{"id":"https://openalex.org/W2038213226","doi":"https://doi.org/10.1007/s00211-005-0614-5","title":"Finite element approximation of multi-scale elliptic problems using patches of elements","display_name":"Finite element approximation of multi-scale elliptic problems using patches of elements","publication_year":2005,"publication_date":"2005-07-18","ids":{"openalex":"https://openalex.org/W2038213226","doi":"https://doi.org/10.1007/s00211-005-0614-5","mag":"2038213226"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-005-0614-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0614-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/record/89296/files/211_2005_Article_614.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056887719","display_name":"Roland Glowinski","orcid":null},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roland Glowinski","raw_affiliation_strings":["Department of Mathematics, University of Houston, 4800 Calhoun Road, Houston, Texas, 77204-3008, USA","Department of Mathematics, University of Houston, Texas, USA 77204-3008#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston, 4800 Calhoun Road, Houston, Texas, 77204-3008, USA","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"Department of Mathematics, University of Houston, Texas, USA 77204-3008#TAB#","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058245677","display_name":"Jiwen He","orcid":"https://orcid.org/0000-0001-5751-6698"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiwen He","raw_affiliation_strings":["Department of Mathematics, University of Houston, 4800 Calhoun Road, Houston, Texas, 77204-3008, USA","Department of Mathematics, University of Houston, Texas, USA 77204-3008#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston, 4800 Calhoun Road, Houston, Texas, 77204-3008, USA","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"Department of Mathematics, University of Houston, Texas, USA 77204-3008#TAB#","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049499514","display_name":"Alexei Lozinski","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Alexei Lozinski","raw_affiliation_strings":["Section of Mathematics, Swiss Federal Institute of Technology, 1015, Lausanne, Switzerland","Section of Mathematics, Swiss Federal Institute of Technology, Lausanne, Switzerland 1015#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Section of Mathematics, Swiss Federal Institute of Technology, 1015, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Section of Mathematics, Swiss Federal Institute of Technology, Lausanne, Switzerland 1015#TAB#","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113449031","display_name":"Jacques Rappaz","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jacques Rappaz","raw_affiliation_strings":["Section of Mathematics, Swiss Federal Institute of Technology, 1015, Lausanne, Switzerland","Section of Mathematics, Swiss Federal Institute of Technology, Lausanne, Switzerland 1015#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Section of Mathematics, Swiss Federal Institute of Technology, 1015, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Section of Mathematics, Swiss Federal Institute of Technology, Lausanne, Switzerland 1015#TAB#","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021677617","display_name":"Jo\u00ebl Wagner","orcid":"https://orcid.org/0000-0002-3712-5494"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jo\u00ebl Wagner","raw_affiliation_strings":["Section of Mathematics, Swiss Federal Institute of Technology, 1015, Lausanne, Switzerland","Section of Mathematics, Swiss Federal Institute of Technology, Lausanne, Switzerland 1015#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Section of Mathematics, Swiss Federal Institute of Technology, 1015, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Section of Mathematics, Swiss Federal Institute of Technology, Lausanne, Switzerland 1015#TAB#","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.5238,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.95764921,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"101","issue":"4","first_page":"663","last_page":"687"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"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/mathematics","display_name":"Mathematics","score":0.6014609932899475},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5908970236778259},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.56684410572052},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5631234049797058},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5379956364631653},{"id":"https://openalex.org/keywords/elliptic-operator","display_name":"Elliptic operator","score":0.5249139070510864},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5234952569007874},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4862724542617798},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.46668940782546997},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4628191888332367},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31941449642181396},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18974560499191284},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05984857678413391}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6014609932899475},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5908970236778259},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.56684410572052},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5631234049797058},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5379956364631653},{"id":"https://openalex.org/C70610323","wikidata":"https://www.wikidata.org/wiki/Q427625","display_name":"Elliptic operator","level":2,"score":0.5249139070510864},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5234952569007874},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4862724542617798},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.46668940782546997},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4628191888332367},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31941449642181396},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18974560499191284},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05984857678413391},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00211-005-0614-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0614-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.tind.io:89296","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/233741","pdf_url":"https://infoscience.epfl.ch/record/89296/files/211_2005_Article_614.pdf","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"research article"},{"id":"pmh:oai:HAL:hal-00113130v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00113130","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik, 2005, 101, pp.663-687","raw_type":"Journal articles"},{"id":"pmh:oai:doc.rero.ch:315403","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400148","display_name":"reroDoc Digital Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:infoscience.epfl.ch:89296","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/89296","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"}],"best_oa_location":{"id":"pmh:oai:infoscience.tind.io:89296","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/233741","pdf_url":"https://infoscience.epfl.ch/record/89296/files/211_2005_Article_614.pdf","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"research article"},"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2038213226.pdf"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W88931730","https://openalex.org/W101816209","https://openalex.org/W124100455","https://openalex.org/W186310706","https://openalex.org/W1090495657","https://openalex.org/W1527762405","https://openalex.org/W1530115438","https://openalex.org/W1542243431","https://openalex.org/W1595782612","https://openalex.org/W1668829611","https://openalex.org/W1973665814","https://openalex.org/W1973685600","https://openalex.org/W1981139871","https://openalex.org/W1982458994","https://openalex.org/W1994696552","https://openalex.org/W2000582360","https://openalex.org/W2009441498","https://openalex.org/W2017085690","https://openalex.org/W2018685527","https://openalex.org/W2033268267","https://openalex.org/W2033712646","https://openalex.org/W2036180496","https://openalex.org/W2040390099","https://openalex.org/W2041093005","https://openalex.org/W2042128780","https://openalex.org/W2059340658","https://openalex.org/W2062246266","https://openalex.org/W2064237339","https://openalex.org/W2064454779","https://openalex.org/W2065867295","https://openalex.org/W2066610136","https://openalex.org/W2066927514","https://openalex.org/W2073100613","https://openalex.org/W2074189597","https://openalex.org/W2080474884","https://openalex.org/W2083054768","https://openalex.org/W2094225089","https://openalex.org/W2150436455","https://openalex.org/W2153127767","https://openalex.org/W2491754303","https://openalex.org/W2912729109","https://openalex.org/W3038830718","https://openalex.org/W3147515309","https://openalex.org/W4240495313","https://openalex.org/W6824878655"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W1996614773","https://openalex.org/W4387820098","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W1586813864"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
