{"id":"https://openalex.org/W7166642117","doi":"https://doi.org/10.1007/s00366-026-02378-2","title":"A stable and well-posed iFEM framework for inverse heat transfer in energy applications","display_name":"A stable and well-posed iFEM framework for inverse heat transfer in energy applications","publication_year":2026,"publication_date":"2026-06-30","ids":{"openalex":"https://openalex.org/W7166642117","doi":"https://doi.org/10.1007/s00366-026-02378-2"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-026-02378-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-026-02378-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02378-2.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02378-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5097335221","display_name":"Ihtisham Khalid","orcid":"https://orcid.org/0000-0001-8356-5231"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Ihtisham Khalid","raw_affiliation_strings":["Department of Aerospace Engineering, College of Aeronautical Engineering, National University of Sciences & Technology, Islamabad, 44000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, College of Aeronautical Engineering, National University of Sciences & Technology, Islamabad, 44000, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069398065","display_name":"Zahid Ahmed Qureshi","orcid":"https://orcid.org/0000-0002-9031-8711"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Zahid Ahmed Qureshi","raw_affiliation_strings":["Department of Aerospace Engineering, College of Aeronautical Engineering, National University of Sciences & Technology, Islamabad, 44000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, College of Aeronautical Engineering, National University of Sciences & Technology, Islamabad, 44000, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139646782","display_name":"Selda Oterkus","orcid":null},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Selda Oterkus","raw_affiliation_strings":["Department of Naval Architecture, Ocean & Marine Engineering, University of Strathclyde, Glasgow, G4 0LZ, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Naval Architecture, Ocean & Marine Engineering, University of Strathclyde, Glasgow, G4 0LZ, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021669918","display_name":"Erkan Oterkus","orcid":"https://orcid.org/0000-0002-4614-7214"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]},{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"Erkan Oterkus","raw_affiliation_strings":["Department of Civil Engineering, Stony Brook University, Stony Brook, 11794, USA","Department of Naval Architecture, Ocean & Marine Engineering, University of Strathclyde, Glasgow, G4 0LZ, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, Stony Brook University, Stony Brook, 11794, USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Department of Naval Architecture, Ocean & Marine Engineering, University of Strathclyde, Glasgow, G4 0LZ, UK","institution_ids":["https://openalex.org/I181647926"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021669918"],"corresponding_institution_ids":["https://openalex.org/I181647926","https://openalex.org/I59553526"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.86276728,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.7990000247955322,"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":0.7990000247955322,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.02500000037252903,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.019600000232458115,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/heat-transfer","display_name":"Heat transfer","score":0.6728000044822693},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5231000185012817},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4952999949455261},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.4551999866962433},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.43309998512268066},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.42719998955726624},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.42089998722076416},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.415800005197525}],"concepts":[{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.6728000044822693},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5231000185012817},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4952999949455261},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4551999866962433},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.43309998512268066},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.42719998955726624},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.42089998722076416},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.415800005197525},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.40880000591278076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4034000039100647},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3968000113964081},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.35499998927116394},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3528999984264374},{"id":"https://openalex.org/C29660869","wikidata":"https://www.wikidata.org/wiki/Q5282615","display_name":"Displacement field","level":3,"score":0.3357999920845032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3246000111103058},{"id":"https://openalex.org/C72293138","wikidata":"https://www.wikidata.org/wiki/Q909741","display_name":"Temperature measurement","level":2,"score":0.3231000006198883},{"id":"https://openalex.org/C107861326","wikidata":"https://www.wikidata.org/wiki/Q209233","display_name":"Thermal energy","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3046000003814697},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C142014798","wikidata":"https://www.wikidata.org/wiki/Q7783037","display_name":"Thermal contact","level":3,"score":0.29809999465942383},{"id":"https://openalex.org/C97346530","wikidata":"https://www.wikidata.org/wiki/Q487005","display_name":"Thermal conductivity","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25690001249313354},{"id":"https://openalex.org/C2779222261","wikidata":"https://www.wikidata.org/wiki/Q624587","display_name":"Thermography","level":3,"score":0.2549000084400177}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00366-026-02378-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-026-02378-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02378-2.