{"id":"https://openalex.org/W4396739108","doi":"https://doi.org/10.1007/s10444-024-10121-y","title":"A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes","display_name":"A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes","publication_year":2024,"publication_date":"2024-05-08","ids":{"openalex":"https://openalex.org/W4396739108","doi":"https://doi.org/10.1007/s10444-024-10121-y"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-024-10121-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-024-10121-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-024-10121-y.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/s10444-024-10121-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030604713","display_name":"Marta Ben\u00edtez","orcid":"https://orcid.org/0000-0002-0814-3108"},"institutions":[{"id":"https://openalex.org/I11019714","display_name":"Universidade da Coru\u00f1a","ror":"https://ror.org/01qckj285","country_code":"ES","type":"education","lineage":["https://openalex.org/I11019714"]},{"id":"https://openalex.org/I2802755756","display_name":"Centro de Supercomputaci\u00f3n de Galicia","ror":"https://ror.org/02z51cq88","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I2802755756"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Marta Ben\u00edtez","raw_affiliation_strings":["Department of Mathematics, University of A Coru\u00f1a, Elvi\u00f1a s/n, A Coru\u00f1a, E-15071, Spain","Galician Centre for Mathematical Research and Technology (CITMAga), Campus Vida, Santiago de Compostela, E-15782, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of A Coru\u00f1a, Elvi\u00f1a s/n, A Coru\u00f1a, E-15071, Spain","institution_ids":["https://openalex.org/I11019714"]},{"raw_affiliation_string":"Galician Centre for Mathematical Research and Technology (CITMAga), Campus Vida, Santiago de Compostela, E-15782, Spain","institution_ids":["https://openalex.org/I2802755756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002534689","display_name":"Alfredo Berm\u00fadez","orcid":"https://orcid.org/0000-0002-1865-6804"},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]},{"id":"https://openalex.org/I2802755756","display_name":"Centro de Supercomputaci\u00f3n de Galicia","ror":"https://ror.org/02z51cq88","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I2802755756"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Alfredo Berm\u00fadez","raw_affiliation_strings":["Department of Applied Mathematics, University of Santiago de Compostela, Campus Vida, Santiago de Compostela, E-15782, Spain","Galician Centre for Mathematical Research and Technology (CITMAga), Campus Vida, Santiago de Compostela, E-15782, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Santiago de Compostela, Campus Vida, Santiago de Compostela, E-15782, Spain","institution_ids":["https://openalex.org/I200284239"]},{"raw_affiliation_string":"Galician Centre for Mathematical Research and Technology (CITMAga), Campus Vida, Santiago de Compostela, E-15782, Spain","institution_ids":["https://openalex.org/I2802755756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017036166","display_name":"Pedro Font\u00e1n","orcid":null},"institutions":[{"id":"https://openalex.org/I66855515","display_name":"Repsol (Spain)","ror":"https://ror.org/028bzjj61","country_code":"ES","type":"company","lineage":["https://openalex.org/I66855515"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pedro Font\u00e1n","raw_affiliation_strings":["REPSOL Technology Lab, Autov\u00eda de Extremadura s/n, M\u00f3stoles, Madrid, 28935, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"REPSOL Technology Lab, Autov\u00eda de Extremadura s/n, M\u00f3stoles, Madrid, 28935, Spain","institution_ids":["https://openalex.org/I66855515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101028896","display_name":"Iv\u00e1n Mart\u00ednez","orcid":null},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]},{"id":"https://openalex.org/I2802755756","display_name":"Centro de Supercomputaci\u00f3n de Galicia","ror":"https://ror.org/02z51cq88","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I2802755756"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Iv\u00e1n Mart\u00ednez","raw_affiliation_strings":["Department of Applied Mathematics, University of Santiago de Compostela, Campus Vida, Santiago de Compostela, E-15782, Spain","Galician Centre for Mathematical Research and Technology (CITMAga), Campus Vida, Santiago de Compostela, E-15782, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Santiago de