{"id":"https://openalex.org/W4380534695","doi":"https://doi.org/10.1515/cmam-2022-0093","title":"A Formulation for a Nonlinear Axisymmetric Magneto-Heat Coupling Problem with an Unknown Nonlocal Boundary Condition","display_name":"A Formulation for a Nonlinear Axisymmetric Magneto-Heat Coupling Problem with an Unknown Nonlocal Boundary Condition","publication_year":2023,"publication_date":"2023-06-14","ids":{"openalex":"https://openalex.org/W4380534695","doi":"https://doi.org/10.1515/cmam-2022-0093"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2022-0093","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2022-0093","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in 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/A5037381642","display_name":"Ran Wang","orcid":"https://orcid.org/0000-0002-4204-4576"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]},{"id":"https://openalex.org/I75689368","display_name":"Communication University of China","ror":"https://ror.org/04facbs33","country_code":"CN","type":"education","lineage":["https://openalex.org/I75689368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ran Wang","raw_affiliation_strings":["School of Data Science and Media Intelligence , Communication University of China ; and Key Laboratory of Computational Geodynamics, University of Chinese Academy of Sciences , Beijing , 100049 , P. R. China","School of Data Science and Media Intelligence, Communication University of China"],"raw_orcid":"https://orcid.org/0000-0002-4204-4576","affiliations":[{"raw_affiliation_string":"School of Data Science and Media Intelligence , Communication University of China ; and Key Laboratory of Computational Geodynamics, University of Chinese Academy of Sciences , Beijing , 100049 , P. R. China","institution_ids":["https://openalex.org/I75689368","https://openalex.org/I4210165038"]},{"raw_affiliation_string":"School of Data Science and Media Intelligence, Communication University of China","institution_ids":["https://openalex.org/I75689368"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068811764","display_name":"Huai Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huai Zhang","raw_affiliation_strings":["Key Laboratory of Computational Geodynamics , University of Chinese Academy of Sciences , Beijing , 100049 , P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Computational Geodynamics , University of Chinese Academy of Sciences , Beijing , 100049 , P. R. China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049712846","display_name":"Tong Kang","orcid":"https://orcid.org/0000-0003-1105-2917"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]},{"id":"https://openalex.org/I75689368","display_name":"Communication University of China","ror":"https://ror.org/04facbs33","country_code":"CN","type":"education","lineage":["https://openalex.org/I75689368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tong Kang","raw_affiliation_strings":["School of Data Science and Media Intelligence , Communication University of China ; and Key Laboratory of Computational Geodynamics, University of Chinese Academy of Sciences , Beijing , 100049 , P. R. China","School of Data Science and Media Intelligence, Communication University of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Data Science and Media Intelligence , Communication University of China ; and Key Laboratory of Computational Geodynamics, University of Chinese Academy of Sciences , Beijing , 100049 , P. R. China","institution_ids":["https://openalex.org/I75689368","https://openalex.org/I4210165038"]},{"raw_affiliation_string":"School of Data Science and Media Intelligence, Communication University of China","institution_ids":["https://openalex.org/I75689368"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068811764"],"corresponding_institution_ids":["https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07145625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"1","first_page":"239","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.61287522315979},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5894403457641602},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5856444239616394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.533613920211792},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.5179011821746826},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5027666091918945},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.4967980682849884},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.49507251381874084},{"id":"https://openalex.org/keywords/heat-flux","display_name":"Heat