{"id":"https://openalex.org/W4402128753","doi":"https://doi.org/10.1515/cmam-2024-0033","title":"A Space-Time Finite Element Method for the Eddy Current Approximation of Rotating Electric Machines","display_name":"A Space-Time Finite Element Method for the Eddy Current Approximation of Rotating Electric Machines","publication_year":2024,"publication_date":"2024-09-02","ids":{"openalex":"https://openalex.org/W4402128753","doi":"https://doi.org/10.1515/cmam-2024-0033"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2024-0033","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2024-0033","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/A5114375536","display_name":"Peter Gangl","orcid":"https://orcid.org/0000-0001-8906-821X"},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Peter Gangl","raw_affiliation_strings":["231591 Johann Radon Institute for Computational and Applied Mathematics , Altenberger Stra\u00dfe 69, 4040 Linz , Austria"],"raw_orcid":"https://orcid.org/0000-0001-8906-821X","affiliations":[{"raw_affiliation_string":"231591 Johann Radon Institute for Computational and Applied Mathematics , Altenberger Stra\u00dfe 69, 4040 Linz , Austria","institution_ids":["https://openalex.org/I4210158379"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072620189","display_name":"Mario Gobrial","orcid":null},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Mario Gobrial","raw_affiliation_strings":["Institut f\u00fcr Angewandte Mathematik , TU Graz , Steyrergasse 30, 8010 Graz , Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Angewandte Mathematik , TU Graz , Steyrergasse 30, 8010 Graz , Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037762950","display_name":"Olaf Steinbach","orcid":"https://orcid.org/0000-0002-2552-3022"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Olaf Steinbach","raw_affiliation_strings":["Institut f\u00fcr Angewandte Mathematik , TU Graz , Steyrergasse 30, 8010 Graz , Austria"],"raw_orcid":"https://orcid.org/0000-0002-2552-3022","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Angewandte Mathematik , TU Graz , Steyrergasse 30, 8010 Graz , Austria","institution_ids":["https://openalex.org/I4092182"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5114375536"],"corresponding_institution_ids":["https://openalex.org/I4210158379"],"apc_list":null,"apc_paid":null,"fwci":0.4528,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.53828463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"25","issue":"2","first_page":"441","last_page":"457"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11222","display_name":"Magnetic Properties and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11222","display_name":"Magnetic Properties and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10278","display_name":"Electric Motor Design and Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/eddy-current","display_name":"Eddy current","score":0.8085169196128845},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7641494274139404},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.47053441405296326},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4478887617588043},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.39816373586654663},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39003151655197144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37298527359962463},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3725379705429077},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.34401848912239075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3276153802871704},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.060293614864349365}],"concepts":[{"id":"https://openalex.org/C131357438","wikidata":"https://www.wikidata.org/wiki/Q208598","display_name":"Eddy current","level":2,"score":0.8085169196128845},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7641494274139404},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.47053441405296326},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4478887617588043},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39816373586654663},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39003151655197144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37298527359962463},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3725379705429077},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.34401848912239075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3276153802871704},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.060293614864349365},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2024-0033","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2024-0033","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/G2507554078","display_name":null,"funder_award_id":"P 32911","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G7330321437","display_name":null,"funder_award_id":"TRR361/F90","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1533355621","https://openalex.org/W1569680480","https://openalex.org/W1601728065","https://openalex.org/W1969811075","https://openalex.org/W2001032894","https://openalex.org/W2006697861","https://openalex.org/W2034797962","https://openalex.org/W2047133076","https://openalex.org/W2066466067","https://openalex.org/W2073187163","https://openalex.org/W2096503088","https://openalex.org/W2112311198","https://openalex.org/W2152566158","https://openalex.org/W2227629823","https://openalex.org/W2402468387","https://openalex.org/W2461259506","https://openalex.org/W2492662123","https://openalex.org/W2496081756","https://openalex.org/W2594128612","https://openalex.org/W2781806938","https://openalex.org/W2792487305","https://openalex.org/W2899064570","https://openalex.org/W2913877309","https://openalex.org/W2924637609","https://openalex.org/W2976061740","https://openalex.org/W3014898465","https://openalex.org/W3084855978","https://openalex.org/W3092018310","https://openalex.org/W3103268631","https://openalex.org/W3126818105","https://openalex.org/W3135337288","https://openalex.org/W3204708751","https://openalex.org/W4206654176","https://openalex.org/W4250239107","https://openalex.org/W4285256195","https://openalex.org/W4300669461","https://openalex.org/W4327511288","https://openalex.org/W4327511414","https://openalex.org/W4389044801","https://openalex.org/W4391111768"],"related_works":["https://openalex.org/W2290610200","https://openalex.org/W2065980086","https://openalex.org/W2097960635","https://openalex.org/W1904190641","https://openalex.org/W3123843296","https://openalex.org/W2898461579","https://openalex.org/W2030453078","https://openalex.org/W1883189948","https://openalex.org/W1977764769","https://openalex.org/W2349754233"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,97],"paper":[3],"we":[4,37],"formulate":[5],"and":[6,47,72,106,132,140],"analyze":[7],"a":[8,29,49,101],"space-time":[9,30,57],"finite":[10,23,52],"element":[11,24,53],"method":[12],"for":[13,42,48,62,100,112,130],"the":[14,22,34,43,56,67,77,80,87,113,118,138,143],"numerical":[15],"simulation":[16],"of":[17,66,79,83,89,117,142],"rotating":[18],"electric":[19],"machines":[20],"where":[21],"mesh":[25],"is":[26,110],"fixed":[27],"in":[28,55,70,104,123],"domain.":[31,58],"Based":[32],"on":[33],"Babu\u0161ka\u2013Ne\u010das":[35],"theory":[36],"prove":[38],"unique":[39],"solvability":[40],"both":[41,69],"continuous":[44],"variational":[45],"formulation":[46],"standard":[50],"Galerkin":[51],"discretization":[54],"This":[59,108],"approach":[60,109],"allows":[61,99],"an":[63,124],"adaptive":[64],"resolution":[65],"solution":[68,78,91],"space":[71,105],"time,":[73],"but":[74],"it":[75],"requires":[76],"overall":[81],"system":[82],"algebraic":[84],"equations.":[85],"While":[86],"use":[88],"parallel":[90],"algorithms":[92],"seems":[93],"to":[94],"be":[95],"mandatory,":[96],"also":[98],"parallelization":[102],"simultaneously":[103],"time.":[107],"used":[111],"eddy":[114],"current":[115],"approximation":[116],"Maxwell":[119],"equations":[120],"which":[121],"results":[122,129],"elliptic-parabolic":[125],"interface":[126],"problem.":[127],"Numerical":[128],"linear":[131],"nonlinear":[133],"constitutive":[134],"material":[135],"relations":[136],"confirm":[137],"applicability":[139],"accuracy":[141],"proposed":[144],"approach.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
