{"id":"https://openalex.org/W3047413371","doi":"https://doi.org/10.1080/00207160.2020.1802015","title":"Reconstruction for shape and impedance in an inverse scattering problem","display_name":"Reconstruction for shape and impedance in an inverse scattering problem","publication_year":2020,"publication_date":"2020-08-03","ids":{"openalex":"https://openalex.org/W3047413371","doi":"https://doi.org/10.1080/00207160.2020.1802015","mag":"3047413371"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2020.1802015","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1802015","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5028263364","display_name":"Hai\u2010Hua Qin","orcid":null},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hai-Hua Qin","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058764558","display_name":"Hong\u2010Kui Pang","orcid":null},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hong-Kui Pang","raw_affiliation_strings":["School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I118574674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057410828","display_name":"Ji-Chuan Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji-Chuan Liu","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I25757504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058764558"],"corresponding_institution_ids":["https://openalex.org/I118574674"],"apc_list":null,"apc_paid":null,"fwci":0.3947,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55979038,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"98","issue":"5","first_page":"1015","last_page":"1028"},"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":0.9994000196456909,"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":0.9940999746322632,"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/inverse-problem","display_name":"Inverse problem","score":0.7634660005569458},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.734426736831665},{"id":"https://openalex.org/keywords/inverse-scattering-problem","display_name":"Inverse scattering problem","score":0.721724271774292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6845064759254456},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5517017841339111},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5356703996658325},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.5237436294555664},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4889144003391266},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45167863368988037},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.44600147008895874},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.4230797290802002},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4180012047290802},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4028182923793793},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3715142011642456},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.26624011993408203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14310631155967712},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12071141600608826},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1175737977027893}],"concepts":[{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.7634660005569458},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.734426736831665},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.721724271774292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6845064759254456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5517017841339111},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5356703996658325},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.5237436294555664},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4889144003391266},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45167863368988037},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.44600147008895874},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.4230797290802002},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4180012047290802},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4028182923793793},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3715142011642456},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26624011993408203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14310631155967712},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12071141600608826},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1175737977027893},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2020.1802015","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1802015","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4699999988079071,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G3887791422","display_name":null,"funder_award_id":"BK20171162","funder_id":"https://openalex.org/F4320335595","funder_display_name":"National Natural Science Foundation of China-Yunnan Joint Fund"},{"id":"https://openalex.org/G8593572626","display_name":null,"funder_award_id":"11601512","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"},{"id":"https://openalex.org/F4320335595","display_name":"National Natural Science Foundation of China-Yunnan Joint Fund","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W224874298","https://openalex.org/W590181228","https://openalex.org/W614932401","https://openalex.org/W1523113578","https://openalex.org/W1602383637","https://openalex.org/W1968335503","https://openalex.org/W1976610132","https://openalex.org/W1980507160","https://openalex.org/W1983476482","https://openalex.org/W1997270442","https://openalex.org/W2000061950","https://openalex.org/W2002400157","https://openalex.org/W2006823178","https://openalex.org/W2007977769","https://openalex.org/W2020144915","https://openalex.org/W2041117384","https://openalex.org/W2043849694","https://openalex.org/W2054370406","https://openalex.org/W2057151826","https://openalex.org/W2066888080","https://openalex.org/W2071531878","https://openalex.org/W2076408190","https://openalex.org/W2086491821","https://openalex.org/W2092286968","https://openalex.org/W2101069038","https://openalex.org/W2118066555","https://openalex.org/W2169459721","https://openalex.org/W2317049190","https://openalex.org/W2474594909","https://openalex.org/W2517880997","https://openalex.org/W2899964107","https://openalex.org/W2943450420","https://openalex.org/W2951629574","https://openalex.org/W4250458689","https://openalex.org/W4293409666"],"related_works":["https://openalex.org/W1829060647","https://openalex.org/W2128608246","https://openalex.org/W2520812953","https://openalex.org/W1965977581","https://openalex.org/W2061980133","https://openalex.org/W3101167575","https://openalex.org/W2545426741","https://openalex.org/W2387685679","https://openalex.org/W4298004047","https://openalex.org/W2077506191"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,43],"consider":[4],"an":[5,45],"inverse":[6,33],"scattering":[7],"problem":[8,34],"of":[9,81],"reconstructing":[10],"the":[11,30,52,55,62,66,77,82],"shape":[12],"and":[13,22,37,54,58,79],"impedance":[14],"for":[15,61],"a":[16,27],"cavity":[17],"from":[18],"one":[19],"point":[20],"source":[21],"several":[23],"measurements":[24],"placed":[25],"on":[26],"curve":[28],"inside":[29],"cavity.":[31],"This":[32],"is":[35],"nonlinear":[36],"ill-posed.":[38],"To":[39],"overcome":[40],"such":[41],"difficulties,":[42],"apply":[44],"iterative":[46],"regularized":[47],"approach":[48],"to":[49,75],"reconstruct":[50],"both":[51],"boundary":[53],"surface":[56],"impedance,":[57],"prove":[59],"injectivity":[60],"linearized":[63],"system":[64],"at":[65],"exact":[67],"solution.":[68],"Finally,":[69],"some":[70],"numerical":[71],"experiments":[72],"are":[73],"presented":[74],"demonstrate":[76],"feasibility":[78],"effectiveness":[80],"proposed":[83],"regularization":[84],"method.":[85]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}