{"id":"https://openalex.org/W3014840025","doi":"https://doi.org/10.1515/cmam-2020-0048","title":"A Locking-Free DPG Scheme for Timoshenko Beams","display_name":"A Locking-Free DPG Scheme for Timoshenko Beams","publication_year":2020,"publication_date":"2020-08-05","ids":{"openalex":"https://openalex.org/W3014840025","doi":"https://doi.org/10.1515/cmam-2020-0048","mag":"3014840025"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2020-0048","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2020-0048","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2004.00455","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012941359","display_name":"Thomas F\u00fchrer","orcid":"https://orcid.org/0000-0001-5034-6593"},"institutions":[{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Thomas F\u00fchrer","raw_affiliation_strings":["Facultad de Matem\u00e1ticas , Pontificia Universidad Cat\u00f3lica de Chile , Avenida Vicu\u00f1a Mackenna 4860 , Santiago , Chile","Pontifical Catholic University of Chile#TAB#"],"raw_orcid":"https://orcid.org/0000-0001-5034-6593","affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas , Pontificia Universidad Cat\u00f3lica de Chile , Avenida Vicu\u00f1a Mackenna 4860 , Santiago , Chile","institution_ids":["https://openalex.org/I162148367"]},{"raw_affiliation_string":"Pontifical Catholic University of Chile#TAB#","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004366789","display_name":"Carlos Garc\u00eda","orcid":"https://orcid.org/0000-0002-2043-8195"},"institutions":[{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Carlos Garc\u00eda Vera","raw_affiliation_strings":["Facultad de Matem\u00e1ticas , Pontificia Universidad Cat\u00f3lica de Chile , Avenida Vicu\u00f1a Mackenna 4860 , Santiago , Chile","Pontifical Catholic University of Chile#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas , Pontificia Universidad Cat\u00f3lica de Chile , Avenida Vicu\u00f1a Mackenna 4860 , Santiago , Chile","institution_ids":["https://openalex.org/I162148367"]},{"raw_affiliation_string":"Pontifical Catholic University of Chile#TAB#","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005069559","display_name":"Norbert Heuer","orcid":"https://orcid.org/0000-0002-5171-1457"},"institutions":[{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Norbert Heuer","raw_affiliation_strings":["Facultad de Matem\u00e1ticas , Pontificia Universidad Cat\u00f3lica de Chile , Avenida Vicu\u00f1a Mackenna 4860 , Santiago , Chile","Pontifical Catholic University of Chile#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-5171-1457","affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas , Pontificia Universidad Cat\u00f3lica de Chile , Avenida Vicu\u00f1a Mackenna 4860 , Santiago , Chile","institution_ids":["https://openalex.org/I162148367"]},{"raw_affiliation_string":"Pontifical Catholic University of Chile#TAB#","institution_ids":["https://openalex.org/I162148367"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005069559"],"corresponding_institution_ids":["https://openalex.org/I162148367"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03241268,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"2","first_page":"373","last_page":"383"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9983999729156494,"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/deflection","display_name":"Deflection (physics)","score":0.7069190740585327},{"id":"https://openalex.org/keywords/bending-moment","display_name":"Bending moment","score":0.6038309931755066},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.6000711917877197},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5049744248390198},{"id":"https://openalex.org/keywords/timoshenko-beam-theory","display_name":"Timoshenko beam theory","score":0.5037404894828796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5016899108886719},{"id":"https://openalex.org/keywords/transverse-plane","display_name":"Transverse plane","score":0.4520842134952545},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4367557764053345},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4325658977031708},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4195868968963623},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40921756625175476},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.38669493794441223},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.24201679229736328},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22301414608955383},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.19907128810882568},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11471179127693176}],"concepts":[{"id":"https://openalex.org/C2781355719","wikidata":"https://www.wikidata.org/wiki/Q2080698","display_name":"Deflection (physics)","level":2,"score":0.7069190740585327},{"id":"https://openalex.org/C70673446","wikidata":"https://www.wikidata.org/wiki/Q857244","display_name":"Bending