{"id":"https://openalex.org/W2039055469","doi":"https://doi.org/10.1007/s10208-015-9246-z","title":"Reduction in the Resonance Error in Numerical Homogenization\u00a0II: Correctors and Extrapolation","display_name":"Reduction in the Resonance Error in Numerical Homogenization\u00a0II: Correctors and Extrapolation","publication_year":2015,"publication_date":"2015-02-18","ids":{"openalex":"https://openalex.org/W2039055469","doi":"https://doi.org/10.1007/s10208-015-9246-z","mag":"2039055469"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-015-9246-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-015-9246-z","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1409.1155","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065138089","display_name":"Antoine Gloria","orcid":"https://orcid.org/0000-0001-7502-606X"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]},{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]}],"countries":["BE","FR"],"is_corresponding":true,"raw_author_name":"Antoine Gloria","raw_affiliation_strings":["Project-Team MEPHYSTO, Inria Lille - Nord Europe, Villeneuve d\u2019Ascq, France","Universit\u00e9 Libre de Bruxelles (ULB), Brussels, Belgium","Quantitative methods for stochastic models in physics","D\u00e9partement de Math\u00e9matique [Bruxelles]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Project-Team MEPHYSTO, Inria Lille - Nord Europe, Villeneuve d\u2019Ascq, France","institution_ids":["https://openalex.org/I4210138412"]},{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles (ULB), Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Quantitative methods for stochastic models in physics","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matique [Bruxelles]","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077405468","display_name":"Zakaria Habibi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Zakaria Habibi","raw_affiliation_strings":["Project-Team MEPHYSTO, Inria Lille - Nord Europe, Villeneuve d\u2019Ascq, France","Quantitative methods for stochastic models in physics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Project-Team MEPHYSTO, Inria Lille - Nord Europe, Villeneuve d\u2019Ascq, France","institution_ids":["https://openalex.org/I4210138412"]},{"raw_affiliation_string":"Quantitative methods for stochastic models in physics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065138089"],"corresponding_institution_ids":["https://openalex.org/I132053463","https://openalex.org/I4210138412"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7646,"has_fulltext":true,"cited_by_count":35,"citation_normalized_percentile":{"value":0.85433624,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"16","issue":"1","first_page":"217","last_page":"296"},"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":0.9991999864578247,"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":0.9983000159263611,"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":0.8018550872802734},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.772503674030304},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.7112049460411072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7099044919013977},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4623154103755951},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4158865809440613},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3709610402584076},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33993738889694214},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21644163131713867},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13827550411224365}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8018550872802734},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.772503674030304},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.7112049460411072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7099044919013977},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4623154103755951},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4158865809440613},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3709610402584076},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33993738889694214},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21644163131713867},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13827550411224365},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10208-015-9246-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-015-9246-z","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1409.1155","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.1155","pdf_url":"https://arxiv.org/pdf/1409.1155","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:arXiv.org:1409.1155","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1409.1155","pdf_url":"https://arxiv.org/pdf/1409.1155","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.740.377","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.740.377","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1409.1155.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00933234v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00933234","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Foundations of Computational Mathematics, 2016, 16 (1), pp.217--296. ⟨10.1007/s10208-015-9246-z⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/226541","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/226541","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Foundations of computational mathematics, 16 (1","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1409.1155","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.1155","pdf_url":"https://arxiv.org/pdf/1409.1155","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1390923","https://openalex.org/W39412911","https://openalex.org/W377201621","https://openalex.org/W1637323070","https://openalex.org/W1965130545","https://openalex.org/W1965745583","https://openalex.org/W1966480196","https://openalex.org/W1972576201","https://openalex.org/W1974309308","https://openalex.org/W1983122553","https://openalex.org/W2003171158","https://openalex.org/W2008588630","https://openalex.org/W2010942428","https://openalex.org/W2027239222","https://openalex.org/W2029450279","https://openalex.org/W2029918260","https://openalex.org/W2033331374","https://openalex.org/W2034705487","https://openalex.org/W2035358778","https://openalex.org/W2038330765","https://openalex.org/W2039946170","https://openalex.org/W2042892160","https://openalex.org/W2045972744","https://openalex.org/W2070006753","https://openalex.org/W2107101459","https://openalex.org/W2121999212","https://openalex.org/W2132741004","https://openalex.org/W2141484544","https://openalex.org/W2170337776","https://openalex.org/W2468414760","https://openalex.org/W2963529021","https://openalex.org/W2963707073","https://openalex.org/W3098261839","https://openalex.org/W3103355665","https://openalex.org/W3214098784","https://openalex.org/W4249303611"],"related_works":["https://openalex.org/W1968270095","https://openalex.org/W2220129715","https://openalex.org/W4296478327","https://openalex.org/W2042397106","https://openalex.org/W4361730764","https://openalex.org/W1965029248","https://openalex.org/W2333625343","https://openalex.org/W1960072520","https://openalex.org/W2023776155","https://openalex.org/W2387596242"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-13T07:31:44.756512","created_date":"2025-10-10T00:00:00"}