Compostela, Campus Vida, Santiago de Compostela, E-15782, Spain","institution_ids":["https://openalex.org/I200284239"]},{"raw_affiliation_string":"Galician Centre for Mathematical Research and Technology (CITMAga), Campus Vida, Santiago de Compostela, E-15782, Spain","institution_ids":["https://openalex.org/I2802755756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081178016","display_name":"Pilar Salgado","orcid":"https://orcid.org/0000-0002-9780-2151"},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]},{"id":"https://openalex.org/I2802755756","display_name":"Centro de Supercomputaci\u00f3n de Galicia","ror":"https://ror.org/02z51cq88","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I2802755756"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Pilar Salgado","raw_affiliation_strings":["Department of Applied Mathematics, University of Santiago de Compostela, Campus Vida, Santiago de Compostela, E-15782, Spain","Galician Centre for Mathematical Research and Technology (CITMAga), Campus Vida, Santiago de Compostela, E-15782, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Santiago de Compostela, Campus Vida, Santiago de Compostela, E-15782, Spain","institution_ids":["https://openalex.org/I200284239"]},{"raw_affiliation_string":"Galician Centre for Mathematical Research and Technology (CITMAga), Campus Vida, Santiago de Compostela, E-15782, Spain","institution_ids":["https://openalex.org/I2802755756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5081178016"],"corresponding_institution_ids":["https://openalex.org/I200284239","https://openalex.org/I2802755756"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.6545,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61649936,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"50","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/rotational-symmetry","display_name":"Rotational symmetry","score":0.7422363758087158},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6445102691650391},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5714751482009888},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5627784729003906},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5577911734580994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3805820047855377},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3326706886291504},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.27771472930908203}],"concepts":[{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.7422363758087158},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6445102691650391},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5714751482009888},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5627784729003906},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5577911734580994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3805820047855377},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3326706886291504},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27771472930908203},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10444-024-10121-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-024-10121-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-024-10121-y.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:minerva.usc.es:10347/34841","is_oa":true,"landing_page_url":"http://hdl.handle.net/10347/34841","pdf_url":null,"source":{"id":"https://openalex.org/S4306400376","display_name":"Repositorio institucional da Universidade de Santiago de Compostela (University of Santiago de Compostela)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200284239","host_organization_name":"Universidade de Santiago de Compostela","host_organization_lineage":["https://openalex.org/I200284239"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"},{"id":"pmh:oai:ruc.udc.es:2183/36624","is_oa":true,"landing_page_url":"http://hdl.handle.net/2183/36624","pdf_url":null,"source":{"id":"https://openalex.org/S4306402204","display_name":"RUC (Universidade Da Coru\u00f1a)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:zenodo.org:11285190","is_oa":true,"landing_page_url":"https://hdl.handle.net/2183/36624","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Computational Mathematics, 50, 45, (2024-05)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10444-024-10121-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-024-10121-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-024-10121-y.