{"id":"https://openalex.org/W2085830137","doi":"https://doi.org/10.1007/s00211-008-0149-7","title":"A nonconforming finite element method for a two-dimensional curl\u2013curl and grad-div problem","display_name":"A nonconforming finite element method for a two-dimensional curl\u2013curl and grad-div problem","publication_year":2008,"publication_date":"2008-04-25","ids":{"openalex":"https://openalex.org/W2085830137","doi":"https://doi.org/10.1007/s00211-008-0149-7","mag":"2085830137"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-008-0149-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-008-0149-7","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/A5061146602","display_name":"Susanne C. Brenner","orcid":"https://orcid.org/0000-0001-8330-5667"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S. C. Brenner","raw_affiliation_strings":["Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, USA","Louisiana State University, Department of Mathematics and Center for Computation and Technology, 70803, Baton Rouge, LA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, USA","institution_ids":["https://openalex.org/I121820613"]},{"raw_affiliation_string":"Louisiana State University, Department of Mathematics and Center for Computation and Technology, 70803, Baton Rouge, LA, USA#TAB#","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035844032","display_name":"Jintao Cui","orcid":"https://orcid.org/0000-0001-9912-1889"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. Cui","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, USA","Louisiana State University, Department of Mathematics, 70803, Baton Rouge, LA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, USA","institution_ids":["https://openalex.org/I121820613"]},{"raw_affiliation_string":"Louisiana State University, Department of Mathematics, 70803, Baton Rouge, LA, USA#TAB#","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030904539","display_name":"F. Li","orcid":null},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"F. Li","raw_affiliation_strings":["Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA","Rensselaer Polytechnic Institute, Department of Mathematical Sciences, 12180, Troy, NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA","institution_ids":["https://openalex.org/I165799507"]},{"raw_affiliation_string":"Rensselaer Polytechnic Institute, Department of Mathematical Sciences, 12180, Troy, NY, USA#TAB#","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111384616","display_name":"L.-Y. Sung","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L.-Y. Sung","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, USA","Louisiana State University, Department of Mathematics, 70803, Baton Rouge, LA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, USA","institution_ids":["https://openalex.org/I121820613"]},{"raw_affiliation_string":"Louisiana State University, Department of Mathematics, 70803, Baton Rouge, LA, USA#TAB#","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030904539","https://openalex.org/A5035844032","https://openalex.org/A5061146602","https://openalex.org/A5111384616"],"corresponding_institution_ids":["https://openalex.org/I121820613","https://openalex.org/I165799507"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":6.4627,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.97425788,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"109","issue":"4","first_page":"509","last_page":"533"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/curl","display_name":"Curl (programming language)","score":0.9600517749786377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8194624185562134},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7338498830795288},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6851990818977356},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6040287613868713},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5252102017402649},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5123308897018433},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4914757013320923},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.4666006565093994},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4665484130382538},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19784295558929443},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08227133750915527},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0765317976474762}],"concepts":[{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.9600517749786377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8194624185562134},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7338498830795288},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6851990818977356},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6040287613868713},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5252102017402649},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5123308897018433},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4914757013320923},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.4666006565093994},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4665484130382538},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19784295558929443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08227133750915527},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0765317976474762},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00211-008-0149-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-008-0149-7","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"},{"id":"pmh:oai:digitalcommons.lsu.edu:mathematics_pubs-1168","is_oa":false,"landing_page_url":"https://digitalcommons.lsu.edu/mathematics_pubs/169","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.394.8259","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.394.8259","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ualr.edu/jxcui1/CCGD.pdf","raw_type":"text"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-1168","is_oa":false,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/169","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W125509687","https://openalex.org/W591292934","https://openalex.org/W612830917","https://openalex.org/W1492326914","https://openalex.org/W1502992081","https://openalex.org/W1513593694","https://openalex.org/W1576546137","https://openalex.org/W1582734821","https://openalex.org/W1586623601","https://openalex.org/W1674659126","https://openalex.org/W1783080792","https://openalex.org/W1798854010","https://openalex.org/W1979463221","https://openalex.org/W1985321423","https://openalex.org/W1998829387","https://openalex.org/W2000554621","https://openalex.org/W2007233211","https://openalex.org/W2023192536","https://openalex.org/W2024753911","https://openalex.org/W2035543412","https://openalex.org/W2041523977","https://openalex.org/W2045258465","https://openalex.org/W2046989492","https://openalex.org/W2054077423","https://openalex.org/W2059687237","https://openalex.org/W2062618977","https://openalex.org/W2064909895","https://openalex.org/W2068798260","https://openalex.org/W2071928229","https://openalex.org/W2075501190","https://openalex.org/W2085488187","https://openalex.org/W2085830137","https://openalex.org/W2088288520","https://openalex.org/W2091450899","https://openalex.org/W2097040699","https://openalex.org/W2103349556","https://openalex.org/W2107400756","https://openalex.org/W2116226692","https://openalex.org/W2118789184","https://openalex.org/W2123791512","https://openalex.org/W2129114523","https://openalex.org/W2135299604","https://openalex.org/W2140888248","https://openalex.org/W2142457869","https://openalex.org/W2143783905","https://openalex.org/W2151558909","https://openalex.org/W2170868409","https://openalex.org/W2494958355","https://openalex.org/W2504752762","https://openalex.org/W2592623476","https://openalex.org/W3046457476","https://openalex.org/W4250220742","https://openalex.org/W4252104256","https://openalex.org/W4285719527","https://openalex.org/W4299302210","https://openalex.org/W4300657400","https://openalex.org/W6686588898"],"related_works":["https://openalex.org/W2478780871","https://openalex.org/W1216769707","https://openalex.org/W3168011518","https://openalex.org/W4366307899","https://openalex.org/W2092258800","https://openalex.org/W2168649520","https://openalex.org/W2013135861","https://openalex.org/W2083529992","https://openalex.org/W1977506423","https://openalex.org/W2073233359"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
