{"id":"https://openalex.org/W2603227110","doi":"https://doi.org/10.1137/17m1122487","title":"Globally Strictly Convex Cost Functional for a 1-D Inverse Medium Scattering Problem with Experimental Data","display_name":"Globally Strictly Convex Cost Functional for a 1-D Inverse Medium Scattering Problem with Experimental Data","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2603227110","doi":"https://doi.org/10.1137/17m1122487","mag":"2603227110"},"language":"en","primary_location":{"id":"doi:10.1137/17m1122487","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1122487","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/A5006099683","display_name":"Michael V. Klibanov","orcid":"https://orcid.org/0000-0001-5179-6879"},"institutions":[{"id":"https://openalex.org/I102149020","display_name":"University of North Carolina at Charlotte","ror":"https://ror.org/04dawnj30","country_code":"US","type":"education","lineage":["https://openalex.org/I102149020"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael V. Klibanov","raw_affiliation_strings":["Department of Mathematics & Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA","institution_ids":["https://openalex.org/I102149020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110605170","display_name":"Aleksandr E. Kolesov","orcid":null},"institutions":[{"id":"https://openalex.org/I102149020","display_name":"University of North Carolina at Charlotte","ror":"https://ror.org/04dawnj30","country_code":"US","type":"education","lineage":["https://openalex.org/I102149020"]},{"id":"https://openalex.org/I131550537","display_name":"North-Eastern Federal University","ror":"https://ror.org/02p6aa271","country_code":"RU","type":"education","lineage":["https://openalex.org/I131550537"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"Aleksandr E. Kolesov","raw_affiliation_strings":["Department of Mathematics & Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA","Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA","institution_ids":["https://openalex.org/I102149020"]},{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, Russia","institution_ids":["https://openalex.org/I131550537"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032510248","display_name":"Lam Nguyen","orcid":"https://orcid.org/0000-0003-3347-4379"},"institutions":[{"id":"https://openalex.org/I166416128","display_name":"DEVCOM Army Research Laboratory","ror":"https://ror.org/011hc8f90","country_code":"US","type":"government","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796","https://openalex.org/I166416128","https://openalex.org/I2802705668","https://openalex.org/I4210154437"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lam Nguyen","raw_affiliation_strings":["US Army Research Laboratory, 2800 Powder Mill Road Adelphi, MD 20783-1197, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"US Army Research Laboratory, 2800 Powder Mill Road Adelphi, MD 20783-1197, USA","institution_ids":["https://openalex.org/I166416128"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112577036","display_name":"Anders Sullivan","orcid":null},"institutions":[{"id":"https://openalex.org/I166416128","display_name":"DEVCOM Army Research Laboratory","ror":"https://ror.org/011hc8f90","country_code":"US","type":"government","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796","https://openalex.org/I166416128","https://openalex.org/I2802705668","https://openalex.org/I4210154437"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anders Sullivan","raw_affiliation_strings":["US Army Research Laboratory, 2800 Powder Mill Road Adelphi, MD 20783-1197, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"US Army Research Laboratory, 2800 Powder Mill Road Adelphi, MD 20783-1197, USA","institution_ids":["https://openalex.org/I166416128"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.9267,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.99208725,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"77","issue":"5","first_page":"1733","last_page":"1755"},"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":0.9995999932289124,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.5862704515457153},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.551996648311615},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5465256571769714},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.541652500629425},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5028449892997742},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4743039608001709},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.45501604676246643},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4330523908138275},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4141082465648651},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3403635621070862},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3401463031768799},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3284267783164978},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18540099263191223}],"concepts":[{