{"id":"https://openalex.org/W2596534281","doi":"https://doi.org/10.1137/16m1072085","title":"Numerical Analysis of Elliptic Hemivariational Inequalities","display_name":"Numerical Analysis of Elliptic Hemivariational Inequalities","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2596534281","doi":"https://doi.org/10.1137/16m1072085","mag":"2596534281"},"language":"en","primary_location":{"id":"doi:10.1137/16m1072085","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1072085","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-01626946/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031753752","display_name":"Weimin Han","orcid":"https://orcid.org/0000-0002-0960-2281"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weimin Han","raw_affiliation_strings":["Department of Mathematics, University of Iowa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Iowa","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028060890","display_name":"Mircea Sofonea","orcid":"https://orcid.org/0000-0002-6110-1433"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mircea Sofonea","raw_affiliation_strings":["LAboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031247705","display_name":"Mika\u00ebl Barboteu","orcid":"https://orcid.org/0000-0002-1104-3300"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mika\u00ebl Barboteu","raw_affiliation_strings":["LAboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAboratoire de Mod\u00e9lisation Pluridisciplinaire et Simulations","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.8533,"has_fulltext":true,"cited_by_count":109,"citation_normalized_percentile":{"value":0.98635647,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"55","issue":"2","first_page":"640","last_page":"663"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9998999834060669,"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/T12252","display_name":"Mechanical stress and fatigue analysis","score":0.9998000264167786,"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/T11062","display_name":"Gear and Bearing Dynamics Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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":0.8651244640350342},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6933456063270569},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5989437103271484},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5541104674339294},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5473650693893433},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.530763566493988},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48448631167411804},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45183855295181274},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.42829620838165283}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8651244640350342},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6933456063270569},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5989437103271484},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5541104674339294},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5473650693893433},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.530763566493988},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48448631167411804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45183855295181274},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.42829620838165283},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/16m1072085","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1072085","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"},{"id":"pmh:oai:HAL:hal-01626946v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01626946","pdf_url":"https://hal.science/hal-01626946/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Numerical Analysis, 2017, 55 (2), pp.640-663. &#x27E8;10.1137/16M1072085&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01626946v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01626946","pdf_url":"https://hal.science/hal-01626946/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Numerical Analysis, 2017, 55 (2), pp.640-663. &#x27E8;10.1137/16M1072085&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6200000047683716}],"awards":[{"id":"https://openalex.org/G6662451094","display_name":"Hemivariational Inequalities: Numerical Methods and Applications","funder_award_id":"1521684","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7389429197","display_name":null,"funder_award_id":"1521684","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"},{"id":"https://openalex.org/G8164100324","display_name":null,"funder_award_id":"DMS-1521684","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332172","display_name":"Directorate for Mathematical and Physical Sciences","ror":"https://ror.org/029b7h395"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2596534281.pdf","grobid_xml":"https://content.openalex.org/works/W2596534281.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W606230067","https://openalex.org/W634377812","https://openalex.org/W1167240586","https://openalex.org/W1460080534","https://openalex.org/W1490112587","https://openalex.org/W1516681311","https://openalex.org/W1518792628","https://openalex.org/W1520204308","https://openalex.org/W1543326485","https://openalex.org/W1586725846","https://openalex.org/W1680464647","https://openalex.org/W1724769198","https://openalex.org/W1967077838","https://openalex.org/W1983730159","https://openalex.org/W1987700684","https://openalex.org/W1991184340","https://openalex.org/W2000985550","https://openalex.org/W2009728356","https://openalex.org/W2010358349","https://openalex.org/W2041523977","https://openalex.org/W2042445987","https://openalex.org/W2058567087","https://openalex.org/W2092532386","https://openalex.org/W2163596403","https://openalex.org/W2582171088","https://openalex.org/W2741922406","https://openalex.org/W4231269780"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4243074410","https://openalex.org/W2969742028"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,56,63],"devoted":[3],"to":[4,58,109],"a":[5,26],"study":[6],"of":[7,11,29,50,81,87],"the":[8,21,40,51,91,115,123],"numerical":[9,38,83],"solution":[10,41,98],"elliptic":[12,30,53,70],"hemivariational":[13,31,54,71],"inequalities":[14,32,72],"with":[15,122],"or":[16],"without":[17],"convex":[18],"constraints":[19],"by":[20],"finite":[22,93],"element":[23,94],"method.":[24],"For":[25,68],"general":[27,52],"family":[28],"that":[33],"facilitates":[34],"error":[35,66,79],"analysis":[36],"for":[37,65,90],"solutions,":[39,84],"existence":[42],"and":[43,60,114],"uniqueness":[44],"are":[45,86,103,118],"proved.":[46],"The":[47],"Galerkin":[48],"approximation":[49],"inequality":[55,62],"shown":[57],"converge,":[59],"C\u00e9a's":[61],"derived":[64],"estimation.":[67],"various":[69],"arising":[73],"in":[74,119],"contact":[75,112],"mechanics,":[76],"we":[77],"provide":[78],"estimates":[80],"their":[82],"which":[85],"optimal":[88],"order":[89],"linear":[92,107,126],"method,":[95],"under":[96],"appropriate":[97],"regularity":[99],"assumptions.":[100],"Numerical":[101],"examples":[102],"reported":[104],"on":[105],"using":[106],"elements":[108],"solve":[110],"sample":[111],"problems,":[113],"simulation":[116],"results":[117],"good":[120],"agreement":[121],"theoretically":[124],"predicted":[125],"convergence.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
