{"id":"https://openalex.org/W4400926346","doi":"https://doi.org/10.1137/23m1607398","title":"Finite Element Discretization of the Steady, Generalized Navier\u2013Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions","display_name":"Finite Element Discretization of the Steady, Generalized Navier\u2013Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions","publication_year":2024,"publication_date":"2024-07-23","ids":{"openalex":"https://openalex.org/W4400926346","doi":"https://doi.org/10.1137/23m1607398"},"language":"en","primary_location":{"id":"doi:10.1137/23m1607398","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1607398","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/A5069072231","display_name":"Julius Je\u00dfberger","orcid":"https://orcid.org/0000-0002-7910-1175"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]},{"id":"https://openalex.org/I4210139880","display_name":"Protestant University of Applied Sciences Freiburg","ror":"https://ror.org/03w3a0h43","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210139880"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Julius Je\u00dfberger","raw_affiliation_strings":["Department of Applied Mathematics, University of Freiburg, Ernst\u2013Zermelo-Stra\u00dfe 1, D-79104 Freiburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Freiburg, Ernst\u2013Zermelo-Stra\u00dfe 1, D-79104 Freiburg, Germany","institution_ids":["https://openalex.org/I4210139880","https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071740124","display_name":"Alex Kaltenbach","orcid":"https://orcid.org/0000-0001-6478-7963"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alex Kaltenbach","raw_affiliation_strings":["Institute of Mathematics, Technical University of Berlin, Stra\u00dfe des 17. Juni, 135, 10623, Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0001-6478-7963","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Technical University of Berlin, Stra\u00dfe des 17. Juni, 135, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069072231"],"corresponding_institution_ids":["https://openalex.org/I161046081","https://openalex.org/I4210139880"],"apc_list":null,"apc_paid":null,"fwci":0.7166,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64758331,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"62","issue":"4","first_page":"1660","last_page":"1686"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991999864578247,"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":0.9970999956130981,"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":0.8357366323471069},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7569916248321533},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.636329710483551},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.5820508003234863},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.5795431137084961},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5597847700119019},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5572632551193237},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.48858532309532166},{"id":"https://openalex.org/keywords/dirichlet-conditions","display_name":"Dirichlet conditions","score":0.4190846085548401},{"id":"https://openalex.org/keywords/dirichlets-principle","display_name":"Dirichlet's principle","score":0.1923450529575348},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12058520317077637},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1189153790473938},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.10143238306045532}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8357366323471069},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7569916248321533},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.636329710483551},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5820508003234863},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.5795431137084961},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5597847700119019},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5572632551193237},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.48858532309532166},{"id":"https://openalex.org/C103302479","wikidata":"https://www.wikidata.org/wiki/Q1227685","display_name":"Dirichlet conditions","level":5,"score":0.4190846085548401},{"id":"https://openalex.org/C148158259","wikidata":"https://www.wikidata.org/wiki/Q975727","display_name":"Dirichlet's principle","level":4,"score":0.1923450529575348},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12058520317077637},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1189153790473938},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.10143238306045532},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1607398","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1607398","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"},{"id":"pmh:oai:freidok.uni-freiburg.de:264440","is_oa":false,"landing_page_url":"https://freidok.uni-freiburg.de/data/264440","pdf_url":null,"source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"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 numerical analysis. - 62, 4 (2024) , 1660-1686, ISSN: 1095-7170","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3979513768","display_name":null,"funder_award_id":"525389262","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W592911714","https://openalex.org/W1504810697","https://openalex.org/W1964524533","https://openalex.org/W1972683041","https://openalex.org/W1975957729","https://openalex.org/W2002193880","https://openalex.org/W2008192231","https://openalex.org/W2009985306","https://openalex.org/W2011188667","https://openalex.org/W2034516611","https://openalex.org/W2049914863","https://openalex.org/W2051112136","https://openalex.org/W2056712709","https://openalex.org/W2061988259","https://openalex.org/W2070299075","https://openalex.org/W2077186677","https://openalex.org/W2081472019","https://openalex.org/W2089773056","https://openalex.org/W2092890921","https://openalex.org/W2099936591","https://openalex.org/W2102844628","https://openalex.org/W2108049398","https://openalex.org/W2128095813","https://openalex.org/W2146785120","https://openalex.org/W2149921380","https://openalex.org/W2313329223","https://openalex.org/W2750972839","https://openalex.org/W2962734697","https://openalex.org/W3195346104","https://openalex.org/W3204708751","https://openalex.org/W4205725157","https://openalex.org/W4205815276","https://openalex.org/W4206817484","https://openalex.org/W4252104256","https://openalex.org/W4292024663","https://openalex.org/W4383815299","https://openalex.org/W4383822767","https://openalex.org/W4384008261"],"related_works":["https://openalex.org/W2059881961","https://openalex.org/W2187142289","https://openalex.org/W4298826845","https://openalex.org/W4289763032","https://openalex.org/W591194488","https://openalex.org/W1665977449","https://openalex.org/W2950119351","https://openalex.org/W2808363341","https://openalex.org/W4312830777","https://openalex.org/W2041607840"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}