{"id":"https://openalex.org/W2934172486","doi":"https://doi.org/10.1080/00207160.2019.1601181","title":"A coupled complex boundary method for parameter identification in elliptic problems","display_name":"A coupled complex boundary method for parameter identification in elliptic problems","publication_year":2019,"publication_date":"2019-04-02","ids":{"openalex":"https://openalex.org/W2934172486","doi":"https://doi.org/10.1080/00207160.2019.1601181","mag":"2934172486"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1601181","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1601181","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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"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/A5101740314","display_name":"Xuan Zheng","orcid":"https://orcid.org/0000-0002-5406-9228"},"institutions":[{"id":"https://openalex.org/I119273862","display_name":"Central South University of Forestry and Technology","ror":"https://ror.org/02czw2k81","country_code":"CN","type":"education","lineage":["https://openalex.org/I119273862"]},{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuan Zheng","raw_affiliation_strings":["Department of Science, Central South University of Forestry and Technology, Changsha, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Science, Central South University of Forestry and Technology, Changsha, People's Republic of China","institution_ids":["https://openalex.org/I119273862","https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074670845","display_name":"Xiaoliang Cheng","orcid":"https://orcid.org/0000-0002-3110-8052"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoliang Cheng","raw_affiliation_strings":["Department of Mathematics, Zhejiang University, Hangzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang University, Hangzhou, People's Republic of China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064203693","display_name":"Rongfang Gong","orcid":"https://orcid.org/0000-0001-5937-9607"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rongfang Gong","raw_affiliation_strings":["Department of Mathematics, Nanjing University of Astronautics and Aeronautics, Nanjing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Astronautics and Aeronautics, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101740314"],"corresponding_institution_ids":["https://openalex.org/I119273862","https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":1.3921,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.77794856,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"97","issue":"5","first_page":"998","last_page":"1015"},"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":0.993399977684021,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/mathematics","display_name":"Mathematics","score":0.7542155981063843},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.691372811794281},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6830463409423828},{"id":"https://openalex.org/keywords/robin-boundary-condition","display_name":"Robin boundary condition","score":0.6499870419502258},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.6158198118209839},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.6041539907455444},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.569135308265686},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.55027174949646},{"id":"https://openalex.org/keywords/poincar\u00e9\u2013steklov-operator","display_name":"Poincar\u00e9\u2013Steklov operator","score":0.549909234046936},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5486623644828796},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.503269374370575},{"id":"https://openalex.org/keywords/boundary-knot-method","display_name":"Boundary knot method","score":0.48367246985435486},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.47798675298690796},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.4560317099094391},{"id":"https://openalex.org/keywords/cauchy-boundary-condition","display_name":"Cauchy boundary condition","score":0.4490979313850403},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4392739534378052},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4319082498550415},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.43109130859375},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4218243956565857},{"id":"https://openalex.org/keywords/boundary-conditions-in-cfd","display_name":"Boundary conditions in CFD","score":0.42172694206237793},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.3694688081741333},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3265458941459656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12704557180404663}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7542155981063843},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.691372811794281},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6830463409423828},{"id":"https://openalex.org/C108257041","wikidata":"https://www.wikidata.org/wiki/Q748993","display_name":"Robin boundary condition","level":4,"score":0.6499870419502258},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6158198118209839},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.6041539907455444},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.569135308265686},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.55027174949646},{"id":"https://openalex.org/C65826597","wikidata":"https://www.wikidata.org/wiki/Q17099589","display_name":"Poincar\u00e9\u2013Steklov