{"id":"https://openalex.org/W2032948538","doi":"https://doi.org/10.1155/2013/764165","title":"Superconvergence Analysis of a Multiscale Finite Element Method for Elliptic Problems with Rapidly Oscillating Coefficients","display_name":"Superconvergence Analysis of a Multiscale Finite Element Method for Elliptic Problems with Rapidly Oscillating Coefficients","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2032948538","doi":"https://doi.org/10.1155/2013/764165","mag":"2032948538"},"language":"en","primary_location":{"id":"doi:10.1155/2013/764165","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/764165","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/764165.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/764165.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065954569","display_name":"Xiaofei Guan","orcid":"https://orcid.org/0000-0002-2062-2486"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaofei Guan","raw_affiliation_strings":["Department of Mathematics, Tongji University, Shanghai 200092, China","Department of Mathematics, TongJi University, Shanghai, 200092, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Department of Mathematics, TongJi University, Shanghai, 200092, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100344618","display_name":"Xiaoling Wang","orcid":"https://orcid.org/0000-0001-7692-5788"},"institutions":[{"id":"https://openalex.org/I168673124","display_name":"Tianjin Chengjian University","ror":"https://ror.org/01d0bkz51","country_code":"CN","type":"education","lineage":["https://openalex.org/I168673124"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoling Wang","raw_affiliation_strings":["Department of Fundamental Subject, Tianjin Institute of Urban Construction, Tianjin 300384, China"],"affiliations":[{"raw_affiliation_string":"Department of Fundamental Subject, Tianjin Institute of Urban Construction, Tianjin 300384, China","institution_ids":["https://openalex.org/I168673124"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089338846","display_name":"Cheng Wang","orcid":"https://orcid.org/0000-0002-3440-1596"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Wang","raw_affiliation_strings":["Department of Mathematics, Tongji University, Shanghai 200092, China","Department of Mathematics, TongJi University, Shanghai, 200092, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Department of Mathematics, TongJi University, Shanghai, 200092, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100349358","display_name":"Xian Liu","orcid":"https://orcid.org/0009-0001-6931-752X"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xian Liu","raw_affiliation_strings":["Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China","Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China;"],"affiliations":[{"raw_affiliation_string":"Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China;","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5065954569"],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09840939,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"8"},"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":0.9995999932289124,"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":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.9560108780860901},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7125973701477051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5984950661659241},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.513545036315918},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4704902172088623},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.44708049297332764},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4427139163017273},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2101045846939087}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.9560108780860901},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7125973701477051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5984950661659241},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.513545036315918},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4704902172088623},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.44708049297332764},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4427139163017273},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2101045846939087},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/764165","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/764165","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/764165.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394807866","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394807866","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:764165","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/764165.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:78240a53ce0f43f1beddeb93eb20998c","is_oa":true,"landing_page_url":"https://doaj.org/article/78240a53ce0f43f1beddeb93eb20998c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/764165","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/764165","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/764165.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2059240121","display_name":null,"funder_award_id":"2011CB013800","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2776708776","display_name":null,"funder_award_id":"2011CB013800","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4420198728","display_name":null,"funder_award_id":"11101311","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4871726476","display_name":null,"funder_award_id":"2011CB013800)","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G4895991684","display_name":null,"funder_award_id":"973 Program: 2011CB013800","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5262524592","display_name":null,"funder_award_id":"11126132","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7129907147","display_name":null,"funder_award_id":"(973 Program","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7349814933","display_name":null,"funder_award_id":"50908167","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8678228759","display_name":null,"funder_award_id":"50838004","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"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2032948538.pdf","grobid_xml":"https://content.openalex.org/works/W2032948538.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W650857255","https://openalex.org/W1966480196","https://openalex.org/W1987581101","https://openalex.org/W1993533603","https://openalex.org/W2027239222","https://openalex.org/W4249303611","https://openalex.org/W4297922768"],"related_works":["https://openalex.org/W2094577950","https://openalex.org/W2031157121","https://openalex.org/W1565666028","https://openalex.org/W2891538916","https://openalex.org/W2160252404","https://openalex.org/W2964478211","https://openalex.org/W1002850520","https://openalex.org/W2068173234","https://openalex.org/W2133690079","https://openalex.org/W2111215486"],"abstract_inverted_index":{"A":[0],"new":[1],"multiscale":[2],"finite":[3],"element":[4],"method":[5,19],"is":[6,20,47,82],"presented":[7],"for":[8,29],"solving":[9],"the":[10,30,37,41,44,61,73,90],"elliptic":[11],"equations":[12],"with":[13,89],"rapidly":[14],"oscillating":[15,45],"coefficients.":[16],"The":[17],"proposed":[18],"based":[21],"on":[22],"asymptotic":[23],"analysis":[24],"and":[25,75,80],"careful":[26],"numerical":[27,66],"treatments":[28],"boundary":[31],"corrector":[32],"terms":[33],"by":[34],"virtue":[35],"of":[36,77],"recovery":[38],"technique.":[39],"Under":[40],"assumption":[42],"that":[43,84],"coefficient":[46],"periodic,":[48],"some":[49,65],"superconvergence":[50],"results":[51],"are":[52,68],"derived,":[53],"which":[54],"seem":[55],"to":[56,71],"be":[57],"never":[58],"discovered":[59],"in":[60],"previous":[62],"literature.":[63],"Finally,":[64],"experiments":[67],"carried":[69],"out":[70],"demonstrate":[72],"efficiency":[74],"accuracy":[76],"this":[78],"method,":[79],"it":[81],"seen":[83],"they":[85],"agree":[86],"very":[87],"well":[88],"analytical":[91],"result.":[92]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
