{"id":"https://openalex.org/W2800945246","doi":"https://doi.org/10.1007/s10915-018-0713-y","title":"A Sparse Grid Stochastic Collocation Upwind Finite Volume Element Method for the Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations","display_name":"A Sparse Grid Stochastic Collocation Upwind Finite Volume Element Method for the Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations","publication_year":2018,"publication_date":"2018-04-25","ids":{"openalex":"https://openalex.org/W2800945246","doi":"https://doi.org/10.1007/s10915-018-0713-y","mag":"2800945246"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-018-0713-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0713-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","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/A5069736915","display_name":"Liang Ge","orcid":"https://orcid.org/0000-0001-5136-8081"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Ge","raw_affiliation_strings":["School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, China","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005738289","display_name":"Lianhai Wang","orcid":"https://orcid.org/0000-0002-5701-3465"},"institutions":[{"id":"https://openalex.org/I4210158984","display_name":"National Supercomputing Center in Wuxi","ror":"https://ror.org/04ypjrs34","country_code":"CN","type":"other","lineage":["https://openalex.org/I4210158984"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lianhai Wang","raw_affiliation_strings":["Shandong Provincial Key Laboratory of Computer Networks, Shandong Computer Science Center (National Supercomputer Center in Jinan), Jinan, 250014, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shandong Provincial Key Laboratory of Computer Networks, Shandong Computer Science Center (National Supercomputer Center in Jinan), Jinan, 250014, China","institution_ids":["https://openalex.org/I4210158984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008378910","display_name":"Yanzhen Chang","orcid":"https://orcid.org/0000-0002-5317-3525"},"institutions":[{"id":"https://openalex.org/I75390827","display_name":"Beijing University of Chemical Technology","ror":"https://ror.org/00df5yc52","country_code":"CN","type":"education","lineage":["https://openalex.org/I75390827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanzhen Chang","raw_affiliation_strings":["Department of Mathematics, Beijing University of Chemical Technology, Beijing, 100029, China"],"raw_orcid":"https://orcid.org/0000-0002-5317-3525","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Beijing University of Chemical Technology, Beijing, 100029, China","institution_ids":["https://openalex.org/I75390827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008378910"],"corresponding_institution_ids":["https://openalex.org/I75390827"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.04625214,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"77","issue":"1","first_page":"524","last_page":"551"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"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":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9980000257492065,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8132612705230713},{"id":"https://openalex.org/keywords/upwind-scheme","display_name":"Upwind scheme","score":0.7598729729652405},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.6462875604629517},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.6220320463180542},{"id":"https://openalex.org/keywords/sparse-grid","display_name":"Sparse grid","score":0.6001853942871094},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.5574251413345337},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5338776111602783},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4829922914505005},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.45155513286590576},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.43821555376052856},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4325380325317383},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.43200817704200745},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42079436779022217},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36760520935058594},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18366312980651855},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.16482552886009216},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.08992978930473328},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0867982804775238},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.06858468055725098}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8132612705230713},{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.7598729729652405},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.6462875604629517},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.6220320463180542},{"id":"https://openalex.org/C156439662","wikidata":"https://www.wikidata.org/wiki/Q7573793","display_name":"Sparse grid","level":2,"score":0.6001853942871094},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.5574251413345337},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5338776111602783},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4829922914505005},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.45155513286590576},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.43821555376052856},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4325380325317383},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.43200817704200745},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42079436779022217},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36760520935058594},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18366312980651855},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.16482552886009216},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.08992978930473328},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0867982804775238},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.06858468055725098},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-018-0713-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0713-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1521920611","https://openalex.org/W1538934584","https://openalex.org/W1820125862","https://openalex.org/W1893779446","https://openalex.org/W1966100240","https://openalex.org/W1967011851","https://openalex.org/W1968573427","https://openalex.org/W1971099220","https://openalex.org/W1982421072","https://openalex.org/W1983156129","https://openalex.org/W2013576021","https://openalex.org/W2015765682","https://openalex.org/W2022977680","https://openalex.org/W2023963475","https://openalex.org/W2027362114","https://openalex.org/W2034942773","https://openalex.org/W2040905071","https://openalex.org/W2050874588","https://openalex.org/W2053632598","https://openalex.org/W2055460625","https://openalex.org/W2057523332","https://openalex.org/W2060528584","https://openalex.org/W2067780150","https://openalex.org/W2083845086","https://openalex.org/W2092622790","https://openalex.org/W2112649070","https://openalex.org/W2142863015","https://openalex.org/W2143591652","https://openalex.org/W2321957512","https://openalex.org/W2498839538","https://openalex.org/W2500516842","https://openalex.org/W2529381973","https://openalex.org/W2555558477","https://openalex.org/W2600544461","https://openalex.org/W2616506407","https://openalex.org/W3194721321","https://openalex.org/W4206537305","https://openalex.org/W4233367026","https://openalex.org/W4233755870","https://openalex.org/W4255657275","https://openalex.org/W4285719527","https://openalex.org/W4292079189","https://openalex.org/W4298228534"],"related_works":["https://openalex.org/W2994527389","https://openalex.org/W2908969745","https://openalex.org/W2078318892","https://openalex.org/W3128387452","https://openalex.org/W2791210196","https://openalex.org/W1987365920","https://openalex.org/W2031073114","https://openalex.org/W2019357411","https://openalex.org/W322101810","https://openalex.org/W2384941625"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}