{"id":"https://openalex.org/W2095539128","doi":"https://doi.org/10.1007/s002110050401","title":"A penalization method to take into account obstacles in incompressible viscous flows","display_name":"A penalization method to take into account obstacles in incompressible viscous flows","publication_year":1999,"publication_date":"1999-02-01","ids":{"openalex":"https://openalex.org/W2095539128","doi":"https://doi.org/10.1007/s002110050401","mag":"2095539128"},"language":"en","primary_location":{"id":"doi:10.1007/s002110050401","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110050401","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001469049","display_name":"Philippe Angot","orcid":"https://orcid.org/0000-0001-7535-0492"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210116669","display_name":"Ch\u00e2teau Gombert","ror":"https://ror.org/02kspbq18","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210116669"]},{"id":"https://openalex.org/I4210142713","display_name":"Institut de Recherche sur les Ph\u00e9nom\u00e8nes Hors \u00c9quilibre","ror":"https://ror.org/03zq0xc17","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210095849","https://openalex.org/I4210142713","https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Philippe Angot","raw_affiliation_strings":["IRPHE, CNRS UMR 6594, Equipe Math\u00e9matiques Num\u00e9riques pour la Mod\u00e9lisation, La Jet\u00e9e \u2013 Technop\u00f4le de Ch\u00e2teau-Gombert, F-13451 Marseille, France\n, , , , , , FR","IRPHE, CNRS UMR 6594, Equipe Math\u00e9matiques Num\u00e9riques pour la Mod\u00e9lisation, La Jet\u00e9e \u2013 Technop\u00f4le de Ch\u00e2teau-Gombert, F-13451 Marseille, France#N#, , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRPHE, CNRS UMR 6594, Equipe Math\u00e9matiques Num\u00e9riques pour la Mod\u00e9lisation, La Jet\u00e9e \u2013 Technop\u00f4le de Ch\u00e2teau-Gombert, F-13451 Marseille, France\n, , , , , , FR","institution_ids":["https://openalex.org/I4210142713","https://openalex.org/I4210116669","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRPHE, CNRS UMR 6594, Equipe Math\u00e9matiques Num\u00e9riques pour la Mod\u00e9lisation, La Jet\u00e9e \u2013 Technop\u00f4le de Ch\u00e2teau-Gombert, F-13451 Marseille, France#N#, , FR","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107340261","display_name":"Charles\u2010Henri Bruneau","orcid":"https://orcid.org/0000-0002-8055-0875"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Charles-Henri Bruneau","raw_affiliation_strings":["Math\u00e9matiques Appliqu\u00e9es de Bordeaux, CNRS et Universit\u00e9 Bordeaux 1, 351, cours de la Lib\u00e9ration, F-33405 Talence, France\n, , , , , , FR","Math\u00e9matiques Appliqu\u00e9es de Bordeaux, CNRS et Universit\u00e9 Bordeaux 1, 351, cours de la Lib\u00e9ration, F-33405 Talence, France , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Math\u00e9matiques Appliqu\u00e9es de Bordeaux, CNRS et Universit\u00e9 Bordeaux 1, 351, cours de la Lib\u00e9ration, F-33405 Talence, France\n, , , , , , FR","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Math\u00e9matiques Appliqu\u00e9es de Bordeaux, CNRS et Universit\u00e9 Bordeaux 1, 351, cours de la Lib\u00e9ration, F-33405 Talence, France , FR","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034991311","display_name":"Pierre Fabrie","orcid":null},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Fabrie","raw_affiliation_strings":["Math\u00e9matiques Appliqu\u00e9es de Bordeaux, CNRS et Universit\u00e9 Bordeaux 1, 351, cours de la Lib\u00e9ration, F-33405 Talence, France\n, , , , , , FR","Math\u00e9matiques Appliqu\u00e9es de Bordeaux, CNRS et Universit\u00e9 Bordeaux 1, 351, cours de la Lib\u00e9ration, F-33405 Talence, France , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Math\u00e9matiques Appliqu\u00e9es de Bordeaux, CNRS et Universit\u00e9 Bordeaux 1, 351, cours de la Lib\u00e9ration, F-33405 Talence, France\n, , , , , , FR","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Math\u00e9matiques Appliqu\u00e9es de Bordeaux, CNRS et Universit\u00e9 Bordeaux 1, 351, cours de la Lib\u00e9ration, F-33405 Talence, France , FR","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001469049"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210116669","https://openalex.org/I4210142713"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":8.5448,"has_fulltext":false,"cited_by_count":807,"citation_normalized_percentile":{"value":0.98286769,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"81","issue":"4","first_page":"497","last_page":"520"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.998199999332428,"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":0.8200064897537231},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.7000253796577454},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6459530591964722},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5505604147911072},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5355375409126282},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4668740928173065},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4335530400276184},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.12859010696411133},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08589696884155273}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8200064897537231},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7000253796577454},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6459530591964722},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5505604147911072},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5355375409126282},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4668740928173065},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4335530400276184},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.12859010696411133},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08589696884155273},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s002110050401","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110050401","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1240171986","https://openalex.org/W1624766891","https://openalex.org/W2040291985","https://openalex.org/W2060421236","https://openalex.org/W2063701273","https://openalex.org/W2095006601","https://openalex.org/W2165518362","https://openalex.org/W2167884129","https://openalex.org/W2518894897","https://openalex.org/W2946648738","https://openalex.org/W3091814460","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2012983134","https://openalex.org/W4388599312","https://openalex.org/W2053355289","https://openalex.org/W2368811332","https://openalex.org/W4205276374","https://openalex.org/W2090218458","https://openalex.org/W2390251251","https://openalex.org/W1972617237","https://openalex.org/W1972946241","https://openalex.org/W4285308861"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":16},{"year":2025,"cited_by_count":31},{"year":2024,"cited_by_count":50},{"year":2023,"cited_by_count":36},{"year":2022,"cited_by_count":47},{"year":2021,"cited_by_count":60},{"year":2020,"cited_by_count":57},{"year":2019,"cited_by_count":36},{"year":2018,"cited_by_count":38},{"year":2017,"cited_by_count":39},{"year":2016,"cited_by_count":36},{"year":2015,"cited_by_count":38},{"year":2014,"cited_by_count":49},{"year":2013,"cited_by_count":33},{"year":2012,"cited_by_count":36}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}