{"id":"https://openalex.org/W3210786456","doi":"https://doi.org/10.1137/21m1389900","title":"Iterated Numerical Homogenization for MultiScale Elliptic Equations with Monotone Nonlinearity","display_name":"Iterated Numerical Homogenization for MultiScale Elliptic Equations with Monotone Nonlinearity","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3210786456","doi":"https://doi.org/10.1137/21m1389900","mag":"3210786456"},"language":"en","primary_location":{"id":"doi:10.1137/21m1389900","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1389900","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 & Simulation","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/A5100619253","display_name":"Xinliang Liu","orcid":"https://orcid.org/0000-0003-1020-2397"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]},{"id":"https://openalex.org/I4210158445","display_name":"Institute of Natural Science","ror":"https://ror.org/004tze884","country_code":"KP","type":"education","lineage":["https://openalex.org/I4210158445"]}],"countries":["HK","KP"],"is_corresponding":true,"raw_author_name":"Xinliang Liu","raw_affiliation_strings":[".HK DEPARTMENT OF MATHEMATICS, THE CHINESE UNIVERSITY OF HONG KONG, SHATIN, HONG KONG","CN INSTITUTE OF NATURAL SCIENCES, SCHOOL OF MATHEMATICAL SCIENCES, AND MOE-LSC, SHANGHAI JIAO TONG UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":".HK DEPARTMENT OF MATHEMATICS, THE CHINESE UNIVERSITY OF HONG KONG, SHATIN, HONG KONG","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"CN INSTITUTE OF NATURAL SCIENCES, SCHOOL OF MATHEMATICAL SCIENCES, AND MOE-LSC, SHANGHAI JIAO TONG UNIVERSITY","institution_ids":["https://openalex.org/I4210158445"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078042062","display_name":"Eric T. Chung","orcid":"https://orcid.org/0000-0002-3096-3399"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]},{"id":"https://openalex.org/I4210158445","display_name":"Institute of Natural Science","ror":"https://ror.org/004tze884","country_code":"KP","type":"education","lineage":["https://openalex.org/I4210158445"]}],"countries":["HK","KP"],"is_corresponding":false,"raw_author_name":"Eric Chung","raw_affiliation_strings":[".HK DEPARTMENT OF MATHEMATICS, THE CHINESE UNIVERSITY OF HONG KONG, SHATIN, HONG KONG","CN INSTITUTE OF NATURAL SCIENCES, SCHOOL OF MATHEMATICAL SCIENCES, AND MOE-LSC, SHANGHAI JIAO TONG UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":".HK DEPARTMENT OF MATHEMATICS, THE CHINESE UNIVERSITY OF HONG KONG, SHATIN, HONG KONG","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"CN INSTITUTE OF NATURAL SCIENCES, SCHOOL OF MATHEMATICAL SCIENCES, AND MOE-LSC, SHANGHAI JIAO TONG UNIVERSITY","institution_ids":["https://openalex.org/I4210158445"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100699231","display_name":"Lei Zhang","orcid":"https://orcid.org/0000-0002-2917-9652"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lei Zhang","raw_affiliation_strings":["LZHANG2012"],"raw_orcid":"https://orcid.org/0000-0002-2917-9652","affiliations":[{"raw_affiliation_string":"LZHANG2012","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100619253"],"corresponding_institution_ids":["https://openalex.org/I177725633","https://openalex.org/I4210158445"],"apc_list":null,"apc_paid":null,"fwci":0.6056,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73219383,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"19","issue":"4","first_page":"1601","last_page":"1632"},"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":0.9994000196456909,"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":0.9340695142745972},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.8154991269111633},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6945515275001526},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6381581425666809},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5924816727638245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5519767999649048},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4978506565093994},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37773633003234863},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36111587285995483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31191420555114746},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15555354952812195},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07296493649482727},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06644049286842346}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.9340695142745972},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.8154991269111633},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6945515275001526},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6381581425666809},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5924816727638245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5519767999649048},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4978506565093994},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37773633003234863},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36111587285995483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31191420555114746},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15555354952812195},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07296493649482727},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06644049286842346},{"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},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1389900","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1389900","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 & Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4673460526","display_name":null,"funder_award_id":"11861131004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6319611760","display_name":null,"funder_award_id":"11871339","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1826824261","https://openalex.org/W1964524533","https://openalex.org/W1971171468","https://openalex.org/W1975957729","https://openalex.org/W1980404981","https://openalex.org/W1982175859","https://openalex.org/W1990157709","https://openalex.org/W1994554016","https://openalex.org/W1995578999","https://openalex.org/W1997640799","https://openalex.org/W1998894128","https://openalex.org/W2006521263","https://openalex.org/W2011224005","https://openalex.org/W2027239222","https://openalex.org/W2033009194","https://openalex.org/W2033331374","https://openalex.org/W2033468335","https://openalex.org/W2034705487","https://openalex.org/W2038490905","https://openalex.org/W2061988259","https://openalex.org/W2068928593","https://openalex.org/W2078045751","https://openalex.org/W2079427132","https://openalex.org/W2080551508","https://openalex.org/W2089773056","https://openalex.org/W2101494568","https://openalex.org/W2114051217","https://openalex.org/W2121516958","https://openalex.org/W2126028850","https://openalex.org/W2128778363","https://openalex.org/W2138687495","https://openalex.org/W2145062249","https://openalex.org/W2151796084","https://openalex.org/W2153317684","https://openalex.org/W2154122281","https://openalex.org/W2157935711","https://openalex.org/W2158189140","https://openalex.org/W2411049225","https://openalex.org/W2599374588","https://openalex.org/W2753076148","https://openalex.org/W2764051196","https://openalex.org/W2770990707","https://openalex.org/W2807389341","https://openalex.org/W2810695372","https://openalex.org/W2921037319","https://openalex.org/W2962846611","https://openalex.org/W2963529021","https://openalex.org/W2963634130","https://openalex.org/W2963691989","https://openalex.org/W2986376811","https://openalex.org/W3008450939","https://openalex.org/W3100150607","https://openalex.org/W3103355665","https://openalex.org/W3214098784","https://openalex.org/W4212972812","https://openalex.org/W4251366623"],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W140119233","https://openalex.org/W2757910772","https://openalex.org/W4249473811","https://openalex.org/W2138687495","https://openalex.org/W2889856794","https://openalex.org/W2606574101","https://openalex.org/W3098536285","https://openalex.org/W2952183507","https://openalex.org/W2101393121"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"4":[17],"January":[18],"2021Accepted:":[19],"06":[20],"July":[21],"2021Published":[22],"online:":[23],"04":[24],"November":[25],"2021Keywordsnumerical":[26],"homogenization,":[27],"multiscale":[28],"elliptic":[29],"problem,":[30],"monotone":[31],"nonlinearity,":[32],"$p$-Laplacian,":[33],"regularization,":[34],"sparse":[35],"updatingAMS":[36],"Subject":[37],"Headings65N99Publication":[38],"DataISSN":[39],"(print):":[40],"1540-3459ISSN":[41],"(online):":[42],"1540-3467Publisher:":[43],"Society":[44],"for":[45],"Industrial":[46],"and":[47],"Applied":[48],"MathematicsCODEN:":[49],"mmsubt":[50]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}