{"id":"https://openalex.org/W4221147072","doi":"https://doi.org/10.1007/s10444-022-10008-w","title":"Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces","display_name":"Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces","publication_year":2023,"publication_date":"2023-03-16","ids":{"openalex":"https://openalex.org/W4221147072","doi":"https://doi.org/10.1007/s10444-022-10008-w"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-022-10008-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-022-10008-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-022-10008-w.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10444-022-10008-w.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053606846","display_name":"Elena Zappon","orcid":"https://orcid.org/0000-0002-0608-1636"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Elena Zappon","raw_affiliation_strings":["MOX - Dipartimento di Matematica, Politecnico di Milano, P.zza Leonardo da Vinci 32, Milan, I-20133, Italy"],"raw_orcid":"https://orcid.org/0000-0002-0608-1636","affiliations":[{"raw_affiliation_string":"MOX - Dipartimento di Matematica, Politecnico di Milano, P.zza Leonardo da Vinci 32, Milan, I-20133, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082126056","display_name":"Andrea Manzoni","orcid":"https://orcid.org/0000-0001-8277-2802"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Manzoni","raw_affiliation_strings":["MOX - Dipartimento di Matematica, Politecnico di Milano, P.zza Leonardo da Vinci 32, Milan, I-20133, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MOX - Dipartimento di Matematica, Politecnico di Milano, P.zza Leonardo da Vinci 32, Milan, I-20133, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013754088","display_name":"Alfio Quarteroni","orcid":"https://orcid.org/0000-0002-5947-6885"},"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"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["CH","IT"],"is_corresponding":false,"raw_author_name":"Alfio Quarteroni","raw_affiliation_strings":["Institute of Mathematics, Ecole Polytechnique Federale de Lausanne, Station 8, Lausanne, CH-1015, Switzerland","MOX - Dipartimento di Matematica, Politecnico di Milano, P.zza Leonardo da Vinci 32, Milan, I-20133, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Ecole Polytechnique Federale de Lausanne, Station 8, Lausanne, CH-1015, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"MOX - Dipartimento di Matematica, Politecnico di Milano, P.zza Leonardo da Vinci 32, Milan, I-20133, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053606846"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00380859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"2","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":0.7710999846458435,"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":0.7710999846458435,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.10409999638795853,"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/T10514","display_name":"Numerical methods in engineering","score":0.032600000500679016,"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/discretization","display_name":"Discretization","score":0.6985495686531067},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5892536640167236},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5214852094650269},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5189833045005798},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5119680166244507},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5032879710197449},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4774099588394165},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.45772796869277954},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.4536125957965851},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4166872501373291},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38544267416000366},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3598616123199463},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3332279324531555},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13936686515808105}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6985495686531067},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5892536640167236},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5214852094650269},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5189833045005798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5119680166244507},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5032879710197449},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4774099588394165},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.45772796869277954},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.4536125957965851},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4166872501373291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38544267416000366},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3598616123199463},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3332279324531555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13936686515808105},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10444-022-10008-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-022-10008-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-022-10008-w.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2203.09226","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2203.09226","pdf_url":"https://arxiv.org/pdf/2203.09226","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},{"id":"pmh:oai:re.public.polimi.it:11311/1250139","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1250139","pdf_url":"https://re.public.polimi.it/bitstream/11311/1250139/1/s10444-022-10008-w.