operator","level":5,"score":0.549909234046936},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5486623644828796},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.503269374370575},{"id":"https://openalex.org/C52890695","wikidata":"https://www.wikidata.org/wiki/Q4949966","display_name":"Boundary knot method","level":4,"score":0.48367246985435486},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.47798675298690796},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4560317099094391},{"id":"https://openalex.org/C106947605","wikidata":"https://www.wikidata.org/wiki/Q3278575","display_name":"Cauchy boundary condition","level":4,"score":0.4490979313850403},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4392739534378052},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4319082498550415},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.43109130859375},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4218243956565857},{"id":"https://openalex.org/C79042034","wikidata":"https://www.wikidata.org/wiki/Q4949963","display_name":"Boundary conditions in CFD","level":5,"score":0.42172694206237793},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.3694688081741333},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3265458941459656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12704557180404663},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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:10.1080/00207160.2019.1601181","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1601181","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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"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":[],"awards":[{"id":"https://openalex.org/G3312225233","display_name":null,"funder_award_id":"11526194","funder_id":"https://openalex.org/F4320335595","funder_display_name":"National Natural Science Foundation of China-Yunnan Joint Fund"},{"id":"https://openalex.org/G6684342429","display_name":null,"funder_award_id":"2016JJ4122","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null},{"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":24,"referenced_works":["https://openalex.org/W325445372","https://openalex.org/W335285985","https://openalex.org/W629817986","https://openalex.org/W1080053531","https://openalex.org/W1531455566","https://openalex.org/W1543326485","https://openalex.org/W1570089119","https://openalex.org/W1974433722","https://openalex.org/W1976173851","https://openalex.org/W1990805587","https://openalex.org/W1993491255","https://openalex.org/W2022816471","https://openalex.org/W2025199275","https://openalex.org/W2039628878","https://openalex.org/W2060204466","https://openalex.org/W2062310314","https://openalex.org/W2073118155","https://openalex.org/W2092652774","https://openalex.org/W2133619711","https://openalex.org/W2149512455","https://openalex.org/W2149846618","https://openalex.org/W2503147665","https://openalex.org/W4210300254","https://openalex.org/W4297789110"],"related_works":["https://openalex.org/W2378263446","https://openalex.org/W2393913967","https://openalex.org/W1991436309","https://openalex.org/W4246256881","https://openalex.org/W3136311820","https://openalex.org/W1514481392","https://openalex.org/W2100405323","https://openalex.org/W2365193650","https://openalex.org/W2092652774","https://openalex.org/W2934172486"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"a":[5,66,74,83,89],"parameter":[6,90,136],"identification":[7],"problem":[8,69,113,117],"for":[9,51,132,161],"elliptic":[10],"partial":[11],"differential":[12],"equations.":[13],"We":[14],"reconstruct":[15],"the":[16,31,33,77,95,101,105,108,116,127,139,155,166,171],"coefficient":[17,96],"with":[18,88],"additional":[19],"boundary":[20,27,36,49,68,78,86,111],"measurements,":[21],"including":[22],"both":[23],"Dirichlet":[24],"and":[25,154,168],"Neumann":[26],"conditions.":[28],"To":[29],"solve":[30],"problem,":[32],"coupled":[34,47,81],"complex":[35,48,67,84],"method":[37,50,158],"(CCBM),":[38],"originally":[39],"proposed":[40,172],"in":[41,72,82,115,124],"Cheng":[42],"et":[43],"al.":[44],"[A":[45],"novel":[46],"solving":[52],"inverse":[53],"source":[54],"problems,":[55],"Inverse":[56],"Probl.":[57],"30":[58],"(2014),":[59],"p.":[60],"055002]":[61],"is":[62,70,97,129,152,159],"used.":[63],"With":[64],"CCBM,":[65],"introduced":[71],"such":[73,99],"way":[75],"that":[76,100],"conditions":[79],"are":[80,147],"Robin":[85,110],"condition":[87],"\u03c4.":[91],"Using":[92],"Tikhonov":[93],"regularization,":[94],"sought":[98],"imaginary":[102],"part":[103],"of":[104,107,141,170],"solution":[106],"forward":[109],"value":[112],"vanishes":[114],"domain,":[118],"which":[119],"brings":[120],"advantages":[121],"on":[122],"robustness":[123],"reconstruction.":[125],"Besides,":[126],"reconstruction":[128],"feasible":[130],"even":[131],"very":[133],"small":[134],"regularization":[135],"through":[137],"choosing":[138],"values":[140],"\u03c4":[142],"properly.":[143],"Some":[144],"theoretical":[145],"analyses":[146],"given.":[148],"Moreover,":[149],"noise":[150],"model":[151],"analysed":[153],"finite":[156],"element":[157],"used":[160],"discretization.":[162],"Numerical":[163],"examples":[164],"show":[165],"feasibility":[167],"stability":[169],"method.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
