{"id":"https://openalex.org/W2091887463","doi":"https://doi.org/10.1137/050635821","title":"Locking\u2010Free Optimal Discontinuous Galerkin Methods for Timoshenko Beams","display_name":"Locking\u2010Free Optimal Discontinuous Galerkin Methods for Timoshenko Beams","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2091887463","doi":"https://doi.org/10.1137/050635821","mag":"2091887463"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/050635821","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5057749555","display_name":"Fatih Celiker","orcid":"https://orcid.org/0000-0001-7570-780X"},"institutions":[{"id":"https://openalex.org/I4210101327","display_name":"Twin Cities Orthopedics","ror":"https://ror.org/01en4s460","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210101327"]},{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fatih Celiker","raw_affiliation_strings":["University of Minnesota Twin Cities"],"affiliations":[{"raw_affiliation_string":"University of Minnesota Twin Cities","institution_ids":["https://openalex.org/I4210101327","https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091258269","display_name":"Bernardo Cockburn","orcid":"https://orcid.org/0000-0001-6085-3441"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bernardo Cockburn","raw_affiliation_strings":["University of\u00a0Minnesota"],"affiliations":[{"raw_affiliation_string":"University of\u00a0Minnesota","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057602544","display_name":"Henryk K. Stolarski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210162610","display_name":"Grantmakers for Effective Organizations","ror":"https://ror.org/0501kzx55","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210162610"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Henryk K. Stolarski","raw_affiliation_strings":["Civil, Environmental, and Geo- Engineering"],"affiliations":[{"raw_affiliation_string":"Civil, Environmental, and Geo- Engineering","institution_ids":["https://openalex.org/I4210162610"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.802,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":33,"citation_normalized_percentile":{"value":0.921207,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":91},"biblio":{"volume":"44","issue":"6","first_page":"2297","last_page":"2325"},"is_retracted":false,"is_paratext":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/T11416","display_name":"Numerical methods for differential equations","score":0.9997,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/timoshenko-beam-theory","display_name":"Timoshenko beam theory","score":0.66669875},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4243102}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8536931},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.69322497},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.66669875},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.62527364},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6153926},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.55667263},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5506902},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43956244},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4243102},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.39142638},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38750812},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.28589404},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06472656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.058619708},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/050635821","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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":27,"referenced_works":["https://openalex.org/W124316666","https://openalex.org/W1964445810","https://openalex.org/W1966192083","https://openalex.org/W1971666834","https://openalex.org/W1983141719","https://openalex.org/W1987826592","https://openalex.org/W1989374933","https://openalex.org/W2004049383","https://openalex.org/W2010844708","https://openalex.org/W2012938047","https://openalex.org/W2024321552","https://openalex.org/W2044935258","https://openalex.org/W2046454555","https://openalex.org/W2051045979","https://openalex.org/W2063164826","https://openalex.org/W2072236487","https://openalex.org/W2079580956","https://openalex.org/W2082741499","https://openalex.org/W2089642586","https://openalex.org/W2089867244","https://openalex.org/W2092094360","https://openalex.org/W2120868368","https://openalex.org/W2132782245","https://openalex.org/W2144669917","https://openalex.org/W2166217386","https://openalex.org/W2464803558","https://openalex.org/W4256651668"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W4238937692","https://openalex.org/W2887215440","https://openalex.org/W2394687667","https://openalex.org/W2389449359","https://openalex.org/W2162026849","https://openalex.org/W2037688108","https://openalex.org/W2030615608","https://openalex.org/W2007825860","https://openalex.org/W1992227257"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"the":[5,19,25,34,37,59,72],"so\u2010called":[6],"$hp$\u2010version":[7],"of":[8,36,53,66],"discontinuous":[9],"Galerkin":[10],"methods":[11,26,40],"for":[12],"Timoshenko":[13],"beams.":[14],"We":[15,47],"prove":[16,49],"that,":[17,50],"when":[18,51],"numerical":[20,60],"traces":[21,61],"are":[22,41,56,76],"properly":[23],"chosen,":[24],"display":[27],"optimal":[28],"convergence":[29],"uniformly":[30],"with":[31,63],"respect":[32],"to":[33],"thickness":[35],"beam.":[38],"These":[39],"thus":[42],"free":[43],"from":[44],"shear":[45],"locking.":[46],"also":[48],"polynomials":[52],"degree":[54],"p":[55],"used,":[57],"all":[58],"superconverge":[62],"a":[64],"rate":[65],"order":[67],"$h^{2p+1}/p^{2p+1}$.":[68],"Numerical":[69],"experiments":[70],"verifying":[71],"above\u2010mentioned":[73],"theoretical":[74],"results":[75],"shown.":[77]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2091887463","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-01-07T19:29:21.104914","created_date":"2016-06-24"}