{"id":"https://openalex.org/W2010540775","doi":"https://doi.org/10.1115/ht2009-88106","title":"Finite Element Technique for Phase-Change Heat Conduction Problem","display_name":"Finite Element Technique for Phase-Change Heat Conduction Problem","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2010540775","doi":"https://doi.org/10.1115/ht2009-88106","mag":"2010540775"},"language":"en","primary_location":{"id":"doi:10.1115/ht2009-88106","doi":"https://doi.org/10.1115/ht2009-88106","is_oa":false,"landing_page_url":"https://doi.org/10.1115/ht2009-88106","pdf_url":null,"source":{"id":"https://openalex.org/S4306503359","display_name":"ASME Heat Transfer Summer Conference (HT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Volume 2: Theory and Fundamental Research; Aerospace Heat Transfer; Gas Turbine Heat Transfer; Computational Heat Transfer","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","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/A5025904225","display_name":"Ashok Kumar Nallathambi","orcid":"https://orcid.org/0000-0002-9410-3339","observed_orcids":["https://orcid.org/0000-0002-9410-3339"]},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ashok Kumar Nallathambi","raw_affiliation_strings":["Otto von Guericke University Magdeburg, Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Otto von Guericke University Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110173306","display_name":"Eckehard Specht","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Eckehard Specht","raw_affiliation_strings":["Otto von Guericke University Magdeburg, Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Otto von Guericke University Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045132179","display_name":"Albrecht Bertram","orcid":"https://orcid.org/0000-0002-8381-731X","observed_orcids":["https://orcid.org/0000-0002-8381-731X"]},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Albrecht Bertram","raw_affiliation_strings":["Otto von Guericke University Magdeburg, Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Otto von Guericke University Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95793202"],"apc_list":null,"apc_paid":null,"fwci":0.9573,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73358795,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"667","last_page":"674"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10938","display_name":"Phase Change Materials Research","score":0.5449000000953674,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10938","display_name":"Phase Change Materials Research","score":0.5449000000953674,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.4426000118255615,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.0031999999191612005,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/latent-heat","display_name":"latent heat","score":0.7400000095367432},{"id":"https://openalex.org/keywords/melting","display_name":"melting","score":0.8790000081062317},{"id":"https://openalex.org/keywords/line-search","display_name":"line search","score":0.7960000038146973},{"id":"https://openalex.org/keywords/newton-raphson-convergence","display_name":"Newton-Raphson convergence","score":0.9779999852180481},{"id":"https://openalex.org/keywords/transient-heat-conduction","display_name":"transient heat conduction","score":0.8230000138282776}],"concepts":[{"id":"https://openalex.org/C58024561","wikidata":"https://www.wikidata.org/wiki/Q207721","display_name":"Latent heat","level":2,"score":0.7308754920959473},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.6771711111068726},{"id":"https://openalex.org/C133347239","wikidata":"https://www.wikidata.org/wiki/Q486921","display_name":"Isothermal process","level":2,"score":0.6258600354194641},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6098613739013672},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.6001085042953491},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.559116780757904},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5150504112243652},{"id":"https://openalex.org/C72948385","wikidata":"https://www.wikidata.org/wiki/Q901793","display_name":"Fourier number","level":4,"score":0.5090398192405701},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4487331807613373},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4356811046600342},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.43002650141716003},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.4240795969963074},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.41834020614624023},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.38438937067985535},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36212730407714844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3323226571083069},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32989710569381714},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3216293752193451},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24260440468788147},{"id":"https://openalex.org/C29700514","wikidata":"https://www.wikidata.org/wiki/Q634340","display_name":"Heat transfer coefficient","level":3,"score":0.10143259167671204},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/ht2009-88106","doi":"https://doi.org/10.1115/ht2009-88106","is_oa":false,"landing_page_url":"https://doi.org/10.1115/ht2009-88106","pdf_url":null,"source":{"id":"https://openalex.org/S4306503359","display_name":"ASME Heat Transfer Summer Conference (HT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Volume 2: Theory and Fundamental Research; Aerospace Heat Transfer; Gas Turbine Heat Transfer; Computational Heat Transfer","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1974027126","https://openalex.org/W1992518002","https://openalex.org/W2005911626","https://openalex.org/W2009069729","https://openalex.org/W2011483274","https://openalex.org/W2019341779","https://openalex.org/W2023542267","https://openalex.org/W2028014371","https://openalex.org/W2031605731","https://openalex.org/W2052355903","https://openalex.org/W2053042752","https://openalex.org/W2053086352","https://openalex.org/W2058324006","https://openalex.org/W2071615369","https://openalex.org/W2082242623","https://openalex.org/W2092065013","https://openalex.org/W2116092186","https://openalex.org/W2119661638","https://openalex.org/W2128065058","https://openalex.org/W2128304417","https://openalex.org/W2147384385","https://openalex.org/W2170638464","https://openalex.org/W2515527226","https://openalex.org/W3139543928"],"related_works":["https://openalex.org/W1994813714","https://openalex.org/W2139740307","https://openalex.org/W1979130927","https://openalex.org/W2005911626","https://openalex.org/W2098615280","https://openalex.org/W2047515507","https://openalex.org/W2551051543","https://openalex.org/W2095362085","https://openalex.org/W2124485294","https://openalex.org/W3048415909"],"abstract_inverted_index":{"Liquid-solid":[0],"phase":[1,15,23,62,108,117,126],"transition":[2],"is":[3],"accompanied":[4],"by":[5],"a":[6,31,50,80],"latent":[7,18,122],"heat":[8,19,36,59],"release,":[9],"both":[10],"in":[11,94,100],"isothermal":[12],"and":[13,20,112,144,147],"non-isothermal":[14],"transformations.":[16],"The":[17,64,77,115,125],"the":[21,27,34,68,72,86,89,98,107,121,131,136,145,150],"discontinuous":[22],"change":[24,118],"function":[25],"increase":[26],"difficulty":[28],"of":[29,71,79,88,103,135,149],"obtaining":[30],"solution":[32,151],"for":[33,55,84],"Fourier":[35],"conduction":[37,60],"equation.":[38],"Celentano":[39,73],"et":[40,74],"al.":[41,75],"[Int.":[42],"J.":[43],"Numer.":[44],"Meth.":[45],"Eng.":[46],"37(20),":[47],"1994]":[48],"proposed":[49],"temperature-based":[51],"finite":[52],"element":[53],"model":[54],"solving":[56],"multidimensional":[57],"transient":[58],"involving":[61],"change.":[63],"present":[65],"work":[66],"addresses":[67],"computational":[69],"aspects":[70],"model.":[76],"importance":[78],"line":[81],"search":[82],"algorithm":[83],"improving":[85],"convergence":[87],"Newton-Raphson":[90],"iterations":[91,99],"are":[92,128,142,153],"explained":[93],"detail.":[95],"While":[96],"performing":[97],"this":[101],"kind":[102],"fixed":[104],"domain":[105],"methods,":[106],"front":[109],"moves":[110],"back":[111],"forth":[113],"fictitiously.":[114],"introduced":[116],"matrix":[119],"handles":[120],"effect":[123],"efficiently.":[124],"fractions":[127],"evaluated":[129],"at":[130],"integration":[132],"points":[133],"instead":[134],"nodal":[137],"points.":[138],"Several":[139],"numerical":[140],"examples":[141],"presented":[143],"benefits":[146],"difficulties":[148],"technique":[152],"elaborately":[154],"discussed.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-02T09:45:03.842371","created_date":"2016-06-24T00:00:00"}