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1046719367","display_name":null,"funder_award_id":"GI-1563 ED431C 2021/15","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G1496055848","display_name":null,"funder_award_id":"ED431C","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G2645173117","display_name":null,"funder_award_id":"2021 GRC GI-1563 ED431C 2021/15","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G3124898680","display_name":null,"funder_award_id":"ED431C 2021/15","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G5237182528","display_name":null,"funder_award_id":"GRC GI-1563 ED431C 2021/15","funder_id":"https://openalex.org/F4320326655","funder_display_name":"Xunta de Galicia"},{"id":"https://openalex.org/G8779039966","display_name":null,"funder_award_id":"MCIN/AEI/10.13039/501100011033/ FEDER","funder_id":"https://openalex.org/F4320336576","funder_display_name":"Spanish National Plan for Scientific and Technical Research and Innovation"}],"funders":[{"id":"https://openalex.org/F4320321043","display_name":"Centro para el Desarrollo Tecnol\u00f3gico Industrial","ror":"https://ror.org/0124x7055"},{"id":"https://openalex.org/F4320326262","display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a","ror":"https://ror.org/03sv46s19"},{"id":"https://openalex.org/F4320326655","display_name":"Xunta de Galicia","ror":"https://ror.org/0181xnw06"},{"id":"https://openalex.org/F4320328802","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null},{"id":"https://openalex.org/F4320336576","display_name":"Spanish National Plan for Scientific and Technical Research and Innovation","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4396739108.pdf"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W635572147","https://openalex.org/W1567277041","https://openalex.org/W1602598587","https://openalex.org/W2010103111","https://openalex.org/W2029083633","https://openalex.org/W2037367678","https://openalex.org/W2073916877","https://openalex.org/W2082537985","https://openalex.org/W2082645004","https://openalex.org/W2084495783","https://openalex.org/W2103112625","https://openalex.org/W2171794818","https://openalex.org/W2467645337","https://openalex.org/W2492389943","https://openalex.org/W2492662123","https://openalex.org/W2765373915","https://openalex.org/W2922054097","https://openalex.org/W3046457476","https://openalex.org/W4213049918","https://openalex.org/W4245654886","https://openalex.org/W6607008721"],"related_works":["https://openalex.org/W3143842500","https://openalex.org/W2034854043","https://openalex.org/W2066838737","https://openalex.org/W2148444155","https://openalex.org/W4393232657","https://openalex.org/W3145198003","https://openalex.org/W2027151972","https://openalex.org/W2020494338","https://openalex.org/W4390638272","https://openalex.org/W3002806525"],"abstract_inverted_index":{"Abstract":[0],"The":[1,39,67,133],"aim":[2],"of":[3,64,90,98],"this":[4],"work":[5,40],"is":[6,60],"to":[7,123],"introduce":[8],"a":[9,36,43,48,106,145],"thermo-electromagnetic":[10,128],"model":[11,51,69],"for":[12,53,113],"calculating":[13],"the":[14,17,32,61,65,74,83,99,114,121,127,131],"temperature":[15],"and":[16,28,125,141],"power":[18],"dissipated":[19],"in":[20,88,139,150],"cylindrical":[21],"pieces":[22],"whose":[23],"geometry":[24],"varies":[25],"with":[26,79],"time":[27],"undergoes":[29],"large":[30],"deformations;":[31],"motion":[33],"will":[34,41,70,85,110,119,136],"be":[35,42,71,86,111,137],"known":[37],"data.":[38],"first":[44],"step":[45],"towards":[46],"building":[47],"complete":[49],"thermo-electromagnetic-mechanical":[50],"suitable":[52,146],"simulating":[54],"electrically":[55],"assisted":[56],"forming":[57],"processes,":[58],"which":[59],"main":[62],"motivation":[63],"work.":[66],"electromagnetic":[68],"obtained":[72],"from":[73],"time-harmonic":[75],"eddy":[76],"current":[77],"problem":[78],"an":[80],"in-plane":[81],"current;":[82],"source":[84],"given":[87],"terms":[89],"currents":[91],"or":[92],"voltages":[93],"defined":[94],"at":[95],"some":[96],"parts":[97],"boundary.":[100],"Finite":[101],"element":[102],"methods":[103],"based":[104],"on":[105],"Lagrangian":[107],"weak":[108],"formulation":[109],"used":[112],"numerical":[115,134],"solution.":[116],"This":[117],"approach":[118],"avoid":[120],"need":[122],"compute":[124],"remesh":[126],"domain":[129],"along":[130],"time.":[132],"tools":[135],"implemented":[138],"FEniCS":[140],"validated":[142],"by":[143],"using":[144],"test":[147],"also":[148],"solved":[149],"Eulerian":[151],"coordinates.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2024-05-09T00:00:00"}
