{"id":"https://openalex.org/W2773081136","doi":"https://doi.org/10.1137/15m1007951","title":"Bottom Detection Through Surface Measurements on Water Waves","display_name":"Bottom Detection Through Surface Measurements on Water Waves","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2773081136","doi":"https://doi.org/10.1137/15m1007951","mag":"2773081136"},"language":"en","primary_location":{"id":"doi:10.1137/15m1007951","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1007951","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","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/A5044177527","display_name":"Marco A. Fontelos","orcid":"https://orcid.org/0000-0003-4986-1752"},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. A. Fontelos","raw_affiliation_strings":["Universidad Autonoma de Madrid;"],"affiliations":[{"raw_affiliation_string":"Universidad Autonoma de Madrid;","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035910062","display_name":"Rodrigo Lecaros","orcid":"https://orcid.org/0000-0003-3929-7684"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Lecaros","raw_affiliation_strings":["Department of Mechanical Engineering"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109385094","display_name":"Juan Carlos Cort\u00e9s L\u00f3pez","orcid":null},"institutions":[{"id":"https://openalex.org/I3130401523","display_name":"Universidad Yachay Tech","ror":"https://ror.org/04jjswc10","country_code":"EC","type":"education","lineage":["https://openalex.org/I3130401523"]}],"countries":["EC"],"is_corresponding":false,"raw_author_name":"J. C. L\u00f3pez","raw_affiliation_strings":["Yachay Tech"],"affiliations":[{"raw_affiliation_string":"Yachay Tech","institution_ids":["https://openalex.org/I3130401523"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101893251","display_name":"Jaime H. Ortega","orcid":"https://orcid.org/0000-0001-9751-7513"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"J. H. Ortega","raw_affiliation_strings":["Universidad de Chile"],"affiliations":[{"raw_affiliation_string":"Universidad de Chile","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044177527"],"corresponding_institution_ids":["https://openalex.org/I63634437"],"apc_list":null,"apc_paid":null,"fwci":1.1381,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.76316316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"55","issue":"6","first_page":"3890","last_page":"3907"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9987999796867371,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9933000206947327,"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/inviscid-flow","display_name":"Inviscid flow","score":0.7858794927597046},{"id":"https://openalex.org/keywords/velocity-potential","display_name":"Velocity potential","score":0.6821718811988831},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6568248867988586},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.6478998064994812},{"id":"https://openalex.org/keywords/bathymetry","display_name":"Bathymetry","score":0.6044618487358093},{"id":"https://openalex.org/keywords/conservative-vector-field","display_name":"Conservative vector field","score":0.5715764760971069},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5581369400024414},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5306795239448547},{"id":"https://openalex.org/keywords/free-surface","display_name":"Free surface","score":0.5270906686782837},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5246070623397827},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5147936344146729},{"id":"https://openalex.org/keywords/surface-wave","display_name":"Surface wave","score":0.4811457395553589},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4508591890335083},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.36669427156448364},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3388941287994385},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2620316445827484},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.18035438656806946},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08762961626052856}],"concepts":[{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.7858794927597046},{"id":"https://openalex.org/C157216528","wikidata":"https://www.wikidata.org/wiki/Q1331126","display_name":"Velocity potential","level":3,"score":0.6821718811988831},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6568248867988586},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6478998064994812},{"id":"https://openalex.org/C174943157","wikidata":"https://www.wikidata.org/wiki/Q810826","display_name":"Bathymetry","level":2,"score":0.6044618487358093},{"id":"https://openalex.org/C147457402","wikidata":"https://www.wikidata.org/wiki/Q1588205","display_name":"Conservative vector field","level":3,"score":0.5715764760971069},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5581369400024414},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5306795239448547},{"id":"https://openalex.org/C171889981","wikidata":"https://www.wikidata.org/wiki/Q1454008","display_name":"Free surface","level":2,"score":0.5270906686782837},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5246070623397827},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5147936344146729},{"id":"https://openalex.org/C84174578","wikidata":"https://www.wikidata.org/wiki/Q889796","display_name":"Surface wave","level":2,"score":0.4811457395553589},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4508591890335083},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.36669427156448364},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3388941287994385},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2620316445827484},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.18035438656806946},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08762961626052856},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1007951","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1007951","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:repositorio.uchile.cl:2250/147551","is_oa":false,"landing_page_url":"http://repositorio.uchile.cl/handle/2250/147551","pdf_url":null,"source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"is_oa":false,"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":"SIAM Journal on Control and Optimization","raw_type":"Art\u00edculo de revista"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","score":0.7300000190734863,"id":"https://metadata.un.org/sdg/6"}],"awards":[{"id":"https://openalex.org/G1843560872","display_name":null,"funder_award_id":"MTM2014-57158-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G3999441653","display_name":null,"funder_award_id":"PFB03-CMM","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G6382803820","display_name":null,"funder_award_id":"Fondecyt 1111012","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G7712628643","display_name":null,"funder_award_id":"Doctorado 21141052.","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1485835792","https://openalex.org/W1508205267","https://openalex.org/W1577278735","https://openalex.org/W1608561939","https://openalex.org/W1979080513","https://openalex.org/W1981177799","https://openalex.org/W2003405066","https://openalex.org/W2003943233","https://openalex.org/W2019132011","https://openalex.org/W2087467423","https://openalex.org/W2090885565","https://openalex.org/W2093432185","https://openalex.org/W2161577223","https://openalex.org/W2592223562","https://openalex.org/W2916835505","https://openalex.org/W3003932625"],"related_works":["https://openalex.org/W2100454106","https://openalex.org/W1978223485","https://openalex.org/W3103187198","https://openalex.org/W4324319056","https://openalex.org/W2556745411","https://openalex.org/W2991553641","https://openalex.org/W1974589110","https://openalex.org/W2606338573","https://openalex.org/W2000248102","https://openalex.org/W1985479002"],"abstract_inverted_index":{"The":[0],"direct":[1],"problem":[2,8,45],"of":[3,9,31,46,50,55,63,66,90,113],"water-wave":[4,74],"equations":[5],"is":[6,36],"the":[7,11,29,32,34,43,48,51,67,73,86,91,100,106,111,114,121],"determining":[10],"surface":[12],"and":[13,25,76],"its":[14,77],"velocity":[15,26,78],"potential,":[16,27],"in":[17],"time":[18,88],"$T>0$,":[19],"for":[20,124],"a":[21,64,95],"given":[22,72],"initial":[23],"profile":[24,30],"where":[28],"bottom,":[33,115],"bathymetry,":[35],"known.":[37],"In":[38,70],"this":[39,125],"paper,":[40],"we":[41,98,104],"study":[42],"inverse":[44,126],"recovering":[47],"shape":[49,112],"solid":[52],"bottom":[53],"boundary":[54],"an":[56,81],"inviscid,":[57],"irrotational,":[58],"incompressible":[59],"fluid":[60],"from":[61],"measurements":[62],"portion":[65],"free":[68,92],"surface.":[69],"particular,":[71],"height":[75],"potential":[79],"on":[80,94],"open":[82],"set,":[83],"together":[84],"with":[85,108],"first":[87],"derivative":[89],"surface,":[93],"single":[96],"time,":[97],"address":[99],"identifiability":[101],"problem.":[102,127],"Moreover":[103],"compute":[105],"derivatives":[107],"respect":[109],"to":[110,119],"which":[116],"allows":[117],"us":[118],"obtain":[120],"optimality":[122],"conditions":[123]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