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.5862704515457153},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.551996648311615},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5465256571769714},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.541652500629425},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5028449892997742},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4743039608001709},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.45501604676246643},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4330523908138275},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4141082465648651},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3403635621070862},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3401463031768799},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3284267783164978},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18540099263191223}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/17m1122487","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1122487","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/G1468538915","display_name":null,"funder_award_id":"W911NF-15-1-0233","funder_id":"https://openalex.org/F4320338295","funder_display_name":"Army Research Laboratory"},{"id":"https://openalex.org/G1841980472","display_name":null,"funder_award_id":"N00014-15-1-2330","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5259331294","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338295","funder_display_name":"Army Research Laboratory"},{"id":"https://openalex.org/G5385673730","display_name":null,"funder_award_id":"W911NF-15-1-","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G6713438582","display_name":null,"funder_award_id":"W911NF-15-1-0233","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"},{"id":"https://openalex.org/F4320338295","display_name":"Army Research Laboratory","ror":"https://ror.org/011hc8f90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1929790066","https://openalex.org/W1940997543","https://openalex.org/W1957703394","https://openalex.org/W1974321114","https://openalex.org/W1974525077","https://openalex.org/W1986345783","https://openalex.org/W1988566384","https://openalex.org/W2001998908","https://openalex.org/W2008168169","https://openalex.org/W2011402677","https://openalex.org/W2016782326","https://openalex.org/W2023605138","https://openalex.org/W2023988473","https://openalex.org/W2044006425","https://openalex.org/W2046432369","https://openalex.org/W2059862950","https://openalex.org/W2061448204","https://openalex.org/W2069936251","https://openalex.org/W2074677917","https://openalex.org/W2077344911","https://openalex.org/W2091337713","https://openalex.org/W2091338985","https://openalex.org/W2092958877","https://openalex.org/W2101079135","https://openalex.org/W2120440916","https://openalex.org/W2146438206","https://openalex.org/W2215708517","https://openalex.org/W2317997412","https://openalex.org/W2405218625","https://openalex.org/W2520372884","https://openalex.org/W2565502280","https://openalex.org/W2570865589","https://openalex.org/W2591593131","https://openalex.org/W2962970054","https://openalex.org/W2963112046","https://openalex.org/W2963153509","https://openalex.org/W2963366171","https://openalex.org/W2964260020","https://openalex.org/W3099284295"],"related_works":["https://openalex.org/W2520812953","https://openalex.org/W2128608246","https://openalex.org/W3101167575","https://openalex.org/W2545426741","https://openalex.org/W1567523647","https://openalex.org/W2144075718","https://openalex.org/W4321641047","https://openalex.org/W2755915683","https://openalex.org/W2033816073","https://openalex.org/W651169017"],"abstract_inverted_index":{"A":[0],"new":[1],"numerical":[2],"method":[3,17,87],"is":[4,18,30,40,44,99],"proposed":[5],"for":[6,50,103],"a":[7,24,31,67,111],"one-dimensional":[8],"inverse":[9],"medium":[10],"scattering":[11],"problem":[12],"with":[13,71],"multifrequency":[14],"data.":[15],"This":[16],"based":[19],"on":[20,65],"the":[21,41,47,51,58,72,84,89],"construction":[22],"of":[23,57,83,96,114],"weighted":[25],"cost":[26],"functional.":[27],"The":[28,55],"weight":[29,33],"Carleman":[32,48],"function":[34,42],"(CWF).":[35],"In":[36],"other":[37],"words,":[38],"this":[39,61,115],"which":[43],"present":[45],"in":[46,77],"estimate":[49],"undelying":[52],"differential":[53],"operator.":[54],"presence":[56],"CWF":[59],"makes":[60],"functional":[62],"strictly":[63],"convex":[64],"any":[66,94],"priori":[68],"chosen":[69],"ball":[70,98],"center":[73],"at":[74],"\\":[75],"0\\":[76],"an":[78],"appropriate":[79],"Hilbert":[80],"space.":[81],"Convergence":[82],"gradient":[85],"minimization":[86],"to":[88],"exact":[90],"solution":[91],"starting":[92],"from":[93],"point":[95],"that":[97],"proved.":[100],"Computational":[101],"results":[102],"both":[104],"computationally":[105],"simulated":[106],"and":[107],"experimental":[108],"data":[109],"show":[110],"good":[112],"accuracy":[113],"method.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":8}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}
