{"id":"https://openalex.org/W4310436390","doi":"https://doi.org/10.1090/mcom/3793","title":"On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D","display_name":"On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D","publication_year":2022,"publication_date":"2022-11-30","ids":{"openalex":"https://openalex.org/W4310436390","doi":"https://doi.org/10.1090/mcom/3793"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3793","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3793","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","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/A5049235940","display_name":"Stefan Sauter","orcid":"https://orcid.org/0000-0002-1403-1874"},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Stefan Sauter","raw_affiliation_strings":["Institut f\u00c3\u00bcr Mathematik, Universit\u00c3\u00a4t Z\u00c3\u00bcrich, Winterthurerstr 190, CH-8057 Z\u00c3\u00bcrich, Switzerland","Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Winterthurerstr 190, CH-8057 Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00c3\u00bcr Mathematik, Universit\u00c3\u00a4t Z\u00c3\u00bcrich, Winterthurerstr 190, CH-8057 Z\u00c3\u00bcrich, Switzerland","institution_ids":["https://openalex.org/I202697423"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Z\u00fcrich, Winterthurerstr 190, CH-8057 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I202697423"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012506337","display_name":"C\u00e9line Torres","orcid":"https://orcid.org/0000-0001-9654-7438"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C\u00e9line Torres","raw_affiliation_strings":["Department of Mathematics, University of Maryland, 4176 Campus Drive - William E. Kirwan Hall, College Park, Maryland 20742"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maryland, 4176 Campus Drive - William E. Kirwan Hall, College Park, Maryland 20742","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049235940"],"corresponding_institution_ids":["https://openalex.org/I202697423"],"apc_list":null,"apc_paid":null,"fwci":1.163,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.7415744,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"92","issue":"341","first_page":"1033","last_page":"1059"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9968000054359436,"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":0.9962999820709229,"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/algorithm","display_name":"Algorithm","score":0.5833665132522583},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4191533327102661},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39965057373046875}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5833665132522583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4191533327102661},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39965057373046875}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/3793","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3793","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:www.zora.uzh.ch:229598","is_oa":false,"landing_page_url":"https://www.zora.uzh.ch/229598","pdf_url":null,"source":{"id":"https://openalex.org/S4306401281","display_name":"Zurich Open Repository and Archive (University of Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I202697423","host_organization_name":"University of Zurich","host_organization_lineage":["https://openalex.org/I202697423"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sauter, Stefan; Torres, C\u00e9line  (2022). On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D.  Mathematics of Computation, 92(341):1033-1059.","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G3507091338","display_name":null,"funder_award_id":"P500PT_203082","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W51173305","https://openalex.org/W209576205","https://openalex.org/W581370568","https://openalex.org/W1979157226","https://openalex.org/W1985585771","https://openalex.org/W1987718326","https://openalex.org/W2007903663","https://openalex.org/W2008008473","https://openalex.org/W2012973431","https://openalex.org/W2069902256","https://openalex.org/W2076348374","https://openalex.org/W2076725930","https://openalex.org/W2130010995","https://openalex.org/W2145344822","https://openalex.org/W2592623476","https://openalex.org/W2962798524","https://openalex.org/W2963374982","https://openalex.org/W3167988799","https://openalex.org/W3170203178","https://openalex.org/W4226065923","https://openalex.org/W4231507543","https://openalex.org/W4246733054","https://openalex.org/W4252104256","https://openalex.org/W4253412124","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694"],"abstract_inverted_index":{"We":[0,75,113],"consider":[1],"discretizations":[2],"of":[3],"the":[4,20,67,83,119,163],"stationary":[5],"Stokes":[6,84,153],"equation":[7,85],"in":[8,19,29,62,64,70],"three":[9],"spatial":[10],"dimensions":[11],"by":[12,23,161],"non-conforming":[13],"Crouzeix-Raviart":[14,60,80,165],"elements.":[15],"The":[16],"original":[17],"definition":[18],"seminal":[21],"paper":[22],"M.":[24],"Crouzeix":[25],"and":[26,45,155],"P.-A.":[27],"Raviart":[28],"1973":[30],"[Rev.":[31],"Fran\u00e7aise":[32],"Automat.":[33],"Informat.":[34],"Recherche":[35],"Op\u00e9rationnelle":[36],"S\u00e9r.":[37],"Rouge":[38],"7":[39],"(1973),":[40],"pp.":[41],"33\u201375]":[42],"is":[43,86],"implicit":[44],"also":[46],"contains":[47],"substantial":[48],"freedom":[49],"for":[50,82,89,118],"a":[51,71],"concrete":[52],"choice.":[53],"In":[54],"this":[55,78],"paper,":[56],"we":[57],"introduce":[58],"<italic>basic</italic>":[59],"spaces":[61],"3D":[63,152],"analogy":[65],"to":[66],"2D":[68],"case":[69],"fully":[72],"explicit":[73],"way.":[74],"prove":[76],"that":[77,157],"basic":[79,164],"element":[81,154],"inf-sup":[87],"stable":[88],"polynomial":[90],"degree":[91],"<inline-formula":[92,121],"content-type=\"math/mathml\">":[93,122],"<mml:math":[94,123],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[95,124],"alttext=\"k":[96],"equals":[97],"2\">":[98],"<mml:semantics>":[99,132],"<mml:mrow>":[100,133],"<mml:mi>k</mml:mi>":[101,135,137],"<mml:mo>=</mml:mo>":[102],"<mml:mn>2</mml:mn>":[103],"</mml:mrow>":[104,143],"<mml:annotation":[105,144],"encoding=\"application/x-tex\">k=2</mml:annotation>":[106],"</mml:semantics>":[107,149],"</mml:math>":[108,150],"</inline-formula>":[109,151],"(quadratic":[110],"velocity":[111],"approximation).":[112],"identify":[114],"spurious":[115],"pressure":[116],"modes":[117],"conforming":[120],"alttext=\"left-parenthesis":[125],"k":[126,128],"comma":[127],"minus":[129],"1":[130],"right-parenthesis\">":[131],"<mml:mo>(</mml:mo>":[134],"<mml:mo>,</mml:mo>":[136],"<mml:mo>":[138],"\u2212":[139],"</mml:mo>":[140],"<mml:mn>1</mml:mn>":[141],"<mml:mo>)</mml:mo>":[142],"encoding=\"application/x-tex\">\\left":[145],"(":[146],"k,k-1\\right":[147],")</mml:annotation>":[148],"show":[156],"these":[158],"are":[159],"eliminated":[160],"using":[162],"space.":[166]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-04-23T06:14:38.165362","created_date":"2025-10-10T00:00:00"}