{"id":"https://openalex.org/W2332668568","doi":"https://doi.org/10.1090/mcom/3108","title":"On the robustness of multiscale hybrid-mixed methods","display_name":"On the robustness of multiscale hybrid-mixed methods","publication_year":2015,"publication_date":"2015-10-07","ids":{"openalex":"https://openalex.org/W2332668568","doi":"https://doi.org/10.1090/mcom/3108","mag":"2332668568"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3108","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3108","pdf_url":"https://www.ams.org/mcom/2017-86-304/S0025-5718-2016-03108-7/S0025-5718-2016-03108-7.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2017-86-304/S0025-5718-2016-03108-7/S0025-5718-2016-03108-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011374809","display_name":"Diego Paredes","orcid":"https://orcid.org/0000-0003-2632-5682"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Diego Paredes","raw_affiliation_strings":["Instituto de Matem\u00c3\u00a1ticas, Pontificia Universidad Cat\u00c3\u00b3lica de Valpara\u00c3\u00adso - IMA/ PUCV, Chile","Instituto de Matematica [Valparaiso]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00c3\u00a1ticas, Pontificia Universidad Cat\u00c3\u00b3lica de Valpara\u00c3\u00adso - IMA/ PUCV, Chile","institution_ids":[]},{"raw_affiliation_string":"Instituto de Matematica [Valparaiso]","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059362886","display_name":"Fr\u00e9d\u00e9ric Valentin","orcid":"https://orcid.org/0000-0002-5056-7529"},"institutions":[{"id":"https://openalex.org/I4210142352","display_name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica","ror":"https://ror.org/0498ekt05","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210142352"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Valentin","raw_affiliation_strings":["Department of Computational and Applied Mathematics, National Laboratory for Scientific Computing - LNCC, Av. Get\u00c3\u00balio Vargas, 333, 25651-070 Petr\u00c3\u00b3polis - RJ, Brazil","Department of Computational and Applied Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational and Applied Mathematics, National Laboratory for Scientific Computing - LNCC, Av. Get\u00c3\u00balio Vargas, 333, 25651-070 Petr\u00c3\u00b3polis - RJ, Brazil","institution_ids":["https://openalex.org/I4210142352"]},{"raw_affiliation_string":"Department of Computational and Applied Mathematics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040138238","display_name":"Henrique Versieux