{"id":"https://openalex.org/W2295451916","doi":"https://doi.org/10.1186/s40323-016-0058-8","title":"General treatment of essential boundary conditions in reduced order models for non-linear problems","display_name":"General treatment of essential boundary conditions in reduced order models for non-linear problems","publication_year":2016,"publication_date":"2016-03-08","ids":{"openalex":"https://openalex.org/W2295451916","doi":"https://doi.org/10.1186/s40323-016-0058-8","mag":"2295451916"},"language":"en","primary_location":{"id":"doi:10.1186/s40323-016-0058-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40323-016-0058-8","pdf_url":"https://amses-journal.springeropen.com/counter/pdf/10.1186/s40323-016-0058-8","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://amses-journal.springeropen.com/counter/pdf/10.1186/s40323-016-0058-8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000813422","display_name":"Alejandro C\u00f3simo","orcid":"https://orcid.org/0000-0002-2922-4847"},"institutions":[{"id":"https://openalex.org/I4210087179","display_name":"Centro de Investigaci\u00f3n de M\u00e9todos Computacionales","ror":"https://ror.org/0041aya12","country_code":"AR","type":"facility","lineage":["https://openalex.org/I151201029","https://openalex.org/I3121987637","https://openalex.org/I4210087179","https://openalex.org/I4210087694","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Alejandro Cosimo","raw_affiliation_strings":["CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), ruta 168 s/n, Predio Conicet \u201cDr A. Cassano\u201d, 3000, Santa Fe, Argentina","CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), Santa Fe, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), ruta 168 s/n, Predio Conicet \u201cDr A. Cassano\u201d, 3000, Santa Fe, Argentina","institution_ids":["https://openalex.org/I4210087179"]},{"raw_affiliation_string":"CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), Santa Fe, Argentina","institution_ids":["https://openalex.org/I4210087179"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005602833","display_name":"Alberto Cardona","orcid":"https://orcid.org/0000-0002-1383-8350"},"institutions":[{"id":"https://openalex.org/I4210087179","display_name":"Centro de Investigaci\u00f3n de M\u00e9todos Computacionales","ror":"https://ror.org/0041aya12","country_code":"AR","type":"facility","lineage":["https://openalex.org/I151201029","https://openalex.org/I3121987637","https://openalex.org/I4210087179","https://openalex.org/I4210087694","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Alberto Cardona","raw_affiliation_strings":["CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), ruta 168 s/n, Predio Conicet \u201cDr A. Cassano\u201d, 3000, Santa Fe, Argentina","CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), Santa Fe, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), ruta 168 s/n, Predio Conicet \u201cDr A. Cassano\u201d, 3000, Santa Fe, Argentina","institution_ids":["https://openalex.org/I4210087179"]},{"raw_affiliation_string":"CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), Santa Fe, Argentina","institution_ids":["https://openalex.org/I4210087179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026491947","display_name":"Sergio R. Idelsohn","orcid":"https://orcid.org/0000-0003-0034-7883"},"institutions":[{"id":"https://openalex.org/I11932220","display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats","ror":"https://ror.org/0371hy230","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I11932220"]},{"id":"https://openalex.org/I4210087179","display_name":"Centro de Investigaci\u00f3n de M\u00e9todos Computacionales","ror":"https://ror.org/0041aya12","country_code":"AR","type":"facility","lineage":["https://openalex.org/I151201029","https://openalex.org/I3121987637","https://openalex.org/I4210087179","https://openalex.org/I4210087694","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I4210127182","display_name":"International Center for Numerical Methods in Engineering","ror":"https://ror.org/03ej8a714","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210127182","https://openalex.org/I4387153040","https://openalex.org/I9617848"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["AR","ES"],"is_corresponding":true,"raw_author_name":"Sergio Idelsohn","raw_affiliation_strings":["CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), ruta 168 s/n, Predio Conicet \u201cDr A. Cassano\u201d, 3000, Santa Fe, Argentina","International Center for Numerical Methods in Engineering (CIMNE) and Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats (ICREA), Barcelona, Spain","CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), Santa Fe, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), ruta 168 s/n, Predio Conicet \u201cDr A. Cassano\u201d, 3000, Santa Fe, Argentina","institution_ids":["https://openalex.org/I4210087179"]},{"raw_affiliation_string":"International Center for Numerical Methods in Engineering (CIMNE) and Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats (ICREA), Barcelona, Spain","institution_ids":["https://openalex.org/I11932220","https://openalex.org/I4210127182","https://openalex.org/I9617848"]},{"raw_affiliation_string":"CIMEC-Centro de Investigaci\u00f3n de M\u00e9todos Computacionales (UNL / Conicet), Santa Fe, Argentina","institution_ids":["https://openalex.org/I4210087179"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026491947"],"corresponding_institution_ids":["https://openalex.org/I11932220","https://openalex.org/I4210087179","https://openalex.org/I4210127182","https://openalex.org/I9617848"],"apc_list":{"value":1890,"currency":"USD","value_usd":1890},"apc_paid":{"value":1890,"currency":"USD","value_usd":1890},"fwci":1.7452,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84362913,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"3","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6897002458572388},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6346202492713928},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5753352046012878},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.5677568912506104},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5641883015632629},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5633582472801208},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48946893215179443},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4614182412624359},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.4485626220703125},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4401649236679077},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4306