{"id":"https://openalex.org/W2305476986","doi":"https://doi.org/10.1137/140981411","title":"A Flexible Uncertainty Propagation Framework for General Multiphysics Systems","display_name":"A Flexible Uncertainty Propagation Framework for General Multiphysics Systems","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2305476986","doi":"https://doi.org/10.1137/140981411","mag":"2305476986"},"language":"en","primary_location":{"id":"doi:10.1137/140981411","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140981411","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"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/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103259763","display_name":"Anant Mittal","orcid":"https://orcid.org/0009-0000-9085-8446"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. Mittal","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100373759","display_name":"Xiao Chen","orcid":"https://orcid.org/0000-0003-1941-3449"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"X. Chen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101441866","display_name":"Charles Tong","orcid":"https://orcid.org/0000-0001-7595-7606"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. H. Tong","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5047377841","display_name":"Gianluca Iaccarino","orcid":"https://orcid.org/0000-0003-3659-7745"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. Iaccarino","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103259763"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5951,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75191781,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"4","issue":"1","first_page":"218","last_page":"243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9703999757766724,"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9690999984741211,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiphysics","display_name":"Multiphysics","score":0.9101142883300781},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7984640598297119},{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.7320119142532349},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.6310719847679138},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.591412365436554},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5527634620666504},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5384218096733093},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.521160364151001},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.48950397968292236},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.4504110813140869},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3691555857658386},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34534522891044617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3045142889022827},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.15688475966453552},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.092643141746521}],"concepts":[{"id":"https://openalex.org/C46435376","wikidata":"https://www.wikidata.org/wiki/Q1829750","display_name":"Multiphysics","level":3,"score":0.9101142883300781},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7984640598297119},{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.7320119142532349},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.6310719847679138},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.591412365436554},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5527634620666504},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5384218096733093},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.521160364151001},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.48950397968292236},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.4504110813140869},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3691555857658386},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34534522891044617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3045142889022827},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.15688475966453552},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.092643141746521},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/140981411","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140981411","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"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/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W128394833","https://openalex.org/W214995193","https://openalex.org/W304594964","https://openalex.org/W1489391324","https://openalex.org/W1555627060","https://openalex.org/W1593505867","https://openalex.org/W1601829011","https://openalex.org/W1646309082","https://openalex.org/W1950691413","https://openalex.org/W1975763292","https://openalex.org/W1976890616","https://openalex.org/W1978744409","https://openalex.org/W1984943006","https://openalex.org/W1985093013","https://openalex.org/W1995951261","https://openalex.org/W1996640051","https://openalex.org/W2000245355","https://openalex.org/W2004814202","https://openalex.org/W2016638303","https://openalex.org/W2018159038","https://openalex.org/W2020328455","https://openalex.org/W2035140822","https://openalex.org/W2055460625","https://openalex.org/W2065451462","https://openalex.org/W2071187519","https://openalex.org/W2097897435","https://openalex.org/W2102031020","https://openalex.org/W2108590855","https://openalex.org/W2136602340","https://openalex.org/W2146552914","https://openalex.org/W2155692669","https://openalex.org/W2236623899","https://openalex.org/W2315089058","https://openalex.org/W2332771484","https://openalex.org/W2419502015","https://openalex.org/W2798461040","https://openalex.org/W3145008516"],"related_works":["https://openalex.org/W2084426624","https://openalex.org/W3026055904","https://openalex.org/W2792869497","https://openalex.org/W4312133600","https://openalex.org/W2567205727","https://openalex.org/W2361803029","https://openalex.org/W2548694948","https://openalex.org/W2304501688","https://openalex.org/W4312747563","https://openalex.org/W2010566957"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2,112],"efficient":[3],"\u201cmodule-based\u201d":[4],"uncertainty":[5],"propagation":[6],"framework":[7,14,100],"for":[8],"stochastic":[9,25],"multiphysics":[10,26,40],"systems.":[11],"Our":[12],"proposed":[13],"facilitates":[15],"modeling":[16],"flexibility":[17],"and":[18,28,45,53,73,94,105],"independence":[19],"within":[20],"each":[21],"module":[22],"of":[23,58,69,77,79,91,114],"a":[24,89,102],"solver,":[27],"extends":[29],"the":[30,35,51,59,66,75,80,85,115],"framework,":[31],"previously":[32],"introduced":[33],"by":[34],"authors,":[36],"to":[37],"general":[38],"(nonlinear)":[39],"systems":[41],"via":[42],"generic":[43],"restriction":[44],"prolongation":[46],"operators,":[47],"which":[48],"transform":[49],"between":[50],"global":[52,86],"local":[54],"polynomial":[55],"chaos":[56],"representations":[57],"input/output":[60],"data.":[61],"Moreover,":[62],"these":[63,92],"operators":[64],"preserve":[65],"convergence":[67],"rate":[68,76],"monolithic":[70,117],"generalized-polynomial-chaos--based":[71],"methods,":[72],"lower":[74],"growth":[78],"overall":[81],"computational":[82,109],"costs":[83],"w.r.t.":[84],"dimension.":[87],"Following":[88],"discussion":[90],"mathematical":[93],"algorithmic":[95],"details,":[96],"we":[97],"implement":[98],"our":[99],"on":[101],"test":[103],"problem,":[104],"demonstrate":[106],"its":[107],"superior":[108],"performance":[110],"over":[111],"implementation":[113],"standard":[116],"framework.":[118],"(An":[119],"erratum":[120],"is":[121],"attached.)":[122]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
