055031800","https://openalex.org/W2060368109","https://openalex.org/W2065713338","https://openalex.org/W2067514470","https://openalex.org/W2070006753","https://openalex.org/W2070033465","https://openalex.org/W2071208886","https://openalex.org/W2072113362","https://openalex.org/W2075193414","https://openalex.org/W2078045751","https://openalex.org/W2079298002","https://openalex.org/W2083281683","https://openalex.org/W2087828859","https://openalex.org/W2092256139","https://openalex.org/W2096137125","https://openalex.org/W2102835252","https://openalex.org/W2108533624","https://openalex.org/W2109690658","https://openalex.org/W2110649199","https://openalex.org/W2115253932","https://openalex.org/W2117866703","https://openalex.org/W2122765624","https://openalex.org/W2123835135","https://openalex.org/W2126028850","https://openalex.org/W2126087872","https://openalex.org/W2127004824","https://openalex.org/W2134813683","https://openalex.org/W2138940269","https://openalex.org/W2141484544","https://openalex.org/W2143783905","https://openalex.org/W2149810455","https://openalex.org/W2151177334","https://openalex.org/W2152799582","https://openalex.org/W2153532220","https://openalex.org/W2155224358","https://openalex.org/W2157721313","https://openalex.org/W2157935711","https://openalex.org/W2161525881","https://openalex.org/W2165016064","https://openalex.org/W2165173282","https://openalex.org/W2165677865","https://openalex.org/W2256669603","https://openalex.org/W2264002775","https://openalex.org/W2290528092","https://openalex.org/W2298381282","https://openalex.org/W2322615487","https://openalex.org/W2326205531","https://openalex.org/W2330160922","https://openalex.org/W2465076683","https://openalex.org/W2503721843","https://openalex.org/W2513676926","https://openalex.org/W2519971170","https://openalex.org/W2528180255","https://openalex.org/W2534129575","https://openalex.org/W2558661249","https://openalex.org/W2591607401","https://openalex.org/W2594657990","https://openalex.org/W2602823576","https://openalex.org/W2603660324","https://openalex.org/W2621716444","https://openalex.org/W2724669522","https://openalex.org/W2754136983","https://openalex.org/W2800692113","https://openalex.org/W2884474317","https://openalex.org/W2889973097","https://openalex.org/W2891222287","https://openalex.org/W2896556025","https://openalex.org/W2914572366","https://openalex.org/W2922049100","https://openalex.org/W2934411745","https://openalex.org/W2942035531","https://openalex.org/W2951618924","https://openalex.org/W2962711776","https://openalex.org/W2962849402","https://openalex.org/W2962874275","https://openalex.org/W2962883966","https://openalex.org/W2963017886","https://openalex.org/W2963033704","https://openalex.org/W2963597923","https://openalex.org/W2963634130","https://openalex.org/W2963691989","https://openalex.org/W2963942779","https://openalex.org/W2963961138","https://openalex.org/W2964082690","https://openalex.org/W2964141517","https://openalex.org/W2964197531","https://openalex.org/W2964263997","https://openalex.org/W2964269977","https://openalex.org/W2964768705","https://openalex.org/W2965428888","https://openalex.org/W2969468574","https://openalex.org/W2979712029","https://openalex.org/W2983666563","https://openalex.org/W3004625791","https://openalex.org/W3005125780","https://openalex.org/W3007093339","https://openalex.org/W3012226381","https://openalex.org/W3021722416","https://openalex.org/W3022489451","https://openalex.org/W3025479587","https://openalex.org/W3040146274","https://openalex.org/W3040228321","https://openalex.org/W3043048973","https://openalex.org/W3046457476","https://openalex.org/W3090500529","https://openalex.org/W3095387974","https://openalex.org/W3100409126","https://openalex.org/W3103045011","https://openalex.org/W3103355665","https://openalex.org/W3104006087","https://openalex.org/W3106381385","https://openalex.org/W3109896535","https://openalex.org/W3119774019","https://openalex.org/W3127873279","https://openalex.org/W3133818109","https://openalex.org/W3134737121","https://openalex.org/W3149667697","https://openalex.org/W3152831002","https://openalex.org/W3168833755","https://openalex.org/W3208930996","https://openalex.org/W4230846739","https://openalex.org/W4236548481","https://openalex.org/W4249303611","https://openalex.org/W4249945978","https://openalex.org/W4254432836","https://openalex.org/W4299521717","https://openalex.org/W4300943935","https://openalex.org/W6635920304","https://openalex.org/W6670068936"],"related_works":["https://openalex.org/W4388701281","https://openalex.org/W4243096424","https://openalex.org/W2062472350","https://openalex.org/W162905608","https://openalex.org/W184885699","https://openalex.org/W2582405793","https://openalex.org/W2516100293","https://openalex.org/W1559422666","https://openalex.org/W2497170703","https://openalex.org/W1995178279"],"abstract_inverted_index":{"Numerical":[0],"homogenization":[1,55,67],"is":[2],"a":[3,61,74,85,90,123],"methodology":[4],"for":[5,34,94,125],"the":[6,35,51,106],"computational":[7],"solution":[8],"of":[9,30,37,54,76,108],"multiscale":[10],"partial":[11,109],"differential":[12,110],"equations.":[13],"It":[14],"aims":[15],"at":[16],"reducing":[17],"complex":[18],"large-scale":[19],"problems":[20,59,72],"to":[21,58],"simplified":[22],"numerical":[23,66,98],"models":[24],"valid":[25],"on":[26,39],"some":[27],"target":[28],"scale":[29,63],"interest,":[31],"thereby":[32],"accounting":[33],"impact":[36],"features":[38],"smaller":[40],"scales":[41],"that":[42],"are":[43,56],"otherwise":[44],"not":[45],"resolved.":[46],"While":[47],"constructive":[48],"approaches":[49,82],"in":[50,84,117],"mathematical":[52],"theory":[53],"restricted":[57],"with":[60,73],"clear":[62],"separation,":[64],"modern":[65],"methods":[68],"can":[69],"accurately":[70],"handle":[71],"continuum":[75],"scales.":[77],"This":[78],"paper":[79],"reviews":[80],"such":[81],"embedded":[83],"historical":[86],"context":[87],"and":[88,97,120],"provides":[89],"unified":[91],"variational":[92],"framework":[93],"their":[95],"design":[96],"analysis.":[99],"Apart":[100],"from":[101],"prototypical":[102],"elliptic":[103],"model":[104],"problems,":[105],"class":[107],"equations":[111],"covered":[112],"here":[113],"includes":[114],"wave":[115],"scattering":[116],"heterogeneous":[118],"media":[119],"serves":[121],"as":[122],"template":[124],"more":[126],"general":[127],"multi-physics":[128],"problems.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":21},{"year":2024,"cited_by_count":21},{"year":2023,"cited_by_count":22},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}