{"id":"https://openalex.org/W4318049269","doi":"https://doi.org/10.1137/22m1542556","title":"A Multiscale Hybrid Method","display_name":"A Multiscale Hybrid Method","publication_year":2024,"publication_date":"2024-05-13","ids":{"openalex":"https://openalex.org/W4318049269","doi":"https://doi.org/10.1137/22m1542556"},"language":"en","primary_location":{"id":"doi:10.1137/22m1542556","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1542556","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://strathprints.strath.ac.uk/88570/1/Barrenechea-etal-SIAM-JSC-2024-A-multiscale-hybrid-method.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025324947","display_name":"Gabriel R. Barrenechea","orcid":"https://orcid.org/0000-0003-4490-678X"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Gabriel R. Barrenechea","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023592035","display_name":"Ant\u00f4nio Tadeu A. Gomes","orcid":"https://orcid.org/0000-0002-0746-4014"},"institutions":[{"id":"https://openalex.org/I4210142352","display_name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica","ror":"https://ror.org/0498ekt05","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210142352"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Antonio Tadeu A. Gomes","raw_affiliation_strings":["Department of Mathematical and Computational Methods, National Laboratory for Scientific Computing (LNCC), Av. Getulio Vargas 333, Petropolis RJ, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computational Methods, National Laboratory for Scientific Computing (LNCC), Av. Getulio Vargas 333, Petropolis RJ, Brazil","institution_ids":["https://openalex.org/I4210142352"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011374809","display_name":"Diego Paredes","orcid":"https://orcid.org/0000-0003-2632-5682"},"institutions":[{"id":"https://openalex.org/I172787465","display_name":"University of Concepci\u00f3n","ror":"https://ror.org/0460jpj73","country_code":"CL","type":"education","lineage":["https://openalex.org/I172787465"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Diego Paredes","raw_affiliation_strings":["Departamento de Ingenier\u00eda Matem\u00e1tica and CI\u00b2MA, Universidad de Concepci\u00f3n, Concepci\u00f3n 4089100, Chile"],"raw_orcid":"https://orcid.org/0000-0003-2632-5682","affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica and CI\u00b2MA, Universidad de Concepci\u00f3n, Concepci\u00f3n 4089100, Chile","institution_ids":["https://openalex.org/I172787465"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025324947"],"corresponding_institution_ids":["https://openalex.org/I181647926"],"apc_list":null,"apc_paid":null,"fwci":1.0371,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75991922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"46","issue":"3","first_page":"A1628","last_page":"A1657"},"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":0.9995999932289124,"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":0.6656668186187744},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4115780293941498},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32994455099105835}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6656668186187744},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4115780293941498},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32994455099105835}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m1542556","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1542556","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:strathprints.strath.ac.uk:88570","is_oa":true,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/566211.html>","pdf_url":"https://strathprints.strath.ac.uk/88570/1/Barrenechea-etal-SIAM-JSC-2024-A-multiscale-hybrid-method.pdf","source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"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":"PeerReviewed"},{"id":"pmh:oai:HAL:hal-03907060v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03907060","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":"2022","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"pmh:oai:strathprints.strath.ac.uk:88570","is_oa":true,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/566211.html>","pdf_url":"https://strathprints.strath.ac.uk/88570/1/Barrenechea-etal-SIAM-JSC-2024-A-multiscale-hybrid-method.pdf","source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"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":"PeerReviewed"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4716734331","display_name":null,"funder_award_id":"RPG-2021-238","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"}],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4318049269.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W136185420","https://openalex.org/W1966922361","https://openalex.org/W1977096265","https://openalex.org/W1979771104","https://openalex.org/W1980404981","https://openalex.org/W1990157709","https://openalex.org/W1993348678","https://openalex.org/W1994484297","https://openalex.org/W2000272165","https://openalex.org/W2005923469","https://openalex.org/W2014983931","https://openalex.org/W2021411519","https://openalex.org/W2038330765","https://openalex.org/W2070299075","https://openalex.org/W2078045751","https://openalex.org/W2171622994","https://openalex.org/W2252665821","https://openalex.org/W2588039772","https://openalex.org/W2767630313","https://openalex.org/W2786041306","https://openalex.org/W2900645064","https://openalex.org/W2941710969","https://openalex.org/W2969392380","https://openalex.org/W3006555674","https://openalex.org/W3100532356","https://openalex.org/W3118448946","https://openalex.org/W3142781286","https://openalex.org/W3198272795","https://openalex.org/W3209625832","https://openalex.org/W4292941884","https://openalex.org/W4323273672"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1,53],"work":[2],"we":[3,154],"propose,":[4],"analyze,":[5],"and":[6,91,115,153,167],"test":[7],"a":[8,24,40,85,112,116],"new":[9],"multiscale":[10,151],"finite":[11],"element":[12],"method":[13,20,78,108,142,161],"called":[14],"Multiscale":[15,29],"Hybrid":[16,30],"(MH)":[17],"method.":[18],"The":[19,49,103],"is":[21,47,54,89,109,120],"built":[22],"as":[23,65,67,73],"close":[25],"relative":[26],"to":[27,60,75,97],"the":[28,36,44,57,62,68,76,99,107,123,127,133,138,141,159],"Mixed":[31],"(MHM)":[32],"method,":[33],"but":[34],"with":[35,150,158],"fundamental":[37],"difference":[38],"that":[39,55],"novel":[41],"definition":[42],"of":[43,52,106,140,145,164],"Lagrange":[45,134],"multiplier":[46],"introduced.":[48],"practical":[50],"implication":[51],"both":[56],"local":[58,93,100],"problems":[59,94,149],"compute":[61,98],"basis":[63,101],"functions,":[64],"well":[66],"global":[69,87,129],"problem,":[70],"are":[71,95],"elliptic,":[72],"opposed":[74],"MHM":[77,160],"(and":[79],"also":[80],"other":[81],"previous":[82],"methods)":[83],"where":[84],"mixed":[86],"problem":[88],"solved,":[90],"constrained":[92],"solved":[96],"functions.":[102],"error":[104],"analysis":[105],"based":[110],"on":[111],"hybrid":[113],"formulation,":[114],"static":[117],"condensation":[118],"process":[119],"done":[121],"at":[122],"discrete":[124],"level,":[125],"so":[126],"final":[128],"system":[130],"only":[131],"involves":[132],"multipliers.":[135],"We":[136],"tested":[137],"performance":[139],"by":[143],"means":[144],"numerical":[146],"experiments":[147],"for":[148],"coefficients,":[152],"carried":[155],"out":[156],"comparisons":[157],"in":[162],"terms":[163],"performance,":[165],"accuracy,":[166],"memory":[168],"requirements.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-21T23:12:01.093139","created_date":"2025-10-10T00:00:00"}