{"id":"https://openalex.org/W1571845831","doi":"https://doi.org/10.2478/cmam-2009-0023","title":"Mixed Hybrid Finite Element Method for a Variational Inequality with a Quasi-linear Operator","display_name":"Mixed Hybrid Finite Element Method for a Variational Inequality with a Quasi-linear Operator","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1571845831","doi":"https://doi.org/10.2478/cmam-2009-0023","mag":"1571845831"},"language":"en","primary_location":{"id":"doi:10.2478/cmam-2009-0023","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0023","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0023/pdf","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","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":true,"oa_status":"hybrid","oa_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0023/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071081100","display_name":"\u0410. \u0412. \u041b\u0430\u043f\u0438\u043d","orcid":"https://orcid.org/0000-0002-3106-6198"},"institutions":[{"id":"https://openalex.org/I21203515","display_name":"Kazan Federal University","ror":"https://ror.org/05256ym39","country_code":"RU","type":"education","lineage":["https://openalex.org/I21203515"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. Lapin","raw_affiliation_strings":["1Kazan State University, Russia, Address Kremljevskaia Str. 18, Kazan, Russia"],"affiliations":[{"raw_affiliation_string":"1Kazan State University, Russia, Address Kremljevskaia Str. 18, Kazan, Russia","institution_ids":["https://openalex.org/I21203515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071081100"],"corresponding_institution_ids":["https://openalex.org/I21203515"],"apc_list":null,"apc_paid":null,"fwci":1.3124,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79104191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"9","issue":"4","first_page":"354","last_page":"367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9986000061035156,"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":0.9976999759674072,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7577775716781616},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7539888620376587},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.7064845561981201},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.6899343132972717},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.6735184788703918},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.5671826601028442},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5562764406204224},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5389580726623535},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.473320335149765},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45879077911376953},{"id":"https://openalex.org/keywords/hp-fem","display_name":"hp-FEM","score":0.43356242775917053},{"id":"https://openalex.org/keywords/mortar-methods","display_name":"Mortar methods","score":0.43153882026672363},{"id":"https://openalex.org/keywords/finite-element-limit-analysis","display_name":"Finite element limit analysis","score":0.33977028727531433},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2834864854812622},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07953676581382751}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7577775716781616},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7539888620376587},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.7064845561981201},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.6899343132972717},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.6735184788703918},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.5671826601028442},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5562764406204224},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5389580726623535},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.473320335149765},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45879077911376953},{"id":"https://openalex.org/C4349628","wikidata":"https://www.wikidata.org/wiki/Q17027720","display_name":"hp-FEM","level":5,"score":0.43356242775917053},{"id":"https://openalex.org/C97110765","wikidata":"https://www.wikidata.org/wiki/Q17099078","display_name":"Mortar methods","level":4,"score":0.43153882026672363},{"id":"https://openalex.org/C93949632","wikidata":"https://www.wikidata.org/wiki/Q5450392","display_name":"Finite element limit analysis","level":4,"score":0.33977028727531433},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2834864854812622},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07953676581382751},{"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:10.2478/cmam-2009-0023","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0023","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0023/pdf","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.2478/cmam-2009-0023","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0023","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0023/pdf","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1571845831.pdf","grobid_xml":"https://content.openalex.org/works/W1571845831.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W46603733","https://openalex.org/W60986234","https://openalex.org/W1273745426","https://openalex.org/W1653619892","https://openalex.org/W1974396656","https://openalex.org/W1974631778","https://openalex.org/W2152859668","https://openalex.org/W3091814460","https://openalex.org/W3149667697","https://openalex.org/W4229705284","https://openalex.org/W6605007432"],"related_works":["https://openalex.org/W1567939749","https://openalex.org/W2367880982","https://openalex.org/W4254088695","https://openalex.org/W2365325186","https://openalex.org/W1501939270","https://openalex.org/W155152583","https://openalex.org/W2081441772","https://openalex.org/W4281485387","https://openalex.org/W2370147615","https://openalex.org/W1571845831"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"mixed":[2,68],"hybrid":[3,69],"finite":[4,35,70],"element":[5,36,71],"method":[6,24,64],"has":[7,29,51],"been":[8,30,52],"applied":[9],"to":[10,32],"a":[11,15,26,43],"variational":[12],"inequality":[13],"with":[14,66],"potential":[16],"second-order":[17],"quasi-linear":[18],"differential":[19],"operator.":[20],"The":[21,38,60],"Lagrange":[22],"multiplier":[23],"for":[25,45],"dual":[27],"problem":[28,50],"used":[31],"construct":[33],"this":[34],"scheme.":[37],"existence":[39],"and":[40],"uniqueness":[41],"of":[42],"solution":[44,55],"the":[46,54,67],"resulting":[47],"finite-":[48],"dimensional":[49],"proved,":[53],"iterative":[56],"methods":[57],"are":[58],"discussed.":[59],"non-overlapping":[61],"domain":[62],"decomposition":[63],"combined":[65],"approximation":[72],"is":[73],"analyzed.":[74]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