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:infoscience.epfl.ch:301809","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/196765","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":"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":"WoS","raw_type":"research article"},{"id":"doi:10.48550/arxiv.2203.09226","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2203.09226","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10444-022-10008-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-022-10008-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-022-10008-w.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324039","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4221147072.pdf"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1496419809","https://openalex.org/W1499755914","https://openalex.org/W1547166419","https://openalex.org/W1554175029","https://openalex.org/W1598338247","https://openalex.org/W1735823337","https://openalex.org/W1873968263","https://openalex.org/W1971440122","https://openalex.org/W1976509519","https://openalex.org/W2000582360","https://openalex.org/W2004587738","https://openalex.org/W2006976319","https://openalex.org/W2029240087","https://openalex.org/W2031841233","https://openalex.org/W2047591100","https://openalex.org/W2049753327","https://openalex.org/W2070373555","https://openalex.org/W2074189597","https://openalex.org/W2075151302","https://openalex.org/W2084127899","https://openalex.org/W2087732604","https://openalex.org/W2119350139","https://openalex.org/W2123172379","https://openalex.org/W2125494062","https://openalex.org/W2125587831","https://openalex.org/W2126502713","https://openalex.org/W2130712370","https://openalex.org/W2133041109","https://openalex.org/W2148749654","https://openalex.org/W2157928602","https://openalex.org/W2161797061","https://openalex.org/W2167750268","https://openalex.org/W2168970443","https://openalex.org/W2207667391","https://openalex.org/W2226462370","https://openalex.org/W2322227474","https://openalex.org/W2353000616","https://openalex.org/W2403710714","https://openalex.org/W2553523287","https://openalex.org/W2555150970","https://openalex.org/W2695202536","https://openalex.org/W2791571797","https://openalex.org/W2795907599","https://openalex.org/W2809267379","https://openalex.org/W2906714908","https://openalex.org/W2944143920","https://openalex.org/W3090745866","https://openalex.org/W3175796499","https://openalex.org/W3192546155","https://openalex.org/W3199437557","https://openalex.org/W4236797139","https://openalex.org/W4237151101","https://openalex.org/W4240670390","https://openalex.org/W4248523093","https://openalex.org/W4250467315","https://openalex.org/W4292079189","https://openalex.org/W6813266281"],"related_works":["https://openalex.org/W401528","https://openalex.org/W427312","https://openalex.org/W222915","https://openalex.org/W495669","https://openalex.org/W3690890","https://openalex.org/W17070587","https://openalex.org/W3808436","https://openalex.org/W9830370","https://openalex.org/W3732134","https://openalex.org/W11463020"],"abstract_inverted_index":{"Abstract":[0],"One":[1],"of":[2,6,48,136,151,169,196],"the":[3,15,45,49,93,110,129,137,167,170,180,190,194,200],"major":[4],"challenges":[5],"coupled":[7,50,76,139,171,205],"problems":[8,77,206],"is":[9,144,216],"to":[10,23,72,106,115,182],"manage":[11],"nonconforming":[12],"meshes":[13,127],"at":[14,128],"interface":[16,97,214],"between":[17],"two":[18],"models":[19,55,187],"and/or":[20],"domains,":[21],"due":[22],"different":[24],"numerical":[25],"schemes":[26],"or":[27,40,118,125],"domain":[28,209],"discretizations":[29],"employed.":[30],"Moreover,":[31],"very":[32],"often":[33],"complex":[34],"submodels":[35],"depend":[36],"on":[37,92,166],"(e.g.,":[38],"physical":[39],"geometrical)":[41],"parameters,":[42],"thus":[43],"making":[44],"repeated":[46],"solutions":[47],"problem":[51,172],"through":[52,95],"high-fidelity,":[53],"full-order":[54],"extremely":[56],"expensive,":[57],"if":[58],"not":[59],"unaffordable.":[60],"In":[61],"this":[62,89],"paper,":[63],"we":[64],"propose":[65],"a":[66,80,85,101,133,149,162],"reduced":[67,102],"order":[68],"modeling":[69],"(ROM)":[70],"strategy":[71],"tackle":[73],"parametrized":[74],"one-way":[75],"made":[78],"by":[79,147],"first,":[81],"master":[82],"model":[83],"and":[84,157,188],"second,":[86],"slave":[87],"model;":[88],"latter":[90],"depends":[91],"former":[94],"Dirichlet":[96,120],"conditions.":[98],"We":[99],"combine":[100],"basis":[103],"method,":[104],"applied":[105],"each":[107],"subproblem,":[108],"with":[109,208],"discrete":[111],"empirical":[112],"interpolation":[113],"method":[114],"efficiently":[116],"interpolate":[117],"project":[119],"data":[121],"across":[122],"either":[123],"conforming":[124],"non-conforming":[126],"domains":[130],"interface,":[131],"building":[132],"low-dimensional":[134],"representation":[135],"overall":[138],"problem.":[140],"The":[141],"proposed":[142],"technique":[143],"numerically":[145],"verified":[146],"considering":[148],"series":[150],"test":[152],"cases":[153],"involving":[154],"both":[155,174],"steady":[156],"unsteady":[158],"problems,":[159],"after":[160],"deriving":[161],"posteriori":[163],"error":[164],"estimates":[165],"solution":[168],"in":[173],"cases.":[175],"This":[176],"work":[177],"arises":[178],"from":[179],"need":[181],"solve":[183],"staggered":[184],"cardiac":[185],"electrophysiological":[186],"represents":[189],"first":[191],"step":[192],"towards":[193],"setting":[195],"ROM":[197],"techniques":[198],"for":[199],"more":[201],"general":[202],"two-way":[203],"Dirichlet-Neumann":[204],"solved":[207],"decomposition":[210],"sub-structuring":[211],"methods,":[212],"when":[213],"non-conformity":[215],"involved.":[217]},"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2022-04-03T00:00:00"}
