{"id":"https://openalex.org/W4392286070","doi":"https://doi.org/10.1137/22m1509114","title":"Space-Time Reduced Basis Methods for Parametrized Unsteady Stokes Equations","display_name":"Space-Time Reduced Basis Methods for Parametrized Unsteady Stokes Equations","publication_year":2024,"publication_date":"2024-02-29","ids":{"openalex":"https://openalex.org/W4392286070","doi":"https://doi.org/10.1137/22m1509114"},"language":"en","primary_location":{"id":"doi:10.1137/22m1509114","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1509114","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://infoscience.epfl.ch/handle/20.500.14299/206845","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067697698","display_name":"Riccardo Tenderini","orcid":"https://orcid.org/0000-0002-2784-9261"},"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":true,"raw_author_name":"Riccardo Tenderini","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Institute of Mathematics, CH-1015 Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-2784-9261","affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Institute of Mathematics, CH-1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103280514","display_name":"Nicholas Mueller","orcid":"https://orcid.org/0000-0002-7798-0858"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Nicholas Mueller","raw_affiliation_strings":["Department of Mathematics, Monash University, VIC-3800 Clayton, Victoria, Australia"],"raw_orcid":"https://orcid.org/0000-0002-7798-0858","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Monash University, VIC-3800 Clayton, Victoria, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009866562","display_name":"Simone Deparis","orcid":"https://orcid.org/0000-0002-2832-6630"},"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":"Simone Deparis","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Institute of Mathematics, CH-1015 Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Institute of Mathematics, CH-1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067697698"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":1.3478,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78167067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"46","issue":"1","first_page":"B1","last_page":"B32"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9993000030517578,"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":0.9983999729156494,"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":0.8090179562568665},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6791516542434692},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48472070693969727},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4837058186531067},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46736833453178406},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4663851261138916},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2103048861026764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10852128267288208}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8090179562568665},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6791516542434692},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48472070693969727},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4837058186531067},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46736833453178406},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4663851261138916},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2103048861026764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10852128267288208},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1509114","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1509114","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:infoscience.epfl.ch:310170","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/206845","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"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:310170","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/206845","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W592911714","https://openalex.org/W1564395471","https://openalex.org/W1654592290","https://openalex.org/W1979475531","https://openalex.org/W1983332762","https://openalex.org/W1992736458","https://openalex.org/W1993455955","https://openalex.org/W2005858020","https://openalex.org/W2010619938","https://openalex.org/W2012630580","https://openalex.org/W2014071022","https://openalex.org/W2016186480","https://openalex.org/W2026879749","https://openalex.org/W2034797962","https://openalex.org/W2037899710","https://openalex.org/W2038695002","https://openalex.org/W2049753327","https://openalex.org/W2059262502","https://openalex.org/W2067824277","https://openalex.org/W2081746320","https://openalex.org/W2093049475","https://openalex.org/W2097652335","https://openalex.org/W2114235273","https://openalex.org/W2117756735","https://openalex.org/W2143442648","https://openalex.org/W2154931460","https://openalex.org/W2157130548","https://openalex.org/W2162133926","https://openalex.org/W2803949733","https://openalex.org/W2896584966","https://openalex.org/W2907646486","https://openalex.org/W2963509795","https://openalex.org/W2990493671","https://openalex.org/W3087197902","https://openalex.org/W3090745866","https://openalex.org/W3195839795","https://openalex.org/W3204716857","https://openalex.org/W4240395309","https://openalex.org/W4292079189","https://openalex.org/W4312258136"],"related_works":["https://openalex.org/W2006953814","https://openalex.org/W2542637001","https://openalex.org/W1972782945","https://openalex.org/W3212981098","https://openalex.org/W4221090543","https://openalex.org/W2130622405","https://openalex.org/W2109887391","https://openalex.org/W1819996744","https://openalex.org/W2154858558","https://openalex.org/W1816864220"],"abstract_inverted_index":{"In":[0,120,229],"this":[1],"work,":[2],"we":[3],"analyze":[4],"space-time":[5],"reduced":[6,23,50],"basis":[7,24,51,140],"methods":[8,53,84,215],"for":[9,38,184],"the":[10,22,39,43,55,60,64,80,86,102,121,164,185,201,220,226,231,235],"efficient":[11],"numerical":[12],"simulation":[13],"of":[14,21,42,82,132,163,205,219],"haemodynamics":[15],"in":[16,30,248],"arteries.":[17],"The":[18,148,174,209],"classical":[19,175],"formulation":[20],"(RB)":[25],"method":[26,106,150,177,233],"features":[27,240],"dimensionality":[28,56],"reduction":[29,57,127],"space,":[31],"while":[32,223,245],"finite":[33,103],"difference":[34],"schemes":[35],"are":[36,99],"employed":[37],"time":[40,111],"integration":[41],"resulting":[44],"ordinary":[45],"differential":[46],"equation":[47],"(ODE).":[48],"Space-time":[49],"(ST--RB)":[52],"extend":[54],"paradigm":[58],"to":[59,78,85,145,170],"temporal":[61],"dimension,":[62],"projecting":[63],"full":[65],"-order":[66],"problem":[67],"onto":[68],"a":[69,92,110,133,136,155,160,182,206,241],"low":[70],"-dimensional":[71],"spatio-temp":[72,137],"oral":[73,138],"subspace.":[74],"Our":[75],"goal":[76],"is":[77,128,143],"investigate":[79],"application":[81],"ST--RB":[83,118,214],"unsteady":[87],"incompressible":[88],"Stokes":[89],"equations,":[90],"with":[91,250],"particular":[93],"focus":[94],"on":[95,193,200],"stability.":[96,147,173],"High-fidelity":[97],"simulations":[98],"performed":[100],"using":[101],"element":[104],"(FE)":[105],"and":[107,199],"BDF2":[108],"as":[109,179,181,238],"marching":[112],"scheme.":[113],"We":[114],"consider":[115],"two":[116],"different":[117],"methods.":[119],"first":[122],"onecalled":[123],"ST--GRB---space-time":[124],"model":[125],"order":[126],"achieved":[129],"by":[130,154],"means":[131],"Galerkin":[134],"projection;":[135],"velocity":[139],"enrichment":[141],"procedure":[142],"introduced":[144],"guarantee":[146],"second":[149],"---called":[151],"ST--PGRB---is":[152],"characterized":[153],"Petrov-Galerkin":[156],"projection,":[157],"stemming":[158],"from":[159],"suitable":[161],"minimization":[162],"FOM":[165],"residual,":[166],"that":[167,212],"allows":[168],"us":[169],"automatically":[171],"attain":[172],"RB":[176],"-denoted":[178],"SRB--TFO---serves":[180],"baseline":[183],"theoretical":[186,251],"development.":[187],"Numerical":[188],"tests":[189],"have":[190],"been":[191],"conducted":[192],"an":[194],"idealized":[195],"symmetric":[196],"bifurcation":[197],"geometry":[198],"patient":[202],"-specific":[203],"one":[204],"femoropopliteal":[207],"bypass.":[208],"results":[210],"show":[211],"both":[213],"provide":[216],"accurate":[217],"approximations":[218],"high-fidelity":[221],"solutions,":[222],"considerably":[224],"reducing":[225],"computational":[227,243],"cost.":[228],"particular,":[230],"ST--PGRB":[232],"exhibits":[234],"best":[236],"performance,":[237],"it":[239],"better":[242],"efficiency":[244],"retaining":[246],"accuracies":[247],"accordance":[249],"expectations.":[252]},"counts_by_year":[{"year":2025,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}