{"id":"https://openalex.org/W1983122553","doi":"https://doi.org/10.1137/120900332","title":"Oversampling for the Multiscale Finite Element Method","display_name":"Oversampling for the Multiscale Finite Element Method","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1983122553","doi":"https://doi.org/10.1137/120900332","mag":"1983122553"},"language":"en","primary_location":{"id":"doi:10.1137/120900332","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120900332","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1211.5954","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061248986","display_name":"Patrick Henning","orcid":"https://orcid.org/0000-0002-6432-5504"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Patrick Henning","raw_affiliation_strings":["Institut f\u00fcr Numerische und Angewandte Mathematik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, D-48149 M\u00fcnster, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, D-48149 M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]}]},{"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/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Peterseim","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061248986"],"corresponding_institution_ids":["https://openalex.org/I22465464"],"apc_list":null,"apc_paid":null,"fwci":14.0544,"has_fulltext":false,"cited_by_count":173,"citation_normalized_percentile":{"value":0.99171096,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"11","issue":"4","first_page":"1149","last_page":"1175"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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"}},{"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"}}],"keywords":[{"id":"https://openalex.org/keywords/oversampling","display_name":"Oversampling","score":0.9453214406967163},{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.767949640750885},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7460972666740417},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5702182054519653},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5299240946769714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5000126361846924},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.458916038274765},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4466729164123535},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.4395652711391449},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3983445167541504},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3802783489227295},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3700588643550873},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35480499267578125},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.334745317697525},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13669902086257935},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12677958607673645},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.08379116654396057}],"concepts":[{"id":"https://openalex.org/C197323446","wikidata":"https://www.wikidata.org/wiki/Q331222","display_name":"Oversampling","level":3,"score":0.9453214406967163},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.767949640750885},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7460972666740417},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5702182054519653},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5299240946769714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5000126361846924},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.458916038274765},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4466729164123535},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4395652711391449},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3983445167541504},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3802783489227295},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3700588643550873},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35480499267578125},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.334745317697525},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13669902086257935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12677958607673645},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.08379116654396057},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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":5,"locations":[{"id":"doi:10.1137/120900332","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120900332","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1211.5954","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1211.5954","pdf_url":"https://arxiv.org/pdf/1211.5954","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:10.1.1.394.4840","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.394.4840","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://wwwmath.uni-muenster.de/num/publications/2012/HP12/oversampling-msfem-arXiv.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.757.702","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.757.702","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/1211.5954.pdf","raw_type":"text"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:54783","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/54783","pdf_url":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1211.5954","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1211.5954","pdf_url":"https://arxiv.org/pdf/1211.5954","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W579526650","https://openalex.org/W1577413527","https://openalex.org/W1599423952","https://openalex.org/W1965130545","https://openalex.org/W1965549324","https://openalex.org/W1965745583","https://openalex.org/W1966480196","https://openalex.org/W1972576201","https://openalex.org/W1980404981","https://openalex.org/W1981063161","https://openalex.org/W1990157709","https://openalex.org/W1995578999","https://openalex.org/W1997703844","https://openalex.org/W2005788407","https://openalex.org/W2006521263","https://openalex.org/W2029918260","https://openalex.org/W2035358778","https://openalex.org/W2038330765","https://openalex.org/W2042892160","https://openalex.org/W2051043245","https://openalex.org/W2052275102","https://openalex.org/W2060368109","https://openalex.org/W2068370589","https://openalex.org/W2070033465","https://openalex.org/W2076074132","https://openalex.org/W2076488661","https://openalex.org/W2076750172","https://openalex.org/W2078045751","https://openalex.org/W2092614367","https://openalex.org/W2109690658","https://openalex.org/W2131676152","https://openalex.org/W2138940269","https://openalex.org/W2141484544","https://openalex.org/W2155566311","https://openalex.org/W2418148341","https://openalex.org/W2963529021","https://openalex.org/W3147515309","https://openalex.org/W4236548481","https://openalex.org/W4249303611"],"related_works":["https://openalex.org/W2766503024","https://openalex.org/W2781247653","https://openalex.org/W4206637278","https://openalex.org/W4386005305","https://openalex.org/W3082051559","https://openalex.org/W4386214543","https://openalex.org/W1969988626","https://openalex.org/W2141301039","https://openalex.org/W3173198409","https://openalex.org/W1571672972"],"abstract_inverted_index":{"This":[0,62,75],"paper":[1],"reviews":[2],"standard":[3],"oversampling":[4,22,93],"strategies":[5],"as":[6],"performed":[7,24],"in":[8,25,69],"the":[9,21,26,46,65,70,87,105],"multiscale":[10,67,89],"finite":[11,35,59],"element":[12,36,60],"method":[13,68,90],"(MsFEM).":[14],"Common":[15],"to":[16,30,79,103],"those":[17],"approaches":[18],"is":[19,23],"that":[20,49],"full":[27],"space":[28],"restricted":[29],"a":[31,80],"patch":[32],"including":[33],"coarse":[34,58],"functions.":[37,61],"We":[38],"suggest,":[39],"by":[40],"contrast,":[41],"performing":[42],"local":[43],"computations":[44],"with":[45,91,114],"additional":[47],"constraint":[48],"trial":[50],"and":[51],"test":[52],"functions":[53],"be":[54],"linear":[55],"independent":[56],"from":[57],"approach":[63],"reinterprets":[64],"variational":[66],"context":[71],"of":[72,109],"computational":[73],"homogenization.":[74],"connection":[76],"gives":[77],"rise":[78],"general":[81],"fully":[82],"discrete":[83],"error":[84],"analysis":[85],"for":[86,111],"proposed":[88],"constrained":[92],"without":[94],"any":[95],"resonance":[96],"effects.":[97],"In":[98],"particular,":[99],"we":[100],"are":[101],"able":[102],"give":[104],"first":[106],"rigorous":[107],"proof":[108],"convergence":[110],"an":[112],"MsFEM":[113],"oversampling.":[115]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":23},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