moment","level":2,"score":0.6038309931755066},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.6000711917877197},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5049744248390198},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.5037404894828796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5016899108886719},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.4520842134952545},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4367557764053345},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4325658977031708},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4195868968963623},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40921756625175476},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.38669493794441223},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.24201679229736328},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22301414608955383},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.19907128810882568},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11471179127693176},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1515/cmam-2020-0048","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2020-0048","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2004.00455","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.00455","pdf_url":"https://arxiv.org/pdf/2004.00455","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"text"},{"id":"mag:3014840025","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2004.00455","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"doi:10.48550/arxiv.2004.00455","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.00455","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2004.00455","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.00455","pdf_url":"https://arxiv.org/pdf/2004.00455","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2583151368","display_name":null,"funder_award_id":"11170050","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G2884761931","display_name":null,"funder_award_id":"Fondecyt 3190359","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G3986723530","display_name":null,"funder_award_id":"Fondecyt 1190009","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G5949373844","display_name":null,"funder_award_id":"Fondecyt 11170050","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3014840025.pdf","grobid_xml":"https://content.openalex.org/works/W3014840025.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1955273710","https://openalex.org/W1963659668","https://openalex.org/W1964445810","https://openalex.org/W1980817421","https://openalex.org/W2016112718","https://openalex.org/W2017340651","https://openalex.org/W2048846455","https://openalex.org/W2060065779","https://openalex.org/W2063665081","https://openalex.org/W2091887463","https://openalex.org/W2102333302","https://openalex.org/W2211063485","https://openalex.org/W2962941889","https://openalex.org/W2963180864","https://openalex.org/W3022564892","https://openalex.org/W3025254139","https://openalex.org/W3097613224"],"related_works":["https://openalex.org/W3069814822","https://openalex.org/W3172023188","https://openalex.org/W2017340651","https://openalex.org/W1972116514","https://openalex.org/W3139487206","https://openalex.org/W3034392112","https://openalex.org/W399748404","https://openalex.org/W2003901845","https://openalex.org/W2034179788","https://openalex.org/W3121235251","https://openalex.org/W2394470112","https://openalex.org/W2101092596","https://openalex.org/W2997524155","https://openalex.org/W2079666671","https://openalex.org/W2594816046","https://openalex.org/W1425267820","https://openalex.org/W3201816153","https://openalex.org/W2565347680","https://openalex.org/W2056504025","https://openalex.org/W3132106774"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"develop":[2],"a":[3],"discontinuous":[4],"Petrov\u2013Galerkin":[5],"scheme":[6,31],"with":[7,19],"optimal":[8],"test":[9],"functions":[10],"(DPG":[11],"method)":[12],"for":[13],"the":[14,33,63,67,74],"Timoshenko":[15],"beam":[16],"bending":[17,37],"model":[18],"various":[20],"boundary":[21],"conditions,":[22],"combining":[23],"clamped,":[24],"simply":[25],"supported,":[26],"and":[27,36,51],"free":[28],"ends.":[29],"Our":[30],"approximates":[32],"transverse":[34],"deflection":[35],"moment.":[38],"It":[39],"converges":[40],"quasi-optimally":[41],"in":[42,62],"<m:math":[43],"xmlns:m=\"http://www.w3.org/1998/Math/MathML\">":[44],"<m:msub>":[45],"<m:mi>L</m:mi>":[46],"<m:mn>2</m:mn>":[47],"</m:msub>":[48],"</m:math>":[49],"{L_{2}}":[50],"is":[52],"locking":[53],"free.":[54],"In":[55],"particular,":[56],"it":[57],"behaves":[58],"well":[59],"(converges":[60],"quasi-optimally)":[61],"limit":[64],"case":[65],"of":[66,76],"Euler\u2013Bernoulli":[68],"model.":[69],"Several":[70],"numerical":[71],"results":[72],"illustrate":[73],"performance":[75],"our":[77],"method.":[78]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