797385215759},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3552566170692444},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2839434742927551},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1674668788909912},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16519001126289368},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08290058374404907}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6897002458572388},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6346202492713928},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5753352046012878},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.5677568912506104},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5641883015632629},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5633582472801208},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48946893215179443},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4614182412624359},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.4485626220703125},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4401649236679077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4306797385215759},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3552566170692444},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2839434742927551},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1674668788909912},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16519001126289368},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08290058374404907},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1186/s40323-016-0058-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40323-016-0058-8","pdf_url":"https://amses-journal.springeropen.com/counter/pdf/10.1186/s40323-016-0058-8","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/38250","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/38250","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"reponame:CONICET Digital (CONICET)","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:HAL:hal-04458368v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04458368","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":"http://link.springer.com/article/10.1186/s40323-016-0058-8/fulltext.html","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dnet:scipediaopen::b537b8c8048d2ad3c47b8e3d2db867a2","is_oa":true,"landing_page_url":"https://www.scipedia.com/public/Cosimo_et_al_2016a","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1186/s40323-016-0058-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s40323-016-0058-8","pdf_url":"https://amses-journal.springeropen.com/counter/pdf/10.1186/s40323-016-0058-8","source":{"id":"https://openalex.org/S3034486266","display_name":"Advanced Modeling and Simulation in Engineering Sciences","issn_l":"2213-7467","issn":["2213-7467"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Modeling and Simulation in Engineering Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G167783662","display_name":null,"funder_award_id":"PICT 2013","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G3789871709","display_name":"Modelado Computacional de Sistemas Mec\u00e1nicos Complejos","funder_award_id":"PICT-2013-2894","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G4294862531","display_name":null,"funder_award_id":"PICT 2013","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G7378882120","display_name":null,"funder_award_id":"CONICET","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G8526296540","display_name":null,"funder_award_id":"2013-2894","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320321594","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59"},{"id":"https://openalex.org/F4320323408","display_name":"Universidad Nacional del Litoral","ror":"https://ror.org/00pt8r998"},{"id":"https://openalex.org/F4320334832","display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/03stxzb56"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2295451916.pdf","grobid_xml":"https://content.openalex.org/works/W2295451916.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W229136980","https://openalex.org/W327395697","https://openalex.org/W1262895620","https://openalex.org/W1633869374","https://openalex.org/W1994555336","https://openalex.org/W2006254762","https://openalex.org/W2017507343","https://openalex.org/W2017745440","https://openalex.org/W2026123674","https://openalex.org/W2042860072","https://openalex.org/W2050363513","https://openalex.org/W2052094257","https://openalex.org/W2054019633","https://openalex.org/W2058910428","https://openalex.org/W2064263180","https://openalex.org/W2068991306","https://openalex.org/W2080673722","https://openalex.org/W2088434417","https://openalex.org/W2089099479","https://openalex.org/W2093576171","https://openalex.org/W2102162541","https://openalex.org/W2118357359","https://openalex.org/W2120101088","https://openalex.org/W2161155740","https://openalex.org/W2565264375","https://openalex.org/W2767301206","https://openalex.org/W4246247853"],"related_works":["https://openalex.org/W4388311650","https://openalex.org/W5922282","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W62490179","https://openalex.org/W2954004777","https://openalex.org/W2951102138","https://openalex.org/W2133690079"],"abstract_inverted_index":{"Inhomogeneous":[0],"essential":[1,108],"boundary":[2,33,51,109],"conditions":[3,34,52,110],"must":[4],"be":[5],"carefully":[6],"treated":[7],"in":[8,30,37,45,58,79,117],"the":[9,32,63,84,88,91,114],"formulation":[10],"of":[11,50,66,90,121],"Reduced":[12],"Order":[13],"Models":[14],"(ROMs)":[15],"for":[16],"non-linear":[17],"problems.":[18,92],"In":[19],"order":[20,80],"to":[21,62,81,87,94],"investigate":[22],"this":[23,59,118],"issue,":[24],"two":[25],"methods":[26],"are":[27,35,111,120],"analysed:":[28],"one":[29,44],"which":[31,46],"imposed":[36],"an":[38,71],"strong":[39],"way,":[40],"and":[41,105],"a":[42,47,67,72],"second":[43],"weak":[48],"imposition":[49],"is":[53,76],"made.":[54],"The":[55],"ideas":[56],"presented":[57],"work":[60,119],"apply":[61],"big":[64],"realm":[65],"posteriori":[68,73],"ROMs.":[69],"Nevertheless,":[70],"hyper-reduction":[74],"method":[75],"specifically":[77],"considered":[78],"deal":[82],"with":[83,100],"cost":[85],"associated":[86],"non-linearity":[89],"Applications":[93],"nonlinear":[95],"transient":[96],"heat":[97],"conduction":[98],"problems":[99],"temperature":[101],"dependent":[102,107],"thermophysical":[103],"properties":[104],"time":[106],"studied.":[112],"However,":[113],"strategies":[115],"introduced":[116],"general":[122],"application.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}