{"id":"https://openalex.org/W2473931419","doi":"https://doi.org/10.1007/s00211-016-0811-4","title":"A conforming mixed finite element method for the Navier\u2013Stokes/Darcy coupled problem","display_name":"A conforming mixed finite element method for the Navier\u2013Stokes/Darcy coupled problem","publication_year":2016,"publication_date":"2016-06-02","ids":{"openalex":"https://openalex.org/W2473931419","doi":"https://doi.org/10.1007/s00211-016-0811-4","mag":"2473931419"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-016-0811-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0811-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.lboro.ac.uk/2134/21620","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026106703","display_name":"Marco Discacciati","orcid":"https://orcid.org/0000-0001-8343-8953"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Marco Discacciati","raw_affiliation_strings":["Department of Mathematical Sciences, Loughborough University, Epinal Way, Loughborough, LE11 3TU, UK"],"raw_orcid":"https://orcid.org/0000-0001-8343-8953","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Loughborough University, Epinal Way, Loughborough, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017852449","display_name":"Ricardo Oyarz\u00faa","orcid":"https://orcid.org/0000-0003-0536-4674"},"institutions":[{"id":"https://openalex.org/I172787465","display_name":"University of Concepci\u00f3n","ror":"https://ror.org/0460jpj73","country_code":"CL","type":"education","lineage":["https://openalex.org/I172787465"]},{"id":"https://openalex.org/I221450849","display_name":"University of B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38","country_code":"CL","type":"education","lineage":["https://openalex.org/I221450849"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Ricardo Oyarz\u00faa","raw_affiliation_strings":["CI\u00b2MA, Universidad de Concepci\u00f3n, Casilla 160-C, Concepci\u00f3n, Chile","GIMNAP-Departamento de Matem\u00e1tica, Universidad del B\u00edo-B\u00edo, Casilla 5-C, Concepci\u00f3n, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CI\u00b2MA, Universidad de Concepci\u00f3n, Casilla 160-C, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]},{"raw_affiliation_string":"GIMNAP-Departamento de Matem\u00e1tica, Universidad del B\u00edo-B\u00edo, Casilla 5-C, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I221450849"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017852449"],"corresponding_institution_ids":["https://openalex.org/I172787465","https://openalex.org/I221450849"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0862,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.90537514,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"135","issue":"2","first_page":"571","last_page":"606"},"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":1.0,"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":1.0,"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":0.9990000128746033,"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":0.9987999796867371,"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/mathematics","display_name":"Mathematics","score":0.784229040145874},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.7189140319824219},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6980513334274292},{"id":"https://openalex.org/keywords/darcys-law","display_name":"Darcy's law","score":0.6801767349243164},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6795362234115601},{"id":"https://openalex.org/keywords/darcy\u2013weisbach-equation","display_name":"Darcy\u2013Weisbach equation","score":0.5460205078125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5220717787742615},{"id":"https://openalex.org/keywords/conservation-of-mass","display_name":"Conservation of mass","score":0.4860011041164398},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.4790952503681183},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4691820442676544},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.443284809589386},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.4424280524253845},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.44164198637008667},{"id":"https://openalex.org/keywords/weak-formulation","display_name":"Weak formulation","score":0.41147178411483765},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.3347175121307373},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.3128710985183716},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2574617862701416},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18491250276565552},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.15149056911468506},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13744765520095825},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.10839670896530151},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07898834347724915}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.784229040145874},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.7189140319824219},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6980513334274292},{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.6801767349243164},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6795362234115601},{"id":"https://openalex.org/C181757486","wikidata":"https://www.wikidata.org/wiki/Q1142285","display_name":"Darcy\u2013Weisbach equation","level":4,"score":0.5460205078125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5220717787742615},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.4860011041164398},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.4790952503681183},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4691820442676544},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.443284809589386},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4424280524253845},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.44164198637008667},{"id":"https://openalex.org/C153919410","wikidata":"https://www.wikidata.org/wiki/Q9993851","display_name":"Weak formulation","level":3,"score":0.41147178411483765},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.3347175121307373},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.3128710985183716},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2574617862701416},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18491250276565552},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.15149056911468506},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13744765520095825},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.10839670896530151},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07898834347724915},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-016-0811-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0811-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:dspace.lboro.ac.uk:2134/21620","is_oa":true,"landing_page_url":"https://dspace.lboro.ac.uk/2134/21620","pdf_url":null,"source":{"id":"https://openalex.org/S4306401023","display_name":"Loughborough University Institutional Repository (Loughborough University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I143804889","host_organization_name":"Loughborough University","host_organization_lineage":["https://openalex.org/I143804889"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:figshare.com:article/9387707","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_conforming_mixed_finite_element_method_for_the_Navier_Stokes_Darcy_coupled_problem/9387707","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:dspace.lboro.ac.uk:2134/21620","is_oa":true,"landing_page_url":"https://dspace.lboro.ac.uk/2134/21620","pdf_url":null,"source":{"id":"https://openalex.org/S4306401023","display_name":"Loughborough University Institutional Repository (Loughborough University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I143804889","host_organization_name":"Loughborough University","host_organization_lineage":["https://openalex.org/I143804889"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[{"score":0.6100000143051147,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W46603733","https://openalex.org/W131637262","https://openalex.org/W333643410","https://openalex.org/W653136046","https://openalex.org/W1591169215","https://openalex.org/W1601728065","https://openalex.org/W1674659126","https://openalex.org/W1708679080","https://openalex.org/W1817465956","https://openalex.org/W1836408892","https://openalex.org/W1852082788","https://openalex.org/W1914522745","https://openalex.org/W1967011851","https://openalex.org/W1972683041","https://openalex.org/W1992274274","https://openalex.org/W2001118081","https://openalex.org/W2003603350","https://openalex.org/W2011966235","https://openalex.org/W2015396183","https://openalex.org/W2022790833","https://openalex.org/W2027509489","https://openalex.org/W2032806441","https://openalex.org/W2033610740","https://openalex.org/W2049716918","https://openalex.org/W2051314355","https://openalex.org/W2051917325","https://openalex.org/W2054058803","https://openalex.org/W2060237956","https://openalex.org/W2063449610","https://openalex.org/W2068259126","https://openalex.org/W2076582418","https://openalex.org/W2082187902","https://openalex.org/W2087891891","https://openalex.org/W2099150268","https://openalex.org/W2100969493","https://openalex.org/W2103143063","https://openalex.org/W2139540049","https://openalex.org/W2143783905","https://openalex.org/W2171584351","https://openalex.org/W2174851552","https://openalex.org/W2201669659","https://openalex.org/W2337124870","https://openalex.org/W2496521767","https://openalex.org/W2607483978","https://openalex.org/W2621072709","https://openalex.org/W2780852670","https://openalex.org/W3044432377","https://openalex.org/W3149667697","https://openalex.org/W4252104256","https://openalex.org/W4292079189"],"related_works":["https://openalex.org/W2035636887","https://openalex.org/W2379312570","https://openalex.org/W2965051447","https://openalex.org/W3186929630","https://openalex.org/W2035127243","https://openalex.org/W2966496118","https://openalex.org/W4293102502","https://openalex.org/W2963954778","https://openalex.org/W1595863715","https://openalex.org/W2473931419"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-24T08:33:08.758527","created_date":"2025-10-10T00:00:00"}
