{"id":"https://openalex.org/W4387816580","doi":"https://doi.org/10.1137/22m1519146","title":"Reconstruction of an Interface Between the Fluid and Piezoelectric Solid by Acoustic Measurements","display_name":"Reconstruction of an Interface Between the Fluid and Piezoelectric Solid by Acoustic Measurements","publication_year":2023,"publication_date":"2023-10-20","ids":{"openalex":"https://openalex.org/W4387816580","doi":"https://doi.org/10.1137/22m1519146"},"language":"en","primary_location":{"id":"doi:10.1137/22m1519146","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1519146","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/A5103181866","display_name":"Chengyu Wu","orcid":"https://orcid.org/0000-0002-6550-6825"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chengyu Wu","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, Shaanxi, China"],"raw_orcid":"https://orcid.org/0000-0002-6550-6825","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064182719","display_name":"Jiaqing Yang","orcid":"https://orcid.org/0000-0003-1441-6501"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiaqing Yang","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, Shaanxi, China"],"raw_orcid":"https://orcid.org/0000-0003-1441-6501","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103181866"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24095403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"83","issue":"5","first_page":"2073","last_page":"2095"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"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":1.0,"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/T11558","display_name":"Composite Material Mechanics","score":0.9987999796867371,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6403589248657227},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.629387617111206},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.541531503200531},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5289891958236694},{"id":"https://openalex.org/keywords/piezoelectricity","display_name":"Piezoelectricity","score":0.49904489517211914},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4889446496963501},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.4517844617366791},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.4427889585494995},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.43727362155914307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42454224824905396},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4142977297306061},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.35311248898506165},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2806968688964844},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2630468010902405},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25252050161361694},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.14217397570610046},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06900820136070251}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6403589248657227},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.629387617111206},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.541531503200531},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5289891958236694},{"id":"https://openalex.org/C100082104","wikidata":"https://www.wikidata.org/wiki/Q183759","display_name":"Piezoelectricity","level":2,"score":0.49904489517211914},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4889446496963501},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.4517844617366791},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.4427889585494995},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.43727362155914307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42454224824905396},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4142977297306061},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.35311248898506165},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2806968688964844},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2630468010902405},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25252050161361694},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.14217397570610046},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06900820136070251},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"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/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1519146","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1519146","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":[{"score":0.5400000214576721,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G6664620820","display_name":null,"funder_award_id":"12122114","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":27,"referenced_works":["https://openalex.org/W138643006","https://openalex.org/W224874298","https://openalex.org/W1523113578","https://openalex.org/W1972357155","https://openalex.org/W1982933307","https://openalex.org/W1989135456","https://openalex.org/W2028049989","https://openalex.org/W2032118147","https://openalex.org/W2037580069","https://openalex.org/W2049349933","https://openalex.org/W2058454412","https://openalex.org/W2066812079","https://openalex.org/W2092764694","https://openalex.org/W2122777567","https://openalex.org/W2136125906","https://openalex.org/W2142173212","https://openalex.org/W2156097217","https://openalex.org/W2230104944","https://openalex.org/W2315109986","https://openalex.org/W2329119885","https://openalex.org/W2527953407","https://openalex.org/W2730753723","https://openalex.org/W2770104321","https://openalex.org/W2964337083","https://openalex.org/W3113218256","https://openalex.org/W4220831577","https://openalex.org/W4294364722"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W3155039083","https://openalex.org/W1543136835","https://openalex.org/W4210375670"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,97],"consider":[4],"an":[5,12,99],"inverse":[6,48],"interaction":[7,28,70],"scattering":[8],"problem":[9,49],"of":[10,26,65,68,87,110],"recovering":[11],"interface":[13,89],"between":[14,90],"the":[15,24,27,37,47,66,69,75,83,88,91,108],"fluid":[16,92],"and":[17,85,93,105,118],"piezoelectric":[18,94],"solid":[19],"from":[20],"acoustic":[21],"measurements.":[22],"First,":[23],"well-posedness":[25],"model":[29],"is":[30,78,114],"shown":[31],"in":[32],"associated":[33,100],"function":[34],"spaces":[35],"by":[36,50],"variational":[38],"method.":[39],"Then":[40],"new":[41],"uniqueness":[42],"results":[43],"are":[44],"proved":[45],"for":[46],"taking":[51],"far-field":[52],"data":[53],"at":[54,115],"one":[55],"fixed":[56],"frequency,":[57],"based":[58],"on":[59,128],"a":[60,62,125],"uniform":[61],"priori":[63],"estimate":[64],"solutions":[67],"model.":[71],"With":[72],"these":[73],"results,":[74],"factorization":[76],"method":[77],"then":[79],"justified":[80],"to":[81],"reconstruct":[82],"shape":[84],"location":[86],"solid.":[95],"Finally,":[96],"investigate":[98],"interior":[101,111],"transmission":[102,112],"eigenvalue":[103],"problem,":[104],"show":[106],"that":[107],"set":[109],"eigenvalues":[113],"most":[116],"discrete":[117],"with":[119],"no":[120],"finite":[121],"accumulation":[122],"point":[123],"under":[124],"natural":[126],"assumption":[127],"physical":[129],"coefficients.":[130]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
