{"id":"https://openalex.org/W4406823406","doi":"https://doi.org/10.1007/s00211-025-01452-z","title":"Stabilization of loosely coupled schemes for 0D\u20133D fluid\u2013structure interaction problems with application to cardiovascular modelling","display_name":"Stabilization of loosely coupled schemes for 0D\u20133D fluid\u2013structure interaction problems with application to cardiovascular modelling","publication_year":2025,"publication_date":"2025-01-25","ids":{"openalex":"https://openalex.org/W4406823406","doi":"https://doi.org/10.1007/s00211-025-01452-z"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-025-01452-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-025-01452-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-025-01452-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00211-025-01452-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061750919","display_name":"Francesco Regazzoni","orcid":"https://orcid.org/0000-0002-4207-1400"},"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":"Francesco Regazzoni","raw_affiliation_strings":["MOX - Department of Mathematics, Politecnico di Milano, P.zza Leonardo da Vinci 32, 20133, Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MOX - Department of Mathematics, Politecnico di Milano, P.zza Leonardo da Vinci 32, 20133, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061750919"],"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":0.01099284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"157","issue":"1","first_page":"249","last_page":"306"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9742000102996826,"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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9271000027656555,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fluid\u2013structure-interaction","display_name":"Fluid\u2013structure interaction","score":0.6892028450965881},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6054163575172424},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.543225109577179},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4281724691390991},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.39248600602149963},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1970871388912201},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1152532696723938},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.0816529393196106}],"concepts":[{"id":"https://openalex.org/C2779126057","wikidata":"https://www.wikidata.org/wiki/Q478010","display_name":"Fluid\u2013structure interaction","level":3,"score":0.6892028450965881},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6054163575172424},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.543225109577179},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4281724691390991},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.39248600602149963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1970871388912201},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1152532696723938},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0816529393196106}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-025-01452-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-025-01452-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-025-01452-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1285107","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1285107","pdf_url":null,"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00211-025-01452-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-025-01452-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-025-01452-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3708853832","display_name":null,"funder_award_id":"PRIN2022","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320324039","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4406823406.pdf"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W577909876","https://openalex.org/W967279735","https://openalex.org/W1502527850","https://openalex.org/W1548589512","https://openalex.org/W1970693781","https://openalex.org/W1987136098","https://openalex.org/W1989997498","https://openalex.org/W1992154841","https://openalex.org/W2000582360","https://openalex.org/W2009179764","https://openalex.org/W2019201408","https://openalex.org/W2054660467","https://openalex.org/W2055086284","https://openalex.org/W2057850197","https://openalex.org/W2058621793","https://openalex.org/W2086061329","https://openalex.org/W2107836188","https://openalex.org/W2108219429","https://openalex.org/W2112787727","https://openalex.org/W2117869560","https://openalex.org/W2128070479","https://openalex.org/W2130118020","https://openalex.org/W2132670047","https://openalex.org/W2136309462","https://openalex.org/W2136319245","https://openalex.org/W2142484351","https://openalex.org/W2152102493","https://openalex.org/W2156590922","https://openalex.org/W2163071496","https://openalex.org/W2188240824","https://openalex.org/W2270880834","https://openalex.org/W2289634652","https://openalex.org/W2497351868","https://openalex.org/W2531404687","https://openalex.org/W2605370065