{"id":"https://openalex.org/W4413277522","doi":"https://doi.org/10.1109/access.2025.3600058","title":"Magnetic Modeling of Magnetic Levitation Systems Based on a Fast Finite Difference Method","display_name":"Magnetic Modeling of Magnetic Levitation Systems Based on a Fast Finite Difference Method","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4413277522","doi":"https://doi.org/10.1109/access.2025.3600058"},"language":"en","primary_location":{"id":"doi:10.1109/access.2025.3600058","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3600058","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2025.3600058","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yibo Wang","orcid":"https://orcid.org/0000-0003-4362-1555"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yibo Wang","raw_affiliation_strings":["School of Electronic Information, Wuhan University, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-4362-1555","affiliations":[{"raw_affiliation_string":"School of Electronic Information, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032879147","display_name":"Wei Pang","orcid":"https://orcid.org/0009-0002-2408-271X"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Pang","raw_affiliation_strings":["School of Electronic Information, Wuhan University, Wuhan, China"],"raw_orcid":"https://orcid.org/0009-0002-2408-271X","affiliations":[{"raw_affiliation_string":"School of Electronic Information, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060950265","display_name":"Xianze Xu","orcid":"https://orcid.org/0000-0003-4604-6445"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianze Xu","raw_affiliation_strings":["School of Electronic Information, Wuhan University, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-4604-6445","affiliations":[{"raw_affiliation_string":"School of Electronic Information, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037258110","display_name":"Fengqiu Xu","orcid":"https://orcid.org/0000-0002-5718-0853"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengqiu Xu","raw_affiliation_strings":["School of Electronic Information, Wuhan University, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-5718-0853","affiliations":[{"raw_affiliation_string":"School of Electronic Information, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.0546,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.79817247,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"13","issue":null,"first_page":"145865","last_page":"145874"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10278","display_name":"Electric Motor Design and Analysis","score":0.9922000169754028,"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/T11222","display_name":"Magnetic Properties and Applications","score":0.9883000254631042,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/magnetic-levitation","display_name":"Magnetic levitation","score":0.7643386125564575},{"id":"https://openalex.org/keywords/electrodynamic-suspension","display_name":"Electrodynamic suspension","score":0.6313861608505249},{"id":"https://openalex.org/keywords/levitation","display_name":"Levitation","score":0.5040280222892761},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5010075569152832},{"id":"https://openalex.org/keywords/spin-stabilized-magnetic-levitation","display_name":"Spin-stabilized magnetic levitation","score":0.4226556718349457},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.42038440704345703},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.27526384592056274},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25213152170181274},{"id":"https://openalex.org/keywords/magnetic-energy","display_name":"Magnetic energy","score":0.2157730758190155},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.20467236638069153},{"id":"https://openalex.org/keywords/magnet","display_name":"Magnet","score":0.17031937837600708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16189783811569214},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14977359771728516},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10938212275505066},{"id":"https://openalex.org/keywords/magnetization","display_name":"Magnetization","score":0.09927371144294739}],"concepts":[{"id":"https://openalex.org/C206736587","wikidata":"https://www.wikidata.org/wiki/Q1061251","display_name":"Magnetic levitation","level":3,"score":0.7643386125564575},{"id":"https://openalex.org/C123844309","wikidata":"https://www.wikidata.org/wiki/Q5358002","display_name":"Electrodynamic suspension","level":5,"score":0.6313861608505249},{"id":"https://openalex.org/C27838914","wikidata":"https://www.wikidata.org/wiki/Q740997","display_name":"Levitation","level":3,"score":0.5040280222892761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5010075569152832},{"id":"https://openalex.org/C162894644","wikidata":"https://www.wikidata.org/wiki/Q17105986","display_name":"Spin-stabilized magnetic levitation","level":5,"score":0.4226556718349457},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.42038440704345703},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.27526384592056274},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25213152170181274},{"id":"https://openalex.org/C162565982","wikidata":"https://www.wikidata.org/wiki/Q3725254","display_name":"Magnetic