{"id":"https://openalex.org/W1982933307","doi":"https://doi.org/10.1137/120883724","title":"The Factorization Method for Reconstructing a Penetrable Obstacle with Unknown Buried Objects","display_name":"The Factorization Method for Reconstructing a Penetrable Obstacle with Unknown Buried Objects","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1982933307","doi":"https://doi.org/10.1137/120883724","mag":"1982933307"},"language":"en","primary_location":{"id":"doi:10.1137/120883724","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120883724","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/A5064182719","display_name":"Jiaqing Yang","orcid":"https://orcid.org/0000-0003-1441-6501"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jiaqing Yang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100335192","display_name":"Bo Zhang","orcid":"https://orcid.org/0000-0001-7355-0941"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bo Zhang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5047634561","display_name":"Haiwen Zhang","orcid":"https://orcid.org/0000-0003-4035-4754"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haiwen Zhang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064182719"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.8356,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.98153539,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"73","issue":"2","first_page":"617","last_page":"635"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9991000294685364,"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/obstacle","display_name":"Obstacle","score":0.9098619222640991},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6690000295639038},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.6221867799758911},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.571553647518158},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.5630086660385132},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.4861130714416504},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4499805271625519},{"id":"https://openalex.org/keywords/obstacle-problem","display_name":"Obstacle problem","score":0.4213234782218933},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41541174054145813},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4147259294986725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3517267107963562},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.3271699547767639},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3210786283016205},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30731499195098877},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25093644857406616},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.21179357171058655},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.188017338514328},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.0822320282459259}],"concepts":[{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.9098619222640991},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6690000295639038},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6221867799758911},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.571553647518158},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.5630086660385132},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.4861130714416504},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4499805271625519},{"id":"https://openalex.org/C132369183","wikidata":"https://www.wikidata.org/wiki/Q3406250","display_name":"Obstacle problem","level":3,"score":0.4213234782218933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41541174054145813},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4147259294986725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3517267107963562},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.3271699547767639},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3210786283016205},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30731499195098877},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25093644857406616},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.21179357171058655},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.188017338514328},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0822320282459259},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/120883724","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120883724","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":[{"id":"https://metadata.un.org/sdg/11","score":0.49000000953674316,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1968349290","https://openalex.org/W1973885765","https://openalex.org/W1992920843","https://openalex.org/W1993995381","https://openalex.org/W2000959876","https://openalex.org/W2009020532","https://openalex.org/W2009891235","https://openalex.org/W2031257834","https://openalex.org/W2037717822","https://openalex.org/W2041169639","https://openalex.org/W2046059807","https://openalex.org/W2055501468","https://openalex.org/W2075532351","https://openalex.org/W2085160544","https://openalex.org/W2085315070","https://openalex.org/W2087400951","https://openalex.org/W2089343106","https://openalex.org/W2092594609","https://openalex.org/W2092764694","https://openalex.org/W2110387739","https://openalex.org/W2121020295","https://openalex.org/W2130850105","https://openalex.org/W2131535792","https://openalex.org/W2204162201","https://openalex.org/W2316194006","https://openalex.org/W2334058209"],"related_works":["https://openalex.org/W2368569380","https://openalex.org/W2063245973","https://openalex.org/W1989743438","https://openalex.org/W4226485513","https://openalex.org/W1979757175","https://openalex.org/W1993397232","https://openalex.org/W4238417450","https://openalex.org/W1482810786","https://openalex.org/W2781836279","https://openalex.org/W4297690002"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"concerned":[3],"with":[4,19],"the":[5,29,37,45,55],"inverse":[6],"problem":[7],"of":[8,10],"scattering":[9],"time-harmonic":[11],"acoustic":[12],"waves":[13],"by":[14],"an":[15],"inhomogeneous":[16],"penetrable":[17,38],"obstacle":[18,39],"buried":[20,46],"objects":[21,47],"inside.":[22,48],"We":[23],"prove":[24],"under":[25],"certain":[26],"conditions":[27],"that":[28],"factorization":[30],"method":[31],"can":[32],"be":[33],"applied":[34],"to":[35],"reconstruct":[36],"from":[40],"far-field":[41],"data":[42],"without":[43],"knowing":[44],"Numerical":[49],"examples":[50],"are":[51],"also":[52],"provided":[53],"illustrating":[54],"inversion":[56],"algorithm.":[57]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6}],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}