{"id":"https://openalex.org/W4307210456","doi":"https://doi.org/10.1007/s10915-023-02385-1","title":"Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities","display_name":"Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities","publication_year":2023,"publication_date":"2023-11-01","ids":{"openalex":"https://openalex.org/W4307210456","doi":"https://doi.org/10.1007/s10915-023-02385-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-023-02385-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02385-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03825658/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103257701","display_name":"Christophe Berthon","orcid":"https://orcid.org/0000-0003-3999-3479"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210153365","display_name":"Laboratoire de Math\u00e9matiques Jean Leray","ror":"https://ror.org/04g1hjn96","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210153365","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I97188460","display_name":"Nantes Universit\u00e9","ror":"https://ror.org/03gnr7b55","country_code":"FR","type":"education","lineage":["https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Berthon","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Jean Leray, CNRS UMR 6629, Universit\u00e9 de Nantes, 2 rue de la Houssini\u00e8re, BP 92208, 44322, Nantes, France","Laboratoire de Math\u00e9matiques Jean Leray, CNRS UMR 6629, Universit\u00e9 de Nantes, Nantes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Jean Leray, CNRS UMR 6629, Universit\u00e9 de Nantes, 2 rue de la Houssini\u00e8re, BP 92208, 44322, Nantes, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210153365","https://openalex.org/I97188460"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Jean Leray, CNRS UMR 6629, Universit\u00e9 de Nantes, Nantes, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210153365","https://openalex.org/I97188460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005054247","display_name":"Manuel J. Castro","orcid":"https://orcid.org/0000-0003-3164-7715"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Manuel J. Castro D\u00edaz","raw_affiliation_strings":["Departamento de An\u00e1lisis Matem\u00e1tico, Estad\u00edstica e Investigaci\u00f3n Operativa, y Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Campus de Teatinos s/n, 29080, M\u00e1laga, Spain","Departamento de An\u00e1lisis Matem\u00e1tico, Estad\u00edstica e Investigaci\u00f3n Operativa, y Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, M\u00e1laga, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de An\u00e1lisis Matem\u00e1tico, Estad\u00edstica e Investigaci\u00f3n Operativa, y Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Campus de Teatinos s/n, 29080, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]},{"raw_affiliation_string":"Departamento de An\u00e1lisis Matem\u00e1tico, Estad\u00edstica e Investigaci\u00f3n Operativa, y Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007418515","display_name":"Arnaud Duran","orcid":null},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Lyon 1 Universit\u00e9","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210104796","display_name":"Institut Camille Jordan","ror":"https://ror.org/01ekw7f87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210104796","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Arnaud Duran","raw_affiliation_strings":["Institut Camille Jordan, CNRS UMR 5208, Universit\u00e9 Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, 69622, Villeurbanne Cedex, France","Institut Camille Jordan, CNRS UMR 5208, Universit\u00e9 Claude Bernard Lyon 1, Villeurbanne Cedex, France","ICJ - Institut Camille Jordan (B\u00e2t. Jean Braconnier 43 bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX - France)","MMCS - Mod\u00e9lisation math\u00e9matique, calcul scientifique (Institut Camille Jordan\r\nVilleurbane - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Camille Jordan, CNRS UMR 5208, Universit\u00e9 Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, 69622, Villeurbanne Cedex, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210104796"]},{"raw_affiliation_string":"Institut Camille Jordan, CNRS UMR 5208, Universit\u00e9 Claude Bernard Lyon 1, Villeurbanne Cedex, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210104796"]},{"raw_affiliation_string":"ICJ - Institut Camille Jordan (B\u00e2t. Jean Braconnier 43 bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX - France)","institution_ids":["https://openalex.org/I4210104796"]},{"raw_affiliation_string":"MMCS - Mod\u00e9lisation math\u00e9matique, calcul scientifique (Institut Camille Jordan\r\nVilleurbane - France)","institution_ids":["https://openalex.org/I4210104796"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024568520","display_name":"T. Morales de Luna","orcid":"https://orcid.org/0000-0001-7162-9672"},"institutions":[{"id":"https://openalex.org/I53110688","display_name":"University of C\u00f3rdoba","ror":"https://ror.org/05yc77b46","country_code":"ES","type":"education","lineage":["https://openalex.org/I53110688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Tom\u00e1s Morales de Luna","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad de C\u00f3rdoba, Campus de Rabanales, 14071, C\u00f3rdoba, Spain","Departamento de Matem\u00e1ticas, Universidad de C\u00f3rdoba, C\u00f3rdoba, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad de C\u00f3rdoba, Campus de Rabanales, 14071, C\u00f3rdoba, Spain","institution_ids":["https://openalex.org/I53110688"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad de C\u00f3rdoba, C\u00f3rdoba, Spain","institution_ids":["https://openalex.org/I53110688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090193033","display_name":"Khaled J. Saleh","orcid":"https://orcid.org/0000-0002-7734-1933"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Lyon 1 Universit\u00e9","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210104796","display_name":"Institut Camille Jordan","ror":"https://ror.org/01ekw7f87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210104796","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Khaled Saleh","raw_affiliation_strings":["Institut Camille Jordan, CNRS UMR 5208, Universit\u00e9 Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, 69622, Villeurbanne Cedex, France","Institut Camille Jordan, CNRS UMR 5208, Universit\u00e9 Claude Bernard Lyon 1, Villeurbanne Cedex, France","ICJ - Institut Camille Jordan (B\u00e2t. Jean Braconnier 43 bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX - France)","MMCS - Mod\u00e9lisation math\u00e9matique, calcul scientifique (Institut Camille Jordan\r\nVilleurbane - France)","UCBL - Universit\u00e9 Claude Bernard Lyon 1 (43, boulevard du 11 novembre 1918, 69622 Villeurbanne cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Camille Jordan, CNRS UMR 5208, Universit\u00e9 Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, 69622, Villeurbanne Cedex, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210104796"]},{"raw_affiliation_string":"Institut Camille