energy","level":4,"score":0.2157730758190155},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.20467236638069153},{"id":"https://openalex.org/C16389437","wikidata":"https://www.wikidata.org/wiki/Q11421","display_name":"Magnet","level":2,"score":0.17031937837600708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16189783811569214},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14977359771728516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10938212275505066},{"id":"https://openalex.org/C32546565","wikidata":"https://www.wikidata.org/wiki/Q856711","display_name":"Magnetization","level":3,"score":0.09927371144294739},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2025.3600058","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3600058","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0762d92066264506905b43c2348f3c63","is_oa":true,"landing_page_url":"https://doaj.org/article/0762d92066264506905b43c2348f3c63","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 13, Pp 145865-145874 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2025.3600058","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3600058","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1962212821","display_name":null,"funder_award_id":"2023BAB050","funder_id":"https://openalex.org/F4320317323","funder_display_name":"Key Research and Development Program of Heilongjiang"},{"id":"https://openalex.org/G2149186209","display_name":null,"funder_award_id":"2022YFF0605400","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G6975630564","display_name":null,"funder_award_id":"2024DJC046","funder_id":"https://openalex.org/F4320317323","funder_display_name":"Key Research and Development Program of Heilongjiang"},{"id":"https://openalex.org/G8123107902","display_name":null,"funder_award_id":"2024KJB332","funder_id":"https://openalex.org/F4320317323","funder_display_name":"Key Research and Development Program of Heilongjiang"},{"id":"https://openalex.org/G8988460508","display_name":null,"funder_award_id":"52275569","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320317323","display_name":"Key Research and Development Program of Heilongjiang","ror":null},{"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":33,"referenced_works":["https://openalex.org/W1559891132","https://openalex.org/W1988590272","https://openalex.org/W2064350787","https://openalex.org/W2069925676","https://openalex.org/W2100644542","https://openalex.org/W2106047183","https://openalex.org/W2108900063","https://openalex.org/W2113725327","https://openalex.org/W2121659051","https://openalex.org/W2150762400","https://openalex.org/W2153538546","https://openalex.org/W2154662189","https://openalex.org/W2156634187","https://openalex.org/W2157436848","https://openalex.org/W2168354512","https://openalex.org/W2335835841","https://openalex.org/W2491259336","https://openalex.org/W2573549311","https://openalex.org/W2625811288","https://openalex.org/W2767081585","https://openalex.org/W2946073031","https://openalex.org/W3037196944","https://openalex.org/W3173823424","https://openalex.org/W4226300447","https://openalex.org/W4230055019","https://openalex.org/W4233912610","https://openalex.org/W4281622076","https://openalex.org/W4306148137","https://openalex.org/W4313854327","https://openalex.org/W4386869731","https://openalex.org/W4389831945","https://openalex.org/W4400909164","https://openalex.org/W4403331438"],"related_works":["https://openalex.org/W2318294425","https://openalex.org/W2531483689","https://openalex.org/W2041773681","https://openalex.org/W2132406900","https://openalex.org/W4210886993","https://openalex.org/W4313403480","https://openalex.org/W2138863771","https://openalex.org/W2315690033","https://openalex.org/W2067002119","https://openalex.org/W3101529158"],"abstract_inverted_index":{"An":[0],"accurate":[1,38],"magnetic":[2,12,16,22,39,48,91,137,142],"force":[3,40,138],"model":[4],"is":[5,120,170],"crucial":[6],"for":[7,19],"the":[8,44,76,86,90,116,124,128,133,150,157,167],"high-precision":[9],"control":[10],"of":[11,46,89,127],"levitation":[13,143],"systems.":[14,29],"Soft":[15],"materials,":[17],"renowned":[18],"their":[20],"excellent":[21],"properties,":[23],"are":[24,95],"commonly":[25],"employed":[26],"in":[27,43,56],"these":[28],"However,":[30],"traditional":[31],"computational":[32,53],"methods":[33],"either":[34],"failing":[35],"to":[36,80,122],"yield":[37],"models":[41,139],"estimates":[42],"presence":[45],"soft":[47],"cores":[49],"or":[50],"demanding":[51],"excessive":[52],"resources,":[54],"resulting":[55],"significant":[57],"increased":[58],"processing":[59],"times.":[60],"This":[61],"paper":[62],"proposes":[63],"an":[64,102,171],"accurate,":[65,172],"efficient,":[66],"and":[67,84,111,145,156,174],"robust":[68],"fast":[69],"finite":[70,77,151],"difference":[71,78],"method.":[72],"The":[73,93],"method":[74,79,153,160],"leverages":[75],"solve":[81],"Maxwell\u2019s":[82],"equations":[83],"derive":[85],"spatial":[87,125],"distribution":[88,126],"field.":[92],"computations":[94],"performed":[96],"on":[97],"a":[98],"non-uniform":[99],"grid":[100],"using":[101],"iterative":[103],"multigrid":[104],"solver,":[105],"which":[106],"enhances":[107],"both":[108],"algorithmic":[109],"efficiency":[110],"numerical":[112],"stability.":[113],"Following":[114],"this,":[115],"Maxwell":[117],"stress":[118],"tensor":[119],"applied":[121],"compute":[123],"Lorentz":[129],"forces.":[130],"To":[131],"validate":[132],"method,":[134],"we":[135],"computed":[136],"across":[140],"various":[141],"systems":[144],"compared":[146],"its":[147],"performance":[148],"with":[149],"element":[152,159],"software":[154,161],"COMSOL":[155],"boundary":[158],"Radia.":[162],"Comparative":[163],"results":[164],"confirm":[165],"that":[166],"proposed":[168],"approach":[169],"versatile,":[173],"highly":[175],"efficient":[176],"solution.":[177]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
