{"id":"https://openalex.org/W1970642068","doi":"https://doi.org/10.1155/2012/251908","title":"The Optimal <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=\"normal\">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem","display_name":"The Optimal <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=\"normal\">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem","publication_year":2012,"publication_date":"2012-11-11","ids":{"openalex":"https://openalex.org/W1970642068","doi":"https://doi.org/10.1155/2012/251908","mag":"1970642068"},"language":"lv","primary_location":{"id":"doi:10.1155/2012/251908","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/251908","pdf_url":"https://downloads.hindawi.com/archive/2012/251908.pdf","source":{"id":"https://openalex.org/S120697665","display_name":"Advances in Numerical Analysis","issn_l":"1687-9562","issn":["1687-9562","1687-9570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/archive/2012/251908.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031706589","display_name":"Guoliang He","orcid":"https://orcid.org/0000-0003-2612-5023"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoliang He","raw_affiliation_strings":["School of Mathematical Science, University of Electronic Science and Technology, Chengdu 610054, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, University of Electronic Science and Technology, Chengdu 610054, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060011552","display_name":"Jian Su","orcid":"https://orcid.org/0000-0001-7853-1088"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Su","raw_affiliation_strings":["Faculty of Science, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072710582","display_name":"Wenqiang Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenqiang Dai","raw_affiliation_strings":["School of Management, University of Electronic Science and Technology, Chengdu 610054, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management, University of Electronic Science and Technology, Chengdu 610054, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031706589"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06072011,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"17"},"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":0.9994999766349792,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.993399977684021,"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/algorithm","display_name":"Algorithm","score":0.5929481387138367},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3462345004081726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3235667049884796}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5929481387138367},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3462345004081726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3235667049884796}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1155/2012/251908","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/251908","pdf_url":"https://downloads.hindawi.com/archive/2012/251908.pdf","source":{"id":"https://openalex.org/S120697665","display_name":"Advances in Numerical Analysis","issn_l":"1687-9562","issn":["1687-9562","1687-9570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1155/2012/251908","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/251908","pdf_url":"https://downloads.hindawi.com/archive/2012/251908.pdf","source":{"id":"https://openalex.org/S120697665","display_name":"Advances in Numerical Analysis","issn_l":"1687-9562","issn":["1687-9562","1687-9570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Numerical Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1499253587","display_name":null,"funder_award_id":"ZYGX2009J098","funder_id":"https://openalex.org/F4320323292","funder_display_name":"University of Electronic Science and Technology of China"},{"id":"https://openalex.org/G1568536479","display_name":null,"funder_award_id":"70901012","funder_id":"https://openalex.org/F4320323292","funder_display_name":"University of Electronic Science and Technology of China"},{"id":"https://openalex.org/G2221748211","display_name":"\u975e\u5b9a\u5e38Navier-Stokes\u65b9\u7a0b\u7684\u6709\u9650\u4f53\u79ef\u6cd5\u7814\u7a76","funder_award_id":"10926133","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2932667462","display_name":null,"funder_award_id":"7X0775","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3072488841","display_name":null,"funder_award_id":"60973015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3557312305","display_name":null,"funder_award_id":"60973015","funder_id":"https://openalex.org/F4320323292","funder_display_name":"University of Electronic Science and Technology of China"},{"id":"https://openalex.org/G4620942771","display_name":null,"funder_award_id":"70901012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5223076387","display_name":null,"funder_award_id":"10926133","funder_id":"https://openalex.org/F4320323292","funder_display_name":"University of Electronic Science and Technology of China"},{"id":"https://openalex.org/G5605327617","display_name":null,"funder_award_id":"ZYGX2009J098","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7051022352","display_name":null,"funder_award_id":"7X0775","funder_id":"https://openalex.org/F4320323292","funder_display_name":"University of Electronic Science and Technology of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323292","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1970642068.pdf","grobid_xml":"https://content.openalex.org/works/W1970642068.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1674659126","https://openalex.org/W1966158133","https://openalex.org/W1986407258","https://openalex.org/W1999807552","https://openalex.org/W2023963475","https://openalex.org/W2037004738","https://openalex.org/W2039077455","https://openalex.org/W2041523977","https://openalex.org/W2043882304","https://openalex.org/W2049873117","https://openalex.org/W2054629935","https://openalex.org/W2069902256","https://openalex.org/W2070441252","https://openalex.org/W2161374298","https://openalex.org/W4245322218","https://openalex.org/W4252104256","https://openalex.org/W4253412124"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"A":[0],"finite":[1,7,34],"volume":[2,35],"method":[3,65],"based":[4],"on":[5],"stabilized":[6],"element":[8],"for":[9,63],"the":[10,18,25,33,52,55,58],"two-dimensional":[11],"stationary":[12],"Navier-Stokes":[13],"equations":[14],"is":[15,66],"analyzed.":[16],"For":[17],"<mml:math":[19,27,37,41],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,28,38,42],"id=\"M2\"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mtext>\u2013</mml:mtext><mml:msub><mml:mi>P</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:math>":[21],"element,":[22],"we":[23],"obtain":[24],"optimal":[26],"id=\"M3\"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math>":[29],"error":[30],"estimates":[31],"of":[32,54,60],"solution":[36],"id=\"M4\"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi>h</mml:mi></mml:msub></mml:mrow></mml:math>":[39],"and":[40],"id=\"M5\"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi>h</mml:mi></mml:msub></mml:mrow></mml:math>.":[43],"We":[44],"also":[45],"provide":[46],"some":[47],"numerical":[48],"examples":[49],"to":[50],"confirm":[51],"efficiency":[53],"FVM.":[56],"Furthermore,":[57],"effect":[59],"initial":[61],"value":[62],"iterative":[64],"analyzed":[67],"carefully.":[68]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-22T06:23:43.705686","created_date":"2025-10-10T00:00:00"}