{"id":"https://openalex.org/W2042738975","doi":"https://doi.org/10.2478/cmam-2009-0024","title":"Some Remarks on Residual-based Stabilisation of Inf-sup Stable Discretisations of the Generalised Oseen Problem","display_name":"Some Remarks on Residual-based Stabilisation of Inf-sup Stable Discretisations of the Generalised Oseen Problem","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2042738975","doi":"https://doi.org/10.2478/cmam-2009-0024","mag":"2042738975"},"language":"en","primary_location":{"id":"doi:10.2478/cmam-2009-0024","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0024","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0024/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0024/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041040975","display_name":"Gunar Matthies","orcid":"https://orcid.org/0000-0002-9476-3740"},"institutions":[{"id":"https://openalex.org/I106157433","display_name":"University of Kassel","ror":"https://ror.org/04zc7p361","country_code":"DE","type":"education","lineage":["https://openalex.org/I106157433"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"G. Matthies","raw_affiliation_strings":["1Fachbereich Mathematik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1Fachbereich Mathematik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany","institution_ids":["https://openalex.org/I106157433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056878233","display_name":"N. I. Ionkin","orcid":null},"institutions":[{"id":"https://openalex.org/I106157433","display_name":"University of Kassel","ror":"https://ror.org/04zc7p361","country_code":"DE","type":"education","lineage":["https://openalex.org/I106157433"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nikolai I. Ionkin","raw_affiliation_strings":["1Fachbereich Mathematik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1Fachbereich Mathematik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany","institution_ids":["https://openalex.org/I106157433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089115290","display_name":"Gert Lube","orcid":"https://orcid.org/0000-0002-5259-5152"},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"G. Lube","raw_affiliation_strings":["2Institut f\u00fcr Numerische und Angewandte Mathematik, Georg-August-Universit\u00e4t G\u00f6ttingen, Lotzestrasse 16-18, 37083 G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"2Institut f\u00fcr Numerische und Angewandte Mathematik, Georg-August-Universit\u00e4t G\u00f6ttingen, Lotzestrasse 16-18, 37083 G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063831344","display_name":"Lars R\u00f6he","orcid":null},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"L. R\u00f6he","raw_affiliation_strings":["2Institut f\u00fcr Numerische und Angewandte Mathematik, Georg-August-Universit\u00e4t G\u00f6ttingen, Lotzestrasse 16-18, 37083 G\u00f6ttingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"2Institut f\u00fcr Numerische und Angewandte Mathematik, Georg-August-Universit\u00e4t G\u00f6ttingen, Lotzestrasse 16-18, 37083 G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5041040975"],"corresponding_institution_ids":["https://openalex.org/I106157433"],"apc_list":null,"apc_paid":null,"fwci":1.4256,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.81907462,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":"4","first_page":"368","last_page":"390"},"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":0.9983000159263611,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9923999905586243,"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.7270083427429199},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.7152769565582275},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6906102299690247},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6471762657165527},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6037472486495972},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5993882417678833},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5989821553230286},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5980582237243652},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42761728167533875},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32076314091682434},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20972105860710144},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20748528838157654},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18360906839370728},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18214645981788635},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.10782980918884277},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1066955029964447},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.06595167517662048}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7270083427429199},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.7152769565582275},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6906102299690247},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6471762657165527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6037472486495972},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5993882417678833},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5989821553230286},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5980582237243652},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42761728167533875},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32076314091682434},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20972105860710144},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20748528838157654},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18360906839370728},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18214645981788635},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.10782980918884277},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1066955029964447},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.06595167517662048},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2478/cmam-2009-0024","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0024","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0024/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:publications.goettingen-research-online.de:2/162835","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/94075","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"published_version"},{"id":"pmh:oai:goescholar:1/5998","is_oa":true,"landing_page_url":"http://resolver.sub.uni-goettingen.de/purl?gs-1/5998","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journalArticle"},{"id":"pmh:oai:publications.goettingen-research-online.de:2/61256","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gs-1/5998","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"published_version"}],"best_oa_location":{"id":"doi:10.2478/cmam-2009-0024","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2009-0024","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2009-0024/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2042738975.pdf","grobid_xml":"https://content.openalex.org/works/W2042738975.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1509925099","https://openalex.org/W1525538887","https://openalex.org/W1674659126","https://openalex.org/W1972100784","https://openalex.org/W1974461496","https://openalex.org/W1986608219","https://openalex.org/W1988674871","https://openalex.org/W1997442103","https://openalex.org/W1997538932","https://openalex.org/W2023754092","https://openalex.org/W2041523977","https://openalex.org/W2051112136","https://openalex.org/W2054034220","https://openalex.org/W2073897969","https://openalex.org/W2074772861","https://openalex.org/W2091156165","https://openalex.org/W2124268718","https://openalex.org/W2126454579","https://openalex.org/W2289366489","https://openalex.org/W4210300254","https://openalex.org/W4238437064","https://openalex.org/W4252104256","https://openalex.org/W6631567118","https://openalex.org/W6635896085","https://openalex.org/W6636093862"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2079401649","https://openalex.org/W4313703117","https://openalex.org/W1993738197","https://openalex.org/W2087496541","https://openalex.org/W2028455732","https://openalex.org/W2108615321","https://openalex.org/W2085564391","https://openalex.org/W1984758362"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2],"residual-based":[3],"stabilised":[4],"finite":[5],"element":[6],"methods":[7],"for":[8,28],"the":[9,39,46,53,57,75,105],"generalised":[10],"Oseen":[11],"problem.":[12],"The":[13,36,86],"unique":[14],"solvability":[15],"based":[16],"on":[17],"a":[18,62,70,89],"modified":[19],"stability":[20,72],"condition":[21],"and":[22,34,96],"an":[23,42],"error":[24],"estimate":[25],"are":[26],"proved":[27],"inf-sup":[29],"stable":[30],"discretisations":[31],"of":[32,41,45,56,74],"velocity":[33],"pressure.":[35],"analysis":[37,87],"highlights":[38],"role":[40],"additional":[43],"stabilisation":[44,54,77],"incompressibility":[47],"constraint.":[48],"It":[49],"turns":[50],"out":[51],"that":[52],"terms":[55],"streamline-diffusion":[58],"(SUPG)":[59],"type":[60],"play":[61],"less":[63],"important":[64],"role.":[65],"In":[66],"particular,":[67],"there":[68],"exists":[69],"conditional":[71],"problem":[73,81],"SUPG":[76],"if":[78],"two":[79],"relevant":[80],"parameters":[82],"tend":[83],"to":[84,92,97],"zero.":[85],"extends":[88],"recent":[90],"result":[91],"general":[93],"shape-regular":[94],"meshes":[95],"discontinuous":[98],"pressure":[99],"interpolation.":[100],"Some":[101],"numerical":[102],"observations":[103],"support":[104],"theoretical":[106],"results.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-13T08:25:38.343686","created_date":"2025-10-10T00:00:00"}