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},{"id":"pmh:oai:strathprints.strath.ac.uk:96649","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/984575.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s00366-026-02378-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-026-02378-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02378-2.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8323044180870056}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7166642117.pdf","grobid_xml":"https://content.openalex.org/works/W7166642117.grobid-xml"},"referenced_works_count":75,"referenced_works":["https://openalex.org/W1627891856","https://openalex.org/W1967185644","https://openalex.org/W1973829237","https://openalex.org/W1974041817","https://openalex.org/W1981119767","https://openalex.org/W1983485983","https://openalex.org/W1987741830","https://openalex.org/W1987801733","https://openalex.org/W1993997451","https://openalex.org/W1998952123","https://openalex.org/W2010601963","https://openalex.org/W2012231377","https://openalex.org/W2014510518","https://openalex.org/W2019006560","https://openalex.org/W2027547991","https://openalex.org/W2028260378","https://openalex.org/W2031604650","https://openalex.org/W2037536566","https://openalex.org/W2044013161","https://openalex.org/W2049600106","https://openalex.org/W2055184446","https://openalex.org/W2061157818","https://openalex.org/W2068501694","https://openalex.org/W2080451465","https://openalex.org/W2087070363","https://openalex.org/W2092151362","https://openalex.org/W2092254180","https://openalex.org/W2105934661","https://openalex.org/W2129146994","https://openalex.org/W2147836374","https://openalex.org/W2163863955","https://openalex.org/W2170081783","https://openalex.org/W2256578114","https://openalex.org/W2316564661","https://openalex.org/W2321714781","https://openalex.org/W2337855747","https://openalex.org/W2736924693","https://openalex.org/W2767120355","https://openalex.org/W2768144381","https://openalex.org/W2792129423","https://openalex.org/W2966571243","https://openalex.org/W3037022734","https://openalex.org/W3037517858","https://openalex.org/W3148527520","https://openalex.org/W3153200540","https://openalex.org/W3185600647","https://openalex.org/W3191283048","https://openalex.org/W4230284187","https://openalex.org/W4239607310","https://openalex.org/W4256038730","https://openalex.org/W4281956363","https://openalex.org/W4285797938","https://openalex.org/W4306920631","https://openalex.org/W4321236373","https://openalex.org/W4360978722","https://openalex.org/W4386995499","https://openalex.org/W4388691900","https://openalex.org/W4389882118","https://openalex.org/W4390605464","https://openalex.org/W4391731295","https://openalex.org/W4392342706","https://openalex.org/W4396532895","https://openalex.org/W4401767729","https://openalex.org/W4401908551","https://openalex.org/W4401964082","https://openalex.org/W4403087147","https://openalex.org/W4404148372","https://openalex.org/W4404856261","https://openalex.org/W4405222113","https://openalex.org/W4406277809","https://openalex.org/W4408420394","https://openalex.org/W4409251011","https://openalex.org/W4413578598","https://openalex.org/W7120009315","https://openalex.org/W7163063627"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Accurate":[1],"inverse":[2,41],"heat":[3,42,103,108],"transfer":[4,43,109],"analysis":[5],"is":[6,75,84,122,142],"critical":[7],"for":[8,33,99,149],"optimizing":[9],"energy":[10,170],"systems,":[11],"including":[12],"renewable":[13],"technologies":[14],"and":[15,65,89,135,152,167],"industrial":[16],"thermal":[17,105,116,154,165],"management.":[18],"This":[19],"study":[20],"presents":[21],"the":[22,25,60,92,97],"extension":[23],"of":[24,91,102],"Inverse":[26],"Finite":[27],"Element":[28],"Method":[29],"(iFEM)":[30],"originally":[31],"developed":[32],"displacement":[34],"field":[35],"reconstruction":[36],"in":[37,114,169],"structural":[38],"mechanics":[39],"to":[40],"analysis.":[44],"The":[45,70,94,160],"iFEM":[46],"formulation":[47],"employs":[48],"a":[49,80,138,145],"weighted":[50],"least-squares":[51],"variational":[52],"functional":[53],"based":[54],"on":[55],"Fourier\u2019s":[56],"Law,":[57],"which":[58],"minimizes":[59],"difference":[61],"between":[62],"numerically":[63],"computed":[64],"experimentally":[66],"measured":[67],"temperature":[68,82],"gradients.":[69],"resulting":[71],"discrete":[72],"system":[73],"matrix":[74],"symmetric":[76],"positive":[77],"definite":[78],"once":[79],"minimal":[81],"datum":[83],"imposed,":[85],"ensuring":[86],"existence,":[87],"uniqueness,":[88],"stability":[90],"reconstruction.":[93],"framework":[95,161],"eliminates":[96],"need":[98],"prior":[100],"knowledge":[101],"fluxes,":[104],"properties,":[106],"or":[107],"coefficients,":[110],"addressing":[111],"key":[112],"limitations":[113],"practical":[115],"diagnostics.":[117],"A":[118],"rigorous":[119],"numerical":[120],"validation":[121],"performed":[123],"across":[124],"multiple":[125],"energy-relevant":[126],"scenarios,":[127],"considering":[128],"multi-mode":[129],"boundary":[130,157],"conditions":[131],"encompassing":[132],"conduction,":[133],"convection,":[134],"radiation.":[136],"Additionally,":[137],"Thermal":[139],"Index":[140],"(TI)":[141],"introduced":[143],"as":[144],"novel":[146],"diagnostic":[147],"metric":[148],"detecting,":[150],"localizing,":[151],"quantifying":[153],"anomalies":[155],"from":[156],"sensor":[158],"data.":[159],"enables":[162],"real-time":[163],"full-field":[164],"monitoring":[166],"diagnostics":[168],"systems.":[171]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-07-01T00:00:00"}
