{"id":"https://openalex.org/W4283328273","doi":"https://doi.org/10.1090/mcom/3837","title":"An arbitrary-order fully discrete Stokes complex on general polyhedral meshes","display_name":"An arbitrary-order fully discrete Stokes complex on general polyhedral meshes","publication_year":2023,"publication_date":"2023-04-12","ids":{"openalex":"https://openalex.org/W4283328273","doi":"https://doi.org/10.1090/mcom/3837"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3837","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3837","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2112.03125","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029884193","display_name":"Marien-Lorenzo Hanot","orcid":"https://orcid.org/0000-0003-2579-9317"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Marien-Lorenzo Hanot","raw_affiliation_strings":["IMAG, UMR CNRS 5149 and Universit\u00c3\u00a9 de Montpellier, Montpellier, France","IMAG, UMR CNRS 5149 and Universit\u00e9 de Montpellier, Montpellier, France","IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)"],"affiliations":[{"raw_affiliation_string":"IMAG, UMR CNRS 5149 and Universit\u00c3\u00a9 de Montpellier, Montpellier, France","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IMAG, UMR CNRS 5149 and Universit\u00e9 de Montpellier, Montpellier, France","institution_ids":[]},{"raw_affiliation_string":"IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029884193"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I19894307"],"apc_list":null,"apc_paid":null,"fwci":0.429,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.52131744,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"92","issue":"343","first_page":"1977","last_page":"2023"},"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9983000159263611,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7544327974319458},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.687126874923706},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.6608609557151794},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.5151759386062622},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4959960877895355},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4683273136615753},{"id":"https://openalex.org/keywords/curl","display_name":"Curl (programming language)","score":0.45719826221466064},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3254512548446655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1736813485622406},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16410842537879944}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7544327974319458},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.687126874923706},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.6608609557151794},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.5151759386062622},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4959960877895355},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4683273136615753},{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.45719826221466064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3254512548446655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1736813485622406},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16410842537879944},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"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":3,"locations":[{"id":"doi:10.1090/mcom/3837","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3837","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:arXiv.org:2112.03125","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2112.03125","pdf_url":"https://arxiv.org/pdf/2112.03125","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-03665576v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03665576","pdf_url":"https://hal.science/hal-03665576/document","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics of Computation, 2023, 92 (343), pp.1977-2023. ⟨10.1090/mcom/3837⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2112.03125","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2112.03125","pdf_url":"https://arxiv.org/pdf/2112.03125","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324952","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W616225202","https://openalex.org/W1602383637","https://openalex.org/W1973212083","https://openalex.org/W2005632248","https://openalex.org/W2007903663","https://openalex.org/W2014220840","https://openalex.org/W2058241749","https://openalex.org/W2097261197","https://openalex.org/W2113267855","https://openalex.org/W2119134040","https://openalex.org/W2135528252","https://openalex.org/W2316118679","https://openalex.org/W2339371798","https://openalex.org/W2398073235","https://openalex.org/W2611065617","https://openalex.org/W2744050773","https://openalex.org/W2764120414","https://openalex.org/W2798966834","https://openalex.org/W2888262565","https://openalex.org/W2950034650","https://openalex.org/W2963131956","https://openalex.org/W2963177319","https://openalex.org/W2986372024","https://openalex.org/W3004526186","https://openalex.org/W3013762016","https://openalex.org/W3047860540","https://openalex.org/W3080235095","https://openalex.org/W3124784883","https://openalex.org/W3208609848","https://openalex.org/W4213354557","https://openalex.org/W4225678565","https://openalex.org/W4251945824","https://openalex.org/W4324140986"],"related_works":["https://openalex.org/W2382844561","https://openalex.org/W2083529992","https://openalex.org/W816511862","https://openalex.org/W2007405763","https://openalex.org/W1557607869","https://openalex.org/W3136087161","https://openalex.org/W1486373823","https://openalex.org/W2238883956","https://openalex.org/W1437816530","https://openalex.org/W2553624996"],"abstract_inverted_index":{"In":[0],"this":[1,51],"paper":[2],"we":[3],"present":[4],"an":[5],"arbitrary-order":[6],"fully":[7,18],"discrete":[8,19],"Stokes":[9,64,79,124],"complex":[10,22,65],"on":[11,32,47],"general":[12],"polyhedral":[13],"meshes.":[14],"We":[15,40,112],"enrich":[16],"the":[17,24,38,48,78,89,107,110,115,123,128],"de":[20],"Rham":[21],"with":[23,114,131],"addition":[25],"of":[26,45,50,93,109,119],"a":[27,42,120],"full":[28],"gradient":[29],"operator":[30],"defined":[31],"vector":[33],"fields":[34],"and":[35,58,60,75,91,104,117,126],"fitting":[36],"into":[37],"complex.":[39,111],"show":[41],"complete":[43],"set":[44],"results":[46],"novelties":[49],"complex:":[52],"exactness":[53,108],"properties,":[54],"uniform":[55],"Poincar\u00e9":[56],"inequalities":[57],"primal":[59],"adjoint":[61],"consistency.":[62],"The":[63,84],"is":[66],"especially":[67],"well":[68],"suited":[69],"for":[70,95],"problem":[71,80],"involving":[72],"Jacobian,":[73],"divergence":[74],"curl,":[76],"like":[77],"or":[81],"magnetohydrodynamic":[82],"systems.":[83],"framework":[85],"developed":[86],"here":[87],"eases":[88],"design":[90,116],"analysis":[92],"schemes":[94],"such":[96],"problems.":[97],"Schemes":[98],"built":[99],"that":[100],"way":[101],"are":[102],"nonconforming":[103],"benefit":[105],"from":[106],"illustrate":[113],"study":[118],"scheme":[121],"solving":[122],"equations":[125],"validate":[127],"convergence":[129],"rates":[130],"various":[132],"numerical":[133],"tests.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}