Jordan, CNRS UMR 5208, Universit\u00e9 Claude Bernard Lyon 1, Villeurbanne Cedex, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210104796"]},{"raw_affiliation_string":"ICJ - Institut Camille Jordan (B\u00e2t. Jean Braconnier 43 bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX - France)","institution_ids":["https://openalex.org/I4210104796"]},{"raw_affiliation_string":"MMCS - Mod\u00e9lisation math\u00e9matique, calcul scientifique (Institut Camille Jordan\r\nVilleurbane - France)","institution_ids":["https://openalex.org/I4210104796"]},{"raw_affiliation_string":"UCBL - Universit\u00e9 Claude Bernard Lyon 1 (43, boulevard du 11 novembre 1918, 69622 Villeurbanne cedex - France)","institution_ids":["https://openalex.org/I100532134"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5007418515"],"corresponding_institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210104796"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.8368,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.81759267,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"97","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9972000122070312,"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":0.9966999888420105,"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":0.8097659349441528},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.7345612049102783},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6432743072509766},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5483641028404236},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5005447864532471},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49501198530197144},{"id":"https://openalex.org/keywords/numerical-approximation","display_name":"Numerical approximation","score":0.429721474647522},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.42390769720077515},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35373836755752563},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.32434386014938354},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.14551201462745667},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10679206252098083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0763731598854065}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8097659349441528},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7345612049102783},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6432743072509766},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5483641028404236},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5005447864532471},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49501198530197144},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.429721474647522},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.42390769720077515},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35373836755752563},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.32434386014938354},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.14551201462745667},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10679206252098083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0763731598854065},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-023-02385-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02385-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03825658v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03825658","pdf_url":"https://hal.science/hal-03825658/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, 2023, 97 (3), pp.65. &#x27E8;10.1007/s10915-023-02385-1&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03825658v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03825658","pdf_url":"https://hal.science/hal-03825658/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, 2023, 97 (3), pp.65. &#x27E8;10.1007/s10915-023-02385-1&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5600000023841858,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1945528794","display_name":"Numerical boundaries and coupling","funder_award_id":"ANR-17-CE40-0025","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6803667113","display_name":null,"funder_award_id":"ANR-17","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4307210456.pdf"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W205360716","https://openalex.org/W1554134448","https://openalex.org/W1555627060","https://openalex.org/W1640391234","https://openalex.org/W1965812474","https://openalex.org/W1969760987","https://openalex.org/W1970212576","https://openalex.org/W1971166309","https://openalex.org/W1971770117","https://openalex.org/W1980210033","https://openalex.org/W1982236257","https://openalex.org/W1983883036","https://openalex.org/W1990596161","https://openalex.org/W1998887941","https://openalex.org/W2008179816","https://openalex.org/W2011525140","https://openalex.org/W2024361440","https://openalex.org/W2026388260","https://openalex.org/W2027710416","https://openalex.org/W2031801811","https://openalex.org/W2033130870","https://openalex.org/W2033197745","https://openalex.org/W2046426940","https://openalex.org/W2050738224","https://openalex.org/W2051419690","https://openalex.org/W2055793237","https://openalex.org/W2057879481","https://openalex.org/W2060976754","https://openalex.org/W2061726168","https://openalex.org/W2062389073","https://openalex.org/W2072064860","https://openalex.org/W2072226973","https://openalex.org/W2073054365","https://openalex.org/W2078498124","https://openalex.org/W2083072109","https://openalex.org/W2133314152","https://openalex.org/W2134509116","https://openalex.org/W2136592480","https://openalex.org/W2138937878","https://openalex.org/W2143893982","https://openalex.org/W2144122525","https://openalex.org/W2148195085","https://openalex.org/W2321308174","https://openalex.org/W2460390310","https://openalex.org/W2476432869","https://openalex.org/W2478955545","https://openalex.org/W2482838170","https://openalex.org/W2496222347","https://openalex.org/W2501042858","https://openalex.org/W2557095760","https://openalex.org/W2561525048","https://openalex.org/W2591937896","https://openalex.org/W2594075286","https://openalex.org/W2768176009","https://openalex.org/W2943894643","https://openalex.org/W2964126157","https://openalex.org/W2964266246","https://openalex.org/W2982504357","https://openalex.org/W3014284129","https://openalex.org/W3014819408","https://openalex.org/W3157637942","https://openalex.org/W4206139584","https://openalex.org/W4206412600","https://openalex.org/W4206447028","https://openalex.org/W4206462459","https://openalex.org/W4232258220","https://openalex.org/W4235926700","https://openalex.org/W4242340130","https://openalex.org/W4245037559","https://openalex.org/W4250741917"],"related_works":["https://openalex.org/W2948931127","https://openalex.org/W4288335771","https://openalex.org/W1997932535","https://openalex.org/W2010049312","https://openalex.org/W1970786191","https://openalex.org/W4402809589","https://openalex.org/W2963771406","https://openalex.org/W2152819099","https://openalex.org/W2023399328","https://openalex.org/W2162623007"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
