{"id":"https://openalex.org/W2105551156","doi":"https://doi.org/10.1137/110824139","title":"The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust","display_name":"The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2105551156","doi":"https://doi.org/10.1137/110824139","mag":"2105551156"},"language":"en","primary_location":{"id":"doi:10.1137/110824139","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110824139","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/A5036808184","display_name":"Carsten Carstensen","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Carsten Carstensen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5059147996","display_name":"Hella Rabus","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hella Rabus","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036808184"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.743,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.90066082,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"50","issue":"3","first_page":"1264","last_page":"1283"},"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":1.0,"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":1.0,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","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/T10514","display_name":"Numerical methods in engineering","score":0.9980999827384949,"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":0.864171028137207},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7330690622329712},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6312726736068726},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6056585311889648},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.533726155757904},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5182097554206848},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5128112435340881},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5016980171203613},{"id":"https://openalex.org/keywords/linear-elasticity","display_name":"Linear elasticity","score":0.437882661819458},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43761107325553894},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.41788867115974426},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.41716158390045166},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4116743505001068}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.864171028137207},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7330690622329712},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6312726736068726},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6056585311889648},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.533726155757904},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5182097554206848},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5128112435340881},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5016980171203613},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.437882661819458},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43761107325553894},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.41788867115974426},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.41716158390045166},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4116743505001068},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/110824139","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110824139","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1492326914","https://openalex.org/W1995404822","https://openalex.org/W2009985306","https://openalex.org/W2011916591","https://openalex.org/W2018702209","https://openalex.org/W2023070026","https://openalex.org/W2028252376","https://openalex.org/W2029348449","https://openalex.org/W2036607335","https://openalex.org/W2036927094","https://openalex.org/W2039412304","https://openalex.org/W2039924562","https://openalex.org/W2043594669","https://openalex.org/W2044959876","https://openalex.org/W2058824833","https://openalex.org/W2067802257","https://openalex.org/W2071902409","https://openalex.org/W2072811159","https://openalex.org/W2084743165","https://openalex.org/W2107813568","https://openalex.org/W2108066087","https://openalex.org/W2122461891","https://openalex.org/W2151369319","https://openalex.org/W2157121531","https://openalex.org/W2158071170","https://openalex.org/W2594541596","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W2951695430","https://openalex.org/W4403749602","https://openalex.org/W2012983134","https://openalex.org/W4300891849","https://openalex.org/W2318687609","https://openalex.org/W91590591","https://openalex.org/W1525257472","https://openalex.org/W159772521","https://openalex.org/W2950100995","https://openalex.org/W3170064006"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3],"natural":[4],"nonconforming":[5],"adaptive":[6],"finite":[7],"element":[8],"algorithm":[9],"and":[10,52],"proves":[11],"its":[12],"quasi-optimal":[13,43],"complexity":[14],"for":[15,48],"the":[16,29,36,42,54,63],"pure":[17],"displacement":[18],"Navier\u2013Lam\u00e9":[19],"equations.":[20],"The":[21],"convergence":[22,44],"rates":[23],"are":[24,57],"robust":[25],"with":[26],"respect":[27],"to":[28],"Lam\u00e9":[30],"parameter":[31],"$\\lambda":[32,65],"\\to":[33],"\\infty$":[34],"in":[35,41,62],"sense":[37],"that":[38],"all":[39],"constants":[40],"rate":[45],"stay":[46],"bounded":[47],"almost":[49],"incompressible":[50],"materials":[51],"so":[53],"Stokes":[55],"equations":[56],"covered":[58],"by":[59],"our":[60],"analysis":[61],"limit":[64],"=":[66],"\\infty$.":[67]},"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":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"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"}
