{"id":"https://openalex.org/W2102133656","doi":"https://doi.org/10.1007/s002110050403","title":"Analysis and computation of a mean-field model for superconductivity","display_name":"Analysis and computation of a mean-field model for superconductivity","publication_year":1999,"publication_date":"1999-02-01","ids":{"openalex":"https://openalex.org/W2102133656","doi":"https://doi.org/10.1007/s002110050403","mag":"2102133656"},"language":"en","primary_location":{"id":"doi:10.1007/s002110050403","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110050403","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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/A5056115552","display_name":"Qiang Du","orcid":"https://orcid.org/0000-0002-1067-8937"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qiang Du","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA\n, , , , , , US","Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA\n, , , , , , US","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA , US","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076283476","display_name":"Max Gunzburger","orcid":"https://orcid.org/0000-0003-0921-9079"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Max D. Gunzburger","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA 50011-2064, USA\n, , , , , , US","Department of Mathematics, Iowa State University, Ames, IA 50011-2064, USA#N#, , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA 50011-2064, USA\n, , , , , , US","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA 50011-2064, USA#N#, , US","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012660588","display_name":"Hyesuk Kwon Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hyesuk Kwon Lee","raw_affiliation_strings":["Interdisciplinary Center for Applied Mathematics, Virginia Tech, Blacksburg, VA 24061-0531, USA\n, , , , , , US","Interdisciplinary Center for Applied Mathematics, Virginia Tech, Blacksburg, VA 24061-0531, USA#N#, , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Applied Mathematics, Virginia Tech, Blacksburg, VA 24061-0531, USA\n, , , , , , US","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Interdisciplinary Center for Applied Mathematics, Virginia Tech, Blacksburg, VA 24061-0531, USA#N#, , US","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.9465,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74190854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"81","issue":"4","first_page":"539","last_page":"560"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10037","display_name":"Physics of Superconductivity and Magnetism","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10037","display_name":"Physics of Superconductivity and Magnetism","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11808","display_name":"Superconducting Materials and Applications","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10346","display_name":"Magnetic confinement fusion research","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.7709507942199707},{"id":"https://openalex.org/keywords/superconductivity","display_name":"Superconductivity","score":0.754295825958252},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6909188032150269},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6875035762786865},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.658738911151886},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6517722606658936},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5616677403450012},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43059295415878296},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.4131823182106018},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39281851053237915},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3569858968257904},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.2762189507484436},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2368318736553192},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.16551905870437622},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08482727408409119},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07243451476097107}],"concepts":[{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.7709507942199707},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.754295825958252},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6909188032150269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6875035762786865},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.658738911151886},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6517722606658936},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5616677403450012},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43059295415878296},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.4131823182106018},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39281851053237915},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3569858968257904},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.2762189507484436},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2368318736553192},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.16551905870437622},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08482727408409119},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07243451476097107},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s002110050403","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110050403","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W59264675","https://openalex.org/W1654896165","https://openalex.org/W1972428333","https://openalex.org/W2003378896","https://openalex.org/W2004326643","https://openalex.org/W2014437371","https://openalex.org/W2057397786","https://openalex.org/W2066077447","https://openalex.org/W2076582418","https://openalex.org/W2125164009","https://openalex.org/W2143132943","https://openalex.org/W2477040106","https://openalex.org/W3022780580"],"related_works":["https://openalex.org/W4387497383","https://openalex.org/W3183948672","https://openalex.org/W3173606202","https://openalex.org/W3110381201","https://openalex.org/W2948807893","https://openalex.org/W2935909890","https://openalex.org/W2778153218","https://openalex.org/W2758277628","https://openalex.org/W1531601525","https://openalex.org/W571281153"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}