","https://openalex.org/W2677947286","https://openalex.org/W2891216419","https://openalex.org/W2971960337","https://openalex.org/W2994823220","https://openalex.org/W3016867388","https://openalex.org/W3041122206","https://openalex.org/W3082418857","https://openalex.org/W3097170776","https://openalex.org/W3119341024","https://openalex.org/W3164142552","https://openalex.org/W3165914844","https://openalex.org/W3168782534","https://openalex.org/W3181367863","https://openalex.org/W3192546155","https://openalex.org/W3193979520","https://openalex.org/W4213143819","https://openalex.org/W4236905297","https://openalex.org/W4239957396","https://openalex.org/W4250467315","https://openalex.org/W4292079189","https://openalex.org/W4292341421","https://openalex.org/W4382678603","https://openalex.org/W6601103585"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W1702381702","https://openalex.org/W2758995830","https://openalex.org/W4285308861"],"abstract_inverted_index":{"Abstract":[0],"In":[1,54,75,204,374],"this":[2,38,375],"paper":[3],"we":[4,30,155,161,290,345],"analyze":[5],"the":[6,24,47,55,58,63,66,73,76,80,82,86,90,99,119,125,131,138,150,165,180,184,187,190,199,205,212,220,223,242,257,298,306,328,347,359,382,389],"numerical":[7,224,276,342,390],"oscillations":[8,145,193,225,384],"affecting":[9],"loosely":[10,43],"coupled":[11,44],"schemes":[12],"for":[13,153,171,195,233,297,320],"hybrid-dimensional":[14],"0D\u20133D":[15],"fluid\u2013structure":[16],"interaction":[17],"(FSI)":[18],"problems,":[19],"which":[20,154],"arise":[21],"e.g.":[22],"in":[23,98,135,149,284,355],"field":[25],"of":[26,174,186,192,207,222,256,259,271,308,323,371],"cardiovascular":[27],"modeling,":[28],"and":[29,50,71,88,95,236,262,366],"propose":[31,291],"a":[32,110,136,172,217,292,362,367],"novel":[33],"stabilized":[34,315,349],"scheme":[35,140,167,316,330,350,379],"that":[36,163,312,385],"cures":[37],"issue.":[39],"We":[40,229,310],"study":[41],"several":[42,341],"schemes,":[45,251],"including":[46],"Dirichlet\u2013Neumann":[48],"(DN)":[49],"Neumann\u2013Dirichlet":[51,299],"(ND)":[52],"schemes.":[53],"first":[56],"one,":[57,78],"0D":[59],"fluid":[60,83,132],"model":[61,70,84,365,370],"prescribes":[62,89],"pressure":[64,87,260],"to":[65,118,249,351],"3D":[67,363],"structural":[68],"mechanics":[69],"receives":[72,85],"flow.":[74,91],"second":[77],"on":[79,117,241,253,305],"contrary,":[81],"The":[92],"terms":[93],"DN":[94,139],"ND,":[96],"employed":[97],"FSI":[100],"literature,":[101],"are":[102,338],"borrowed":[103],"from":[104],"domain":[105],"decomposition":[106],"methods,":[107],"although":[108],"here":[109],"single":[111],"iteration":[112],"is":[113,127,141,201,226,317],"performed":[114],"before":[115],"moving":[116],"next":[120],"time":[121,213,243,324],"step":[122,214,244,325],"(that":[123],"is,":[124],"coupling":[126,360],"treated":[128],"explicitly).":[129],"Should":[130],"be":[133,169,282],"enclosed":[134],"cavity,":[137],"affected":[142],"by":[143,210,302,340],"non-physical":[144,383],"whose":[146],"origin":[147],"lies":[148],"balloon":[151],"dilemma,":[152],"provide":[156,230],"an":[157,231,352],"algebraic":[158],"interpretation.":[159],"Moreover,":[160],"show":[162],"also":[164],"ND":[166,200],"can":[168,274,281],"unstable":[170],"range":[173],"parameter":[175,197,334],"choices.":[176],"Surprisingly,":[177],"increasing":[178],"either":[179,263],"viscous":[181],"dissipation":[182],"or":[183,265],"inertia":[185],"structure":[188],"favours":[189],"onset":[191,307],"and,":[194],"certain":[196,218],"choices,":[198],"unconditionally":[202],"unstable.":[203],"presence":[206],"inertial":[208],"terms,":[209],"reducing":[211],"size":[215],"below":[216],"threshold,":[219],"amplitude":[221],"even":[227],"amplified.":[228],"explanation":[232],"these":[234,279,288],"facts":[235],"establish":[237],"sharp":[238],"stability":[239],"bounds":[240],"size.":[245,326],"Our":[246],"analysis":[247],"extends":[248],"Robin\u2013Robin":[250],"based":[252],"linear":[254],"combinations":[255],"conditions":[258],"continuity":[261],"volume":[264],"flux":[266],"continuity.":[267],"While":[268],"appropriate":[269],"choices":[270],"Robin":[272],"coefficients":[273,280],"achieve":[275],"stability,":[277],"tuning":[278],"challenging":[283],"practice.":[285],"To":[286],"address":[287],"issues,":[289],"numerically":[293],"consistent":[294],"stabilization":[295],"term":[296],"scheme,":[300],"inspired":[301],"physical":[303],"insight":[304],"oscillations.":[309],"prove":[311],"our":[313,377],"proposed":[314,329,348,378],"absolutely":[318],"stable":[319],"any":[321],"choice":[322],"Notably,":[327],"does":[331],"not":[332],"require":[333],"tuning.":[335],"These":[336],"results":[337],"verified":[339],"tests.":[343],"Finally,":[344],"apply":[346],"important":[353],"problem":[354],"cardiac":[356,364],"electromechanics,":[357],"namely":[358],"between":[361],"closed-loop":[368],"lumped-parameter":[369],"blood":[372],"circulation.":[373],"setting,":[376],"successfully":[380],"removes":[381],"would":[386],"otherwise":[387],"affect":[388],"solution.":[391]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}