flux","score":0.47754204273223877},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.4515319764614105},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.4247715175151825},{"id":"https://openalex.org/keywords/magneto","display_name":"Magneto","score":0.4118374288082123},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3968488276004791},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.24055534601211548},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.23789721727371216},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21001726388931274},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.10166755318641663},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.0743645429611206}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.61287522315979},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5894403457641602},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5856444239616394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.533613920211792},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.5179011821746826},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5027666091918945},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.4967980682849884},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.49507251381874084},{"id":"https://openalex.org/C159188206","wikidata":"https://www.wikidata.org/wiki/Q1478382","display_name":"Heat flux","level":3,"score":0.47754204273223877},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.4515319764614105},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.4247715175151825},{"id":"https://openalex.org/C171636128","wikidata":"https://www.wikidata.org/wiki/Q1307177","display_name":"Magneto","level":3,"score":0.4118374288082123},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3968488276004791},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.24055534601211548},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.23789721727371216},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21001726388931274},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.10166755318641663},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0743645429611206},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2022-0093","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2022-0093","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2048208010","display_name":null,"funder_award_id":"U2039207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2691103549","display_name":null,"funder_award_id":"U2239305","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5296436367","display_name":null,"funder_award_id":"2020YFA0713401","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7089880292","display_name":null,"funder_award_id":"42074108","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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W44035921","https://openalex.org/W1245877952","https://openalex.org/W1892834595","https://openalex.org/W2010103111","https://openalex.org/W2010668633","https://openalex.org/W2021441321","https://openalex.org/W2027284541","https://openalex.org/W2043656191","https://openalex.org/W2068289874","https://openalex.org/W2074076160","https://openalex.org/W2077605577","https://openalex.org/W2084132390","https://openalex.org/W2089604680","https://openalex.org/W2090580356","https://openalex.org/W2145342439","https://openalex.org/W2330280052","https://openalex.org/W2334993063","https://openalex.org/W2528458790","https://openalex.org/W2570543955","https://openalex.org/W2607866544","https://openalex.org/W2734177859","https://openalex.org/W2924666281","https://openalex.org/W2997068398","https://openalex.org/W3046457476","https://openalex.org/W3089883820","https://openalex.org/W4200146751","https://openalex.org/W4200264228","https://openalex.org/W4238630926"],"related_works":["https://openalex.org/W3143842500","https://openalex.org/W2148444155","https://openalex.org/W2034854043","https://openalex.org/W2066838737","https://openalex.org/W4301895170","https://openalex.org/W2163760347","https://openalex.org/W2963936214","https://openalex.org/W2020494338","https://openalex.org/W2610026222","https://openalex.org/W3145198003"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"investigates":[3],"a":[4,17,47,68,98],"nonlinear":[5],"axisymmetric":[6],"magneto-heat":[7],"coupling":[8,21,73],"problem":[9,74,105],"described":[10],"by":[11,38,89,106],"the":[12,27,34,51,56,61,82,90,108,118],"quasi-static":[13],"Maxwell\u2019s":[14],"equations":[15],"and":[16,75,112],"heat":[18],"equation.":[19],"The":[20,31,43,85],"between":[22],"them":[23],"is":[24,36,87],"provided":[25],"through":[26],"temperature-dependent":[28],"electric":[29],"conductivity.":[30],"behavior":[32],"of":[33,50,81,92],"material":[35],"defined":[37],"an":[39],"anhysteretic":[40],"\ud835\udc6f-\ud835\udc69":[41],"curve.":[42],"magnetic":[44,57],"flux":[45],"across":[46],"meridian":[48],"section":[49],"medium":[52],"gives":[53],"rise":[54],"to":[55,102],"field":[58],"equation":[59],"with":[60],"unknown":[62],"nonlocal":[63],"boundary":[64],"condition.":[65],"We":[66,95],"present":[67],"variational":[69],"formulation":[70],"for":[71],"this":[72,104],"prove":[76],"its":[77],"solvability":[78],"in":[79,117],"terms":[80],"Rothe":[83],"method.":[84],"nonlinearity":[86],"handled":[88],"theory":[91],"monotone":[93],"operators.":[94],"also":[96],"suggest":[97],"discrete":[99],"decoupled":[100],"scheme":[101],"solve":[103],"employing":[107],"finite":[109],"element":[110],"method":[111],"show":[113],"some":[114],"numerical":[115],"results":[116],"final":[119],"section.":[120]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
