{"id":"https://openalex.org/W4385807486","doi":"https://doi.org/10.1137/22m1530720","title":"Flow Measurement: An Inverse Problem Formulation","display_name":"Flow Measurement: An Inverse Problem Formulation","publication_year":2023,"publication_date":"2023-08-14","ids":{"openalex":"https://openalex.org/W4385807486","doi":"https://doi.org/10.1137/22m1530720"},"language":"en","primary_location":{"id":"doi:10.1137/22m1530720","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1530720","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5009425326","display_name":"Jiwei Li","orcid":"https://orcid.org/0000-0002-0275-4872"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiwei Li","raw_affiliation_strings":["Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059814255","display_name":"Lingyun Qiu","orcid":"https://orcid.org/0000-0002-2204-7235"},"institutions":[{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Lingyun Qiu","raw_affiliation_strings":["Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China, and Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, 101408, China"],"raw_orcid":"https://orcid.org/0000-0002-2204-7235","affiliations":[{"raw_affiliation_string":"Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China, and Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, 101408, China","institution_ids":["https://openalex.org/I4210157032"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057471586","display_name":"Zhongjing Wang","orcid":"https://orcid.org/0000-0001-9374-564X"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongjing Wang","raw_affiliation_strings":["Department of Hydraulic Engineering, Tsinghua University, Beijing, 100084, China, and Breeding Base for State Key Laboratory of Land Degradation and Ecological Restoration in Northwest China, Ningxia University, Yinchuan, Ningxia, 750021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Hydraulic Engineering, Tsinghua University, Beijing, 100084, China, and Breeding Base for State Key Laboratory of Land Degradation and Ecological Restoration in Northwest China, Ningxia University, Yinchuan, Ningxia, 750021, China","institution_ids":["https://openalex.org/I21642278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075481578","display_name":"Hui Yu","orcid":"https://orcid.org/0000-0001-8962-5856"},"institutions":[{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Hui Yu","raw_affiliation_strings":["Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China, and Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, 101408, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China, and Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, 101408, China","institution_ids":["https://openalex.org/I4210157032"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1457,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.38386124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"83","issue":"4","first_page":"1654","last_page":"1676"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12537","display_name":"Flow Measurement and Analysis","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T12537","display_name":"Flow Measurement and Analysis","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9977999925613403,"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"}},{"id":"https://openalex.org/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.722339391708374},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5434629321098328},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5432314872741699},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5276809334754944},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.49480074644088745},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48351505398750305},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4608862102031708},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45834869146347046},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4231870472431183},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4025368392467499},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3851354718208313},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2826387882232666},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11644503474235535}],"concepts":[{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.722339391708374},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5434629321098328},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5432314872741699},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5276809334754944},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.49480074644088745},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48351505398750305},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4608862102031708},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45834869146347046},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4231870472431183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4025368392467499},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3851354718208313},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2826387882232666},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11644503474235535},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1530720","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1530720","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5773176882","display_name":null,"funder_award_id":"U2243601","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G615319576","display_name":"\u57fa\u4e8e\u6700\u4f18\u8f93\u8fd0\u7406\u8bba\u7684\u6ce2\u52a8\u65b9\u7a0b\u53cd\u95ee\u9898\u7684\u7406\u8bba\u5206\u6790\u4e0e\u7b97\u6cd5\u7814\u7a76","funder_award_id":"11971258","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6709508951","display_name":null,"funder_award_id":"12271288","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W604456982","https://openalex.org/W1538427723","https://openalex.org/W1576432484","https://openalex.org/W1855169650","https://openalex.org/W1867429401","https://openalex.org/W1974310230","https://openalex.org/W1978148400","https://openalex.org/W1985147923","https://openalex.org/W1988496676","https://openalex.org/W1993774250","https://openalex.org/W1997692791","https://openalex.org/W2000093599","https://openalex.org/W2002305320","https://openalex.org/W2005705177","https://openalex.org/W2024375867","https://openalex.org/W2024444850","https://openalex.org/W2025189589","https://openalex.org/W2036371925","https://openalex.org/W2039570494","https://openalex.org/W2050374665","https://openalex.org/W2060960671","https://openalex.org/W2079480003","https://openalex.org/W2090894814","https://openalex.org/W2124607194","https://openalex.org/W2162473564","https://openalex.org/W2166205184","https://openalex.org/W2180927545","https://openalex.org/W2182253600","https://openalex.org/W2212393489","https://openalex.org/W2229054633","https://openalex.org/W2275729135","https://openalex.org/W2330942361","https://openalex.org/W2334333388","https://openalex.org/W2500935354","https://openalex.org/W2564871355","https://openalex.org/W2591931699","https://openalex.org/W2749167058","https://openalex.org/W2952432971","https://openalex.org/W2963822251","https://openalex.org/W2963932367","https://openalex.org/W2979202016","https://openalex.org/W3006225581","https://openalex.org/W3019043644","https://openalex.org/W3035241619","https://openalex.org/W3080862145","https://openalex.org/W3094609288","https://openalex.org/W3102548234","https://openalex.org/W3119219231","https://openalex.org/W3156266014","https://openalex.org/W3187074974","https://openalex.org/W4223442312","https://openalex.org/W4225960510","https://openalex.org/W4249022109","https://openalex.org/W4306146775","https://openalex.org/W4307388625"],"related_works":["https://openalex.org/W4317939968","https://openalex.org/W4390144857","https://openalex.org/W2638372604","https://openalex.org/W1508692582","https://openalex.org/W2331917905","https://openalex.org/W2196719869","https://openalex.org/W3155039083","https://openalex.org/W2133690079","https://openalex.org/W2111215486","https://openalex.org/W1970914699"],"abstract_inverted_index":{"This":[0,68],"paper":[1],"proposes":[2],"a":[3,119],"new":[4],"mathematical":[5,59],"formulation":[6,114],"for":[7,16],"flow":[8,43,62],"measurement":[9,63,123],"based":[10],"on":[11,49],"the":[12,25,42,46,57,74,81,92],"inverse":[13,36],"source":[14,37],"problem":[15,38],"wave":[17],"equations":[18],"with":[19],"partial":[20,65],"boundary":[21,50],"measurement.":[22],"Inspired":[23],"by":[24],"design":[26],"of":[27,61,96,117,121],"acoustic":[28],"Doppler":[29],"current":[30],"profilers":[31],"(ADCPs),":[32],"we":[33],"formulate":[34],"an":[35],"that":[39,103],"can":[40],"recover":[41],"field":[44,83],"from":[45],"observation":[47],"data":[48],"receivers.":[51],"To":[52],"our":[53,97,104],"knowledge,":[54],"this":[55],"is":[56,70,77,106,115],"first":[58],"model":[60,69,105],"using":[64],"differential":[66],"equations.":[67],"proved":[71],"well-posed,":[72],"and":[73,94],"corresponding":[75],"algorithm":[76],"derived":[78],"to":[79,90],"compute":[80],"velocity":[82],"efficiently.":[84],"Extensive":[85],"numerical":[86],"simulations":[87],"are":[88],"performed":[89],"demonstrate":[91,102],"accuracy":[93],"robustness":[95],"model.":[98],"The":[99],"comparison":[100],"results":[101],"ten":[107],"times":[108],"more":[109],"accurate":[110],"than":[111],"ADCP.":[112],"Our":[113],"capable":[116],"simulating":[118],"variety":[120],"practical":[122],"scenarios.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}