{"id":"https://openalex.org/W3037656181","doi":"https://doi.org/10.1137/19m1281320","title":"Adaptive Edge Element Approximation for H(curl) Elliptic Variational Inequalities of Second Kind","display_name":"Adaptive Edge Element Approximation for H(curl) Elliptic Variational Inequalities of Second Kind","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3037656181","doi":"https://doi.org/10.1137/19m1281320","mag":"3037656181"},"language":"en","primary_location":{"id":"doi:10.1137/19m1281320","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1281320","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5038165400","display_name":"Malte Winckler","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Malte Winckler","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000672190","display_name":"Irwin Yousept","orcid":"https://orcid.org/0000-0001-7315-501X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Irwin Yousept","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5090609331","display_name":"Jun Zou","orcid":"https://orcid.org/0000-0002-4809-7724"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jun Zou","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038165400"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0768,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.72941113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"58","issue":"3","first_page":"1941","last_page":"1964"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9995999932289124,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9947999715805054,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8061434030532837},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6417208313941956},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6299513578414917},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5774311423301697},{"id":"https://openalex.org/keywords/curl","display_name":"Curl (programming language)","score":0.565014660358429},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5362839698791504},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5340916514396667},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5068386197090149},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.4423348903656006},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4131726026535034},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.373454213142395},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34447211027145386},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24802905321121216},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09168723225593567}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8061434030532837},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6417208313941956},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6299513578414917},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5774311423301697},{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.565014660358429},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5362839698791504},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5340916514396667},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5068386197090149},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4423348903656006},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4131726026535034},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.373454213142395},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34447211027145386},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24802905321121216},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09168723225593567},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1281320","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1281320","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1485615919","display_name":null,"funder_award_id":"YO 159/2-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G151420641","display_name":null,"funder_award_id":"N_CUHK437/16","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1911157743","https://openalex.org/W1970198065","https://openalex.org/W1972053447","https://openalex.org/W1978687734","https://openalex.org/W1981938400","https://openalex.org/W1989594010","https://openalex.org/W1992893649","https://openalex.org/W1995404822","https://openalex.org/W1998253133","https://openalex.org/W2000554621","https://openalex.org/W2019045637","https://openalex.org/W2026655730","https://openalex.org/W2034738755","https://openalex.org/W2038626747","https://openalex.org/W2039924562","https://openalex.org/W2042859897","https://openalex.org/W2042992259","https://openalex.org/W2044100074","https://openalex.org/W2044627846","https://openalex.org/W2047770746","https://openalex.org/W2056587214","https://openalex.org/W2057895638","https://openalex.org/W2062618977","https://openalex.org/W2065700840","https://openalex.org/W2084780726","https://openalex.org/W2118551467","https://openalex.org/W2136973752","https://openalex.org/W2169143985","https://openalex.org/W2205419184","https://openalex.org/W2226354159","https://openalex.org/W2231645998","https://openalex.org/W2344900879","https://openalex.org/W2739940524","https://openalex.org/W2763238702","https://openalex.org/W2768865607","https://openalex.org/W2988504802","https://openalex.org/W4231269780"],"related_works":["https://openalex.org/W2382844561","https://openalex.org/W2083529992","https://openalex.org/W816511862","https://openalex.org/W2238883956","https://openalex.org/W2948362504","https://openalex.org/W2643941443","https://openalex.org/W2047855059","https://openalex.org/W3012106957","https://openalex.org/W4233997505","https://openalex.org/W1510415755"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,56,181],"concerned":[3],"with":[4,89],"the":[5,34,45,66,69,83,97,103,107,110,116,120,129,132,137,141,144,154,160,171,176,188],"analysis":[6],"of":[7,19,33,41,47,71,76,106,109,122,131,143,159,175],"an":[8,53],"adaptive":[9,117,145,161,177],"edge":[10,39,111,146],"element":[11,112,147],"method":[12],"for":[13,94],"solving":[14],"elliptic":[15],"$curl$-$curl$":[16],"variational":[17],"inequalities":[18],"second":[20],"kind.":[21],"We":[22,60],"derive":[23],"a":[24,30,49,77,90,123,150,184],"posteriori":[25,50],"error":[26,51,134],"estimators":[27],"based":[28],"on":[29,153],"special":[31,78],"combination":[32],"Moreau--Yosida":[35],"regularization":[36,155],"and":[37,58,68,96,136,173],"N\u00e9d\u00e9lec's":[38],"elements":[40],"first":[42,127],"family.":[43],"With":[44],"help":[46],"these":[48,72],"estimators,":[52,73],"AFEM":[54],"algorithm":[55,118,178],"proposed":[57],"studied.":[59],"are":[61,167],"able":[62],"to":[63,140,169,183],"establish":[64],"both":[65],"reliability":[67],"efficiency":[70],"by":[74,115,126],"means":[75],"linear":[79],"auxiliary":[80],"problem":[81,185],"involving":[82],"discrete":[84],"Moreau--Yosida-regularized":[85],"dual":[86],"formulation,":[87],"along":[88],"local":[91],"regular":[92],"decomposition":[93],"$H(curl)$-functions":[95],"bubble":[98],"functions.":[99],"Furthermore,":[100],"we":[101],"demonstrate":[102],"strong":[104],"convergence":[105,130],"sequence":[108,142],"solutions":[113],"generated":[114],"toward":[119],"solution":[121],"limiting":[124],"problem,":[125],"achieving":[128],"maximal":[133],"indicator":[135],"residual":[138],"corresponding":[139],"solutions,":[148],"under":[149],"reasonable":[151],"condition":[152],"parameter":[156],"in":[157],"terms":[158],"mesh":[162],"size.":[163],"Three-dimensional":[164],"numerical":[165],"experiments":[166],"presented":[168],"verify":[170],"robustness":[172],"effectiveness":[174],"when":[179],"it":[180],"applied":[182],"arising":[186],"from":[187],"type-II":[189],"(high-temperature)":[190],"superconductivity.":[191]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
