{"id":"https://openalex.org/W2086382493","doi":"https://doi.org/10.1515/cmam-2014-0010","title":"A Posteriori Error Bounds for Approximations of the Oseen Problem and Applications tothe Uzawa Iteration Algorithm","display_name":"A Posteriori Error Bounds for Approximations of the Oseen Problem and Applications tothe Uzawa Iteration Algorithm","publication_year":2014,"publication_date":"2014-04-24","ids":{"openalex":"https://openalex.org/W2086382493","doi":"https://doi.org/10.1515/cmam-2014-0010","mag":"2086382493"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2014-0010","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2014-0010","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2014-0010/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":null,"license_id":null,"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":"bronze","oa_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2014-0010/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071584042","display_name":"Marjaana Nokka","orcid":null},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Marjaana Nokka","raw_affiliation_strings":["Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, FI-40014 University of Jyv\u00e4skyl\u00e4, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, FI-40014 University of Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113979788","display_name":"Sergey Repin","orcid":null},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI","RU"],"is_corresponding":false,"raw_author_name":"Sergey Repin","raw_affiliation_strings":["University of Jyv\u00e4skyl\u00e4, Finland; and St. Petersburg Department of Steklov Institute, Russian Academy of Sciences, Fontanka 27, 191023 St. Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Jyv\u00e4skyl\u00e4, Finland; and St. Petersburg Department of Steklov Institute, Russian Academy of Sciences, Fontanka 27, 191023 St. Petersburg, Russia","institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I94722563"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071584042"],"corresponding_institution_ids":["https://openalex.org/I94722563"],"apc_list":null,"apc_paid":null,"fwci":0.2688,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67623134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"3","first_page":"373","last_page":"383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9868999719619751,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8353634476661682},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7727168202400208},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6828325986862183},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.6211365461349487},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6019893884658813},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.5984391570091248},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4830839931964874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4425675570964813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38988789916038513},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2517883777618408}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8353634476661682},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7727168202400208},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6828325986862183},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.6211365461349487},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6019893884658813},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.5984391570091248},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4830839931964874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4425675570964813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38988789916038513},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2517883777618408},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/cmam-2014-0010","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2014-0010","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2014-0010/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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:jyx.jyu.fi:123456789/44279","is_oa":false,"landing_page_url":"http://urn.fi/URN:NBN:fi:jyu-201409182814","pdf_url":null,"source":{"id":"https://openalex.org/S4306400563","display_name":"Jyv\u00e4skyl\u00e4 University Digital Archive (University of Jyv\u00e4skyl\u00e4)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I94722563","host_organization_name":"University of Jyv\u00e4skyl\u00e4","host_organization_lineage":["https://openalex.org/I94722563"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"research article"}],"best_oa_location":{"id":"doi:10.1515/cmam-2014-0010","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2014-0010","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2014-0010/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":null,"license_id":null,"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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2086382493.pdf","grobid_xml":"https://content.openalex.org/works/W2086382493.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W44201522","https://openalex.org/W599756203","https://openalex.org/W1708679080","https://openalex.org/W1967638198","https://openalex.org/W1991456462","https://openalex.org/W2046021050","https://openalex.org/W2076582418","https://openalex.org/W2094574651","https://openalex.org/W2104871059","https://openalex.org/W2141870784","https://openalex.org/W6602644770","https://openalex.org/W6604267356","https://openalex.org/W6631441180"],"related_works":["https://openalex.org/W37066597","https://openalex.org/W25733641","https://openalex.org/W1977553163","https://openalex.org/W1993570899","https://openalex.org/W188298612","https://openalex.org/W1555094802","https://openalex.org/W3128822846","https://openalex.org/W4230197975","https://openalex.org/W2028070877","https://openalex.org/W2046814020"],"abstract_inverted_index":{"Abstract.":[0],"We":[1],"derive":[2,29],"computable":[3],"bounds":[4],"of":[5,11,33,46,56,70],"deviations":[6],"from":[7],"the":[8,12,23,34,47,53,57,71],"exact":[9],"solution":[10],"stationary":[13],"Oseen":[14],"problem.":[15],"They":[16],"are":[17],"applied":[18],"to":[19,44],"approximations":[20],"generated":[21,51],"by":[22,52],"Uzawa":[24,58],"iteration":[25],"method.":[26,59],"Also,":[27],"we":[28],"an":[30],"advanced":[31],"form":[32],"estimate,":[35],"which":[36],"takes":[37],"into":[38],"account":[39],"approximation":[40],"errors":[41],"arising":[42],"due":[43],"discretization":[45],"boundary":[48],"value":[49],"problem,":[50],"main":[54],"step":[55],"Numerical":[60],"tests":[61],"confirm":[62],"our":[63],"theoretical":[64],"results":[65],"and":[66],"show":[67],"practical":[68],"applicability":[69],"estimates.":[72]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
