{"id":"https://openalex.org/W2915543575","doi":"https://doi.org/10.1137/19m1246869","title":"On Nitsche's Method for Elastic Contact Problems","display_name":"On Nitsche's Method for Elastic Contact Problems","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2915543575","doi":"https://doi.org/10.1137/19m1246869","mag":"2915543575"},"language":"en","primary_location":{"id":"doi:10.1137/19m1246869","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1246869","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1902.09312","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023168269","display_name":"Tom Gustafsson","orcid":"https://orcid.org/0000-0003-1611-5032"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tom Gustafsson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006069937","display_name":"Rolf Stenberg","orcid":"https://orcid.org/0000-0001-9012-2754"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rolf Stenberg","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5067441095","display_name":"Juha Videman","orcid":"https://orcid.org/0000-0001-8194-1635"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Juha Videman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00467627,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"2","first_page":"B425","last_page":"B446"},"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/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/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"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/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7253432273864746},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7229951620101929},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.705773115158081},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6123064756393433},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6107697486877441},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.5493131875991821},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5333690047264099},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4145592749118805},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3911415636539459},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3008645176887512},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.11309686303138733},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10447314381599426},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.057559072971343994}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7253432273864746},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7229951620101929},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.705773115158081},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6123064756393433},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6107697486877441},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.5493131875991821},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5333690047264099},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4145592749118805},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3911415636539459},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3008645176887512},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.11309686303138733},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10447314381599426},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.057559072971343994},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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":5,"locations":[{"id":"doi:10.1137/19m1246869","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1246869","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1902.09312","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.09312","pdf_url":"https://arxiv.org/pdf/1902.09312","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:2915543575","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1902.09312","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/45859","is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/f9229aac-3e62-4f34-a01a-861077efabc0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401663","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"doi:10.48550/arxiv.1902.09312","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.09312","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1902.09312","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.09312","pdf_url":"https://arxiv.org/pdf/1902.09312","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G5873429375","display_name":null,"funder_award_id":"PTDC/MAT-PUR/28686/2017","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G8039109541","display_name":null,"funder_award_id":"UTAP-EXPL/MAT/0017/2017","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W178448309","https://openalex.org/W253824085","https://openalex.org/W574578250","https://openalex.org/W1586725846","https://openalex.org/W1967316273","https://openalex.org/W1985822578","https://openalex.org/W1991670087","https://openalex.org/W2019549211","https://openalex.org/W2048166110","https://openalex.org/W2053062980","https://openalex.org/W2062002217","https://openalex.org/W2079423956","https://openalex.org/W2091745205","https://openalex.org/W2094792403","https://openalex.org/W2121989547","https://openalex.org/W2314187005","https://openalex.org/W2557307378","https://openalex.org/W2597387777","https://openalex.org/W2622581481","https://openalex.org/W2638479126","https://openalex.org/W2789039774","https://openalex.org/W2953155905","https://openalex.org/W3102985974","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W2952926814","https://openalex.org/W2993918768","https://openalex.org/W2963847861","https://openalex.org/W3209420768","https://openalex.org/W183165678","https://openalex.org/W2188800797","https://openalex.org/W2953306747","https://openalex.org/W3127449402","https://openalex.org/W2108657169","https://openalex.org/W2962974623","https://openalex.org/W2950602859","https://openalex.org/W1481152616","https://openalex.org/W2953161679","https://openalex.org/W3158229558","https://openalex.org/W2619829553","https://openalex.org/W2504766819","https://openalex.org/W3011020079","https://openalex.org/W3040352257","https://openalex.org/W3117811428","https://openalex.org/W2972177499"],"abstract_inverted_index":{"We":[0,52],"show":[1,73],"quasi-optimality":[2],"and":[3,47,79],"a":[4,18,30,66,85],"posteriori":[5,86],"error":[6,38,87],"estimates":[7,39],"for":[8,35,59],"the":[9,37,49,60,74,81,84],"frictionless":[10],"contact":[11,61],"problem":[12],"between":[13],"two":[14],"elastic":[15],"bodies":[16],"with":[17,43],"zero-gap":[19],"function.":[20],"The":[21],"analysis":[22],"is":[23],"based":[24],"on":[25],"interpreting":[26],"Nitsche's":[27,56,77],"method":[28,34,78],"as":[29],"stabilized":[31],"finite":[32],"element":[33],"which":[36],"can":[40],"be":[41],"obtained":[42],"minimal":[44],"regularity":[45],"assumptions":[46],"without":[48],"saturation":[50],"assumption.":[51],"present":[53],"three":[54],"different":[55,67],"mortaring":[57],"techniques":[58],"boundary,":[62],"each":[63],"corresponding":[64],"to":[65],"stabilizing":[68],"term.":[69],"Our":[70],"numerical":[71],"experiments":[72],"robustness":[75],"of":[76,83],"corroborate":[80],"efficiency":[82],"estimators.":[88]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
