{"id":"https://openalex.org/W2008896163","doi":"https://doi.org/10.1137/s1052623401395061","title":"Shape Optimization in Contact Problems with Coulomb Friction","display_name":"Shape Optimization in Contact Problems with Coulomb Friction","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2008896163","doi":"https://doi.org/10.1137/s1052623401395061","mag":"2008896163"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623401395061","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623401395061","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","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/A5071768051","display_name":"Petr Beremlijski","orcid":"https://orcid.org/0000-0002-6447-4104"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"P. Beremlijski","raw_affiliation_strings":["Technical University of Ostrava"],"affiliations":[{"raw_affiliation_string":"Technical University of Ostrava","institution_ids":["https://openalex.org/I142208455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011821648","display_name":"Jaroslav Haslinger","orcid":"https://orcid.org/0000-0003-0899-9026"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Haslinger","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041987187","display_name":"Michal Ko\u010dvara","orcid":"https://orcid.org/0000-0003-4414-0083"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Kocvara","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5009389694","display_name":"Jan Outrata","orcid":"https://orcid.org/0000-0002-2341-5933"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Outrata","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5071768051"],"corresponding_institution_ids":["https://openalex.org/I142208455"],"apc_list":null,"apc_paid":null,"fwci":0.3388,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.54664509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"2","first_page":"561","last_page":"587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9997000098228455,"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":0.9997000098228455,"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":0.982699990272522,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/uniqueness","display_name":"Uniqueness","score":0.7519574165344238},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7141598463058472},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.678109884262085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6535617113113403},{"id":"https://openalex.org/keywords/coulombs-law","display_name":"Coulomb's law","score":0.5419031977653503},{"id":"https://openalex.org/keywords/coulomb","display_name":"Coulomb","score":0.5343142747879028},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.5092746019363403},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5023119449615479},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.46632176637649536},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.45467621088027954},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4376230537891388},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.392559677362442},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3132985234260559},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.22027695178985596},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09015887975692749}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7519574165344238},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7141598463058472},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.678109884262085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6535617113113403},{"id":"https://openalex.org/C193874036","wikidata":"https://www.wikidata.org/wiki/Q83152","display_name":"Coulomb's law","level":4,"score":0.5419031977653503},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.5343142747879028},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.5092746019363403},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5023119449615479},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.46632176637649536},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.45467621088027954},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4376230537891388},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.392559677362442},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3132985234260559},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.22027695178985596},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09015887975692749},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"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":3,"locations":[{"id":"doi:10.1137/s1052623401395061","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623401395061","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"},{"id":"pmh:oai:dspace.vsb.cz:10084/57670","is_oa":false,"landing_page_url":"http://hdl.handle.net/10084/57670","pdf_url":null,"source":{"id":"https://openalex.org/S4306401668","display_name":"DSpace V\u0160B-TUO (V\u0160B-TUO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142208455","host_organization_name":"VSB - Technical University of Ostrava","host_organization_lineage":["https://openalex.org/I142208455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/3b7a81c0-7770-4cff-ac94-4471013aeb4e","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/3b7a81c0-7770-4cff-ac94-4471013aeb4e","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kocvara, M, Beremlijski, P, Haslinger, J & Outrata, J 2002, 'Shape optimization in contact problems with Coulomb friction', SIAM Journal on Optimization, vol. 13, no. 2, pp. 561-587. https://doi.org/10.1137/S1052623401395061","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W17229534","https://openalex.org/W178448309","https://openalex.org/W217831350","https://openalex.org/W271667515","https://openalex.org/W600840662","https://openalex.org/W1490132940","https://openalex.org/W1520204308","https://openalex.org/W1551360398","https://openalex.org/W1604627832","https://openalex.org/W1967011851","https://openalex.org/W1967077838","https://openalex.org/W1969162074","https://openalex.org/W1992688650","https://openalex.org/W2007877307","https://openalex.org/W2021639918","https://openalex.org/W2035762449","https://openalex.org/W2041928877","https://openalex.org/W2067547116","https://openalex.org/W2090963365","https://openalex.org/W2101340781","https://openalex.org/W2101743932","https://openalex.org/W2171243160","https://openalex.org/W2478091498","https://openalex.org/W2985272081","https://openalex.org/W4231147659","https://openalex.org/W4234028290","https://openalex.org/W4292079189","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W1840006687","https://openalex.org/W3204150836","https://openalex.org/W2023711181","https://openalex.org/W2931536962","https://openalex.org/W2354357583","https://openalex.org/W2973229234","https://openalex.org/W2050588765","https://openalex.org/W2135109481","https://openalex.org/W2021135805","https://openalex.org/W2019312217"],"abstract_inverted_index":{"The":[0,17,86,102],"paper":[1],"deals":[2],"with":[3,59,98],"a":[4,44,63,73,76,92,125],"discretized":[5,57],"problem":[6,41,58,89],"of":[7,11,27,37,54,75,82,94,104,123,161,177],"the":[8,25,31,38,56,80,83,105,114,131,134,141,154,159,162,173,178],"shape":[9,81,87],"optimization":[10,88],"elastic":[12,84],"bodies":[13],"in":[14,149,153],"unilateral":[15],"contact.":[16],"aim":[18],"is":[19,48,70,144,165],"to":[20,24,43,91,112],"extend":[21],"existing":[22],"results":[23,164],"case":[26],"contact":[28],"problems":[29],"following":[30],"Coulomb":[32,39,60],"friction":[33,40,55,61],"law.":[34],"Mathematical":[35],"modelling":[36],"leads":[42],"quasi-variational":[45],"inequality.":[46],"It":[47],"shown":[49],"that":[50,67],"for":[51,107],"small":[52],"coefficients":[53],"has":[62],"unique":[64],"solution":[65,69],"and":[66,133,158,175],"this":[68,139],"Lipschitzian":[71],"as":[72],"function":[74,128],"control":[77],"variable":[78],"describing":[79],"body.":[85],"belongs":[90],"class":[93],"so-called":[95,115],"mathematical":[96],"programs":[97],"equilibrium":[99],"constraints":[100],"(MPECs).":[101],"uniqueness":[103],"equilibria":[106],"fixed":[108],"controls":[109],"enables":[110],"us":[111],"apply":[113],"implicit":[116],"programming":[117],"approach.":[118,180],"Its":[119],"main":[120],"idea":[121],"consists":[122],"minimizing":[124],"nonsmooth":[126],"composite":[127],"generated":[129],"by":[130,166],"objective":[132],"(single-valued)":[135],"control-state":[136,142],"mapping.":[137],"In":[138],"paper,":[140],"mapping":[143],"much":[145],"more":[146],"complicated":[147],"than":[148],"most":[150],"MPECs":[151],"solved":[152],"literature":[155],"so":[156],"far,":[157],"generalization":[160],"relevant":[163],"no":[167],"means":[168],"straightforward.":[169],"Numerical":[170],"examples":[171],"illustrate":[172],"efficiency":[174],"reliability":[176],"suggested":[179]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}