{"id":"https://openalex.org/W2092100738","doi":"https://doi.org/10.1137/050642332","title":"Mixed Higher Order Spectral Finite Elements for Reissner\u2013Mindlin Equations","display_name":"Mixed Higher Order Spectral Finite Elements for Reissner\u2013Mindlin Equations","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2092100738","doi":"https://doi.org/10.1137/050642332","mag":"2092100738"},"language":"en","primary_location":{"id":"doi:10.1137/050642332","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050642332","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":"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/A5109549737","display_name":"Gary Cohen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146116","display_name":"POEMS: Propagation des Ondes : Etude Math\u00e9matique et Simulationan","ror":"https://ror.org/03gvm2667","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I1326498283","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210126360","https://openalex.org/I4210126360","https://openalex.org/I4210145102","https://openalex.org/I4210146116","https://openalex.org/I4405254745","https://openalex.org/I4405260730"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"G. Cohen","raw_affiliation_strings":["Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation","institution_ids":["https://openalex.org/I4210146116"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018413824","display_name":"Pascal Grob","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146116","display_name":"POEMS: Propagation des Ondes : Etude Math\u00e9matique et Simulationan","ror":"https://ror.org/03gvm2667","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I1326498283","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210126360","https://openalex.org/I4210126360","https://openalex.org/I4210145102","https://openalex.org/I4210146116","https://openalex.org/I4405254745","https://openalex.org/I4405260730"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Grob","raw_affiliation_strings":["Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation","institution_ids":["https://openalex.org/I4210146116"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210146116"],"apc_list":null,"apc_paid":null,"fwci":0.8315,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.75532155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"29","issue":"3","first_page":"986","last_page":"1005"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8035820722579956},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5777531862258911},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5373142957687378},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5273350477218628},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5072490572929382},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4434594213962555},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43624767661094666},{"id":"https://openalex.org/keywords/time-stepping","display_name":"Time stepping","score":0.435394823551178},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.42245346307754517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08666065335273743},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06036478281021118}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8035820722579956},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5777531862258911},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5373142957687378},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5273350477218628},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5072490572929382},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4434594213962555},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43624767661094666},{"id":"https://openalex.org/C3019693144","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Time stepping","level":3,"score":0.435394823551178},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.42245346307754517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08666065335273743},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06036478281021118},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/050642332","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050642332","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:HAL:hal-00976782v1","is_oa":false,"landing_page_url":"https://ensta.hal.science/hal-00976782","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, 2007, 29 (3), pp.986-1005. &#x27E8;10.1137/050642332&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1735975942","https://openalex.org/W1969462451","https://openalex.org/W1998382736","https://openalex.org/W2021442891","https://openalex.org/W2030213082","https://openalex.org/W2042252224","https://openalex.org/W2052894907","https://openalex.org/W2075042757","https://openalex.org/W2089867244","https://openalex.org/W2092570234","https://openalex.org/W2109911863","https://openalex.org/W2149776106","https://openalex.org/W2159094357","https://openalex.org/W2159571169","https://openalex.org/W2172016689","https://openalex.org/W2261621682","https://openalex.org/W2266285536","https://openalex.org/W2323740545","https://openalex.org/W3101224779"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2381570729","https://openalex.org/W1976205134","https://openalex.org/W4248336175","https://openalex.org/W2031260042","https://openalex.org/W2391445434","https://openalex.org/W3009369890","https://openalex.org/W4312490297","https://openalex.org/W2062212388"],"abstract_inverted_index":{"We":[0,35],"construct":[1],"a":[2],"class":[3],"of":[4,54,59],"high":[5],"order":[6],"numerical":[7],"approximations":[8],"for":[9],"the":[10,15,38,52,55],"Reissner\u2013Mindlin":[11,39],"plate":[12],"model":[13,40],"in":[14,57],"time":[16],"domain,":[17],"based":[18],"on":[19],"mixed":[20],"spectral":[21],"finite":[22],"elements":[23],"with":[24],"mass":[25],"lumping.":[26],"In":[27],"this":[28],"way":[29],"we":[30,50],"obtain":[31],"explicit":[32],"time\u2010stepping":[33],"schemes.":[34],"first":[36],"compare":[37],"to":[41,45],"three\u2010dimensional":[42],"(3D)":[43],"solutions":[44],"validate":[46],"our":[47],"method.":[48],"Then,":[49],"show":[51],"advantages":[53],"schemes":[56],"terms":[58],"accuracy":[60],"and":[61],"computational":[62],"time.":[63]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
