{"id":"https://openalex.org/W4384008261","doi":"https://doi.org/10.1137/22m1541472","title":"A Local Discontinuous Galerkin Approximation for the \\(\\boldsymbol{p}\\) -Navier\u2013Stokes System, Part III: Convergence Rates for the Pressure","display_name":"A Local Discontinuous Galerkin Approximation for the \\(\\boldsymbol{p}\\) -Navier\u2013Stokes System, Part III: Convergence Rates for the Pressure","publication_year":2023,"publication_date":"2023-07-12","ids":{"openalex":"https://openalex.org/W4384008261","doi":"https://doi.org/10.1137/22m1541472"},"language":"en","primary_location":{"id":"doi:10.1137/22m1541472","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1541472","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/A5071740124","display_name":"Alex Kaltenbach","orcid":"https://orcid.org/0000-0001-6478-7963"},"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"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Alex Kaltenbach","raw_affiliation_strings":["Department of Applied Mathematics, Albert-Ludwigs\u2013University Freiburg, 79104, Germany"],"raw_orcid":"https://orcid.org/0000-0001-6478-7963","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Albert-Ludwigs\u2013University Freiburg, 79104, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027944157","display_name":"Michael R\u016f\u017ei\u010dka","orcid":"https://orcid.org/0000-0001-8497-1864"},"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"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael R\u016f\u017ei\u010dka","raw_affiliation_strings":["Department of Applied Mathematics, Albert-Ludwigs\u2013University Freiburg, 79104, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8497-1864","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Albert-Ludwigs\u2013University Freiburg, 79104, Germany","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071740124"],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":null,"apc_paid":null,"fwci":1.0353,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71155157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"61","issue":"4","first_page":"1763","last_page":"1782"},"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":0.9988999962806702,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9984999895095825,"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":0.82940673828125},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6282857656478882},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6281795501708984},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6191533207893372},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6183857917785645},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.521876871585846},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5111621022224426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5079911351203918},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4721037447452545},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1974654197692871},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12732619047164917},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.11986586451530457},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09387752413749695},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.04322552680969238}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.82940673828125},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6282857656478882},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6281795501708984},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6191533207893372},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6183857917785645},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.521876871585846},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5111621022224426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5079911351203918},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4721037447452545},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1974654197692871},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12732619047164917},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.11986586451530457},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09387752413749695},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.04322552680969238},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1541472","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1541472","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W628726389","https://openalex.org/W1565064279","https://openalex.org/W1964524533","https://openalex.org/W1967908619","https://openalex.org/W2008192231","https://openalex.org/W2053167998","https://openalex.org/W2058256448","https://openalex.org/W2070299075","https://openalex.org/W2072741826","https://openalex.org/W2089773056","https://openalex.org/W2091486840","https://openalex.org/W2102844628","https://openalex.org/W2128095813","https://openalex.org/W2488720998","https://openalex.org/W2750972839","https://openalex.org/W2945481315","https://openalex.org/W3013208380","https://openalex.org/W3113919540","https://openalex.org/W3149667697","https://openalex.org/W3198079960","https://openalex.org/W3204708751","https://openalex.org/W4360824246","https://openalex.org/W4383815299","https://openalex.org/W4383822767"],"related_works":["https://openalex.org/W2795291528","https://openalex.org/W4297674563","https://openalex.org/W2330331365","https://openalex.org/W2154720964","https://openalex.org/W3039935530","https://openalex.org/W4383822767","https://openalex.org/W2154417706","https://openalex.org/W2971074505","https://openalex.org/W2612576309","https://openalex.org/W4320498239"],"abstract_inverted_index":{".In":[0],"the":[1,9,12,22],"present":[2],"paper,":[3],"we":[4],"prove":[5],"convergence":[6],"rates":[7],"for":[8],"pressure":[10],"of":[11,21,37,39],"local":[13],"discontinuous":[14],"Galerkin":[15,59],"approximation,":[16],"proposed":[17],"in":[18],"Part":[19],"I":[20],"paper":[23],"[A.":[24],"Kaltenbach":[25],"and":[26,43],"M.":[27],"R\u016f\u017ei\u010dka,":[28],"SIAM":[29],"J.":[30],"Numer.":[31],"Anal.,":[32],"61":[33],"(2023),":[34],"pp.":[35],"1613\u20131640],":[36],"systems":[38],"\\(p\\)":[40,44,60],"-Navier-Stokes":[41,61],"type":[42,46],"-Stokes":[45],"with":[47],"\\(p\\in":[48],"(2,\\infty":[49],")\\)":[50],".":[51],"The":[52],"results":[53],"are":[54],"supported":[55],"by":[56],"numerical":[57],"experiments.Keywordsdiscontinuous":[58],"systemerror":[62],"boundspressureMSC":[63],"codes76A0535Q3565N3065N1265N15":[64]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
