{"id":"https://openalex.org/W4367052233","doi":"https://doi.org/10.1137/22m1498838","title":"A Discontinuous Petrov\u2013Galerkin Method for Reissner\u2013Mindlin Plates","display_name":"A Discontinuous Petrov\u2013Galerkin Method for Reissner\u2013Mindlin Plates","publication_year":2023,"publication_date":"2023-04-26","ids":{"openalex":"https://openalex.org/W4367052233","doi":"https://doi.org/10.1137/22m1498838"},"language":"en","primary_location":{"id":"doi:10.1137/22m1498838","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1498838","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/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":true,"raw_author_name":"Thomas F\u00fchrer","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Chile"],"raw_orcid":"https://orcid.org/0000-0001-5034-6593","affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"middle","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":false,"raw_author_name":"Norbert Heuer","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037371679","display_name":"Antti H. Niemi","orcid":"https://orcid.org/0000-0002-4007-7147"},"institutions":[{"id":"https://openalex.org/I98381234","display_name":"University of Oulu","ror":"https://ror.org/03yj89h83","country_code":"FI","type":"education","lineage":["https://openalex.org/I98381234"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Antti H. Niemi","raw_affiliation_strings":["Civil Engineering Research Unit, Faculty of Technology, University of Oulu, Pentti Kaiteran katu 1, 90570 Oulu, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Civil Engineering Research Unit, Faculty of Technology, University of Oulu, Pentti Kaiteran katu 1, 90570 Oulu, Finland","institution_ids":["https://openalex.org/I98381234"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012941359"],"corresponding_institution_ids":["https://openalex.org/I162148367"],"apc_list":null,"apc_paid":null,"fwci":0.6212,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60140277,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"61","issue":"2","first_page":"995","last_page":"1017"},"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":0.9998999834060669,"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":0.9986000061035156,"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":0.8509204387664795},{"id":"https://openalex.org/keywords/petrov\u2013galerkin-method","display_name":"Petrov\u2013Galerkin method","score":0.6451543569564819},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5663642883300781},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4947788119316101},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4860992431640625},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.4821319580078125},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.46178749203681946},{"id":"https://openalex.org/keywords/bending","display_name":"Bending","score":0.44423747062683105},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4438386559486389},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.43335866928100586},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2644538879394531},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.246067076921463},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07462102174758911}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8509204387664795},{"id":"https://openalex.org/C2778540877","wikidata":"https://www.wikidata.org/wiki/Q7179155","display_name":"Petrov\u2013Galerkin method","level":3,"score":0.6451543569564819},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5663642883300781},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4947788119316101},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4860992431640625},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.4821319580078125},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.46178749203681946},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.44423747062683105},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4438386559486389},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.43335866928100586},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2644538879394531},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.246067076921463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07462102174758911},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1498838","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1498838","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":[{"score":0.5,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G663872660","display_name":null,"funder_award_id":"1190009","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"},{"id":"https://openalex.org/G8699674065","display_name":null,"funder_award_id":"1210391","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320338073","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W35607977","https://openalex.org/W1955273710","https://openalex.org/W1969462451","https://openalex.org/W1974174540","https://openalex.org/W1975941099","https://openalex.org/W1976385614","https://openalex.org/W1977982980","https://openalex.org/W1980817421","https://openalex.org/W1985405375","https://openalex.org/W1986097487","https://openalex.org/W2005800036","https://openalex.org/W2006871241","https://openalex.org/W2010586261","https://openalex.org/W2035654636","https://openalex.org/W2044157372","https://openalex.org/W2050380910","https://openalex.org/W2067746317","https://openalex.org/W2069527397","https://openalex.org/W2102333302","https://openalex.org/W2119759746","https://openalex.org/W2505585705","https://openalex.org/W2605593836","https://openalex.org/W2962941889","https://openalex.org/W2963180864","https://openalex.org/W2963421374","https://openalex.org/W3022564892","https://openalex.org/W3096740682","https://openalex.org/W3127958164","https://openalex.org/W3157088240","https://openalex.org/W3185614114","https://openalex.org/W4230962563","https://openalex.org/W4294884777"],"related_works":["https://openalex.org/W2019072617","https://openalex.org/W2035079619","https://openalex.org/W2036921130","https://openalex.org/W33594368","https://openalex.org/W4298411926","https://openalex.org/W2100588850","https://openalex.org/W2140087805","https://openalex.org/W2944352952","https://openalex.org/W4289419850","https://openalex.org/W2897058341"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,21,26],"discontinuous":[3],"Petrov\u2013Galerkin":[4],"method":[5,17,52],"with":[6],"optimal":[7],"test":[8],"functions":[9],"for":[10],"the":[11,30,37,41,51,56,65],"Reissner\u2013Mindlin":[12],"plate":[13],"bending":[14,42],"model.":[15],"Our":[16],"is":[18,68],"based":[19],"on":[20],"variational":[22],"formulation":[23],"that":[24,64],"utilizes":[25],"Helmholtz":[27],"decomposition":[28],"of":[29,36,48,58],"shear":[31],"force.":[32],"It":[33],"produces":[34],"approximations":[35],"primitive":[38],"variables":[39],"and":[40],"moments.":[43],"For":[44],"any":[45],"canonical":[46],"selection":[47],"boundary":[49],"conditions":[50],"converges":[53],"quasi-optimally.":[54],"In":[55],"case":[57],"hard-clamped":[59],"convex":[60],"plates,":[61],"we":[62],"prove":[63],"lowest-order":[66],"scheme":[67],"locking":[69],"free.":[70],"Several":[71],"numerical":[72],"experiments":[73],"confirm":[74],"our":[75],"results.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}