{"id":"https://openalex.org/W2034942773","doi":"https://doi.org/10.1137/120884158","title":"Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations","display_name":"Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2034942773","doi":"https://doi.org/10.1137/120884158","mag":"2034942773"},"language":"en","primary_location":{"id":"doi:10.1137/120884158","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120884158","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/187609","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100338488","display_name":"Peng Chen","orcid":"https://orcid.org/0000-0003-4215-9901"},"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":"Peng Chen","raw_affiliation_strings":["\u00c9cole Polytechnique, F\u00e9d\u00e9rale de Lausanne#TAB#"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique, F\u00e9d\u00e9rale de Lausanne#TAB#","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","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"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Alfio Quarteroni","raw_affiliation_strings":["\u00c9cole Polytechnique, F\u00e9d\u00e9rale de Lausanne#TAB#"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique, F\u00e9d\u00e9rale de Lausanne#TAB#","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061558433","display_name":"Gianluigi Rozza","orcid":"https://orcid.org/0000-0002-0810-8812"},"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":"Gianluigi Rozza","raw_affiliation_strings":["\u00c9cole Polytechnique, F\u00e9d\u00e9rale de Lausanne#TAB#"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique, F\u00e9d\u00e9rale de Lausanne#TAB#","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100338488"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":2.344,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.89467993,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"51","issue":"5","first_page":"2700","last_page":"2722"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998000264167786,"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":0.9998000264167786,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9984999895095825,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.8338836431503296},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6268364787101746},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5067318081855774},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.4882050156593323},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.4825153052806854},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.445922315120697},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.4416986405849457},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43179428577423096},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4183225631713867},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23114120960235596}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8338836431503296},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6268364787101746},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5067318081855774},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.4882050156593323},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.4825153052806854},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.445922315120697},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.4416986405849457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43179428577423096},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4183225631713867},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23114120960235596},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/120884158","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120884158","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.364.3963","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.364.3963","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://infoscience.epfl.ch/record/187609/files/Stochastic_CQR_11July2012.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:187609","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/187609","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:re.public.polimi.it:11311/762319","is_oa":false,"landing_page_url":"http://epubs.siam.org/doi/abs/10.1137/120884158","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:187609","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/187609","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W87368160","https://openalex.org/W1423703656","https://openalex.org/W1555557982","https://openalex.org/W1708679080","https://openalex.org/W1820125862","https://openalex.org/W1852082788","https://openalex.org/W1967011851","https://openalex.org/W1970476229","https://openalex.org/W1982421072","https://openalex.org/W1983156129","https://openalex.org/W1990600162","https://openalex.org/W2005268217","https://openalex.org/W2010916308","https://openalex.org/W2019529034","https://openalex.org/W2022977680","https://openalex.org/W2027362114","https://openalex.org/W2049222546","https://openalex.org/W2053041077","https://openalex.org/W2059001612","https://openalex.org/W2062993069","https://openalex.org/W2066042332","https://openalex.org/W2067780150","https://openalex.org/W2070999115","https://openalex.org/W2083845086","https://openalex.org/W2092622790","https://openalex.org/W2095060406","https://openalex.org/W2112649070","https://openalex.org/W2116621195","https://openalex.org/W2120059173","https://openalex.org/W2128702576","https://openalex.org/W2143591652","https://openalex.org/W2169071224","https://openalex.org/W2494779131","https://openalex.org/W2553296218","https://openalex.org/W2613825967","https://openalex.org/W2689630278","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W4287868987","https://openalex.org/W2035080553","https://openalex.org/W2140291031","https://openalex.org/W2073970878","https://openalex.org/W3005757664","https://openalex.org/W2369588249","https://openalex.org/W2347711799","https://openalex.org/W2921314352","https://openalex.org/W45777778","https://openalex.org/W4319653459"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3,68],"deal":[4],"with":[5,19,86],"a":[6,34],"stochastic":[7,35,43,84,103,123],"optimal":[8,62,76],"Robin":[9,36],"boundary":[10,37],"control":[11,40,63],"problem":[12],"constrained":[13],"by":[14],"an":[15],"advection-diffusion-reaction":[16],"elliptic":[17],"equation":[18],"advection-dominated":[20],"term.":[21],"We":[22],"assume":[23],"that":[24],"the":[25,29,55,61,70,75,89,109,117,126],"uncertainty":[26],"comes":[27],"from":[28],"advection":[30],"field":[31],"and":[32,49,72,99,122],"consider":[33],"condition":[38],"as":[39,78,80],"function.":[41],"A":[42,112],"saddle":[44],"point":[45],"system":[46,59],"is":[47,129],"formulated":[48],"proved":[50],"to":[51,54,88,107],"be":[52],"equivalent":[53],"first":[56],"order":[57],"optimality":[58,110],"for":[60,125],"problem,":[64],"based":[65],"on":[66,83],"which":[67],"provide":[69],"existence":[71],"uniqueness":[73],"of":[74,119],"solution":[77],"well":[79],"some":[81],"results":[82],"regularity":[85],"respect":[87],"random":[90],"variables.":[91],"Stabilized":[92],"finite":[93],"element":[94],"approximations":[95,101],"in":[96,102,116],"physical":[97,120],"space":[98,104,121,124],"collocation":[100],"are":[105,134],"applied":[106],"discretize":[108],"system.":[111],"global":[113],"error":[114],"estimate":[115],"product":[118],"numerical":[127,132],"approximation":[128],"derived.":[130],"Illustrative":[131],"experiments":[133],"provided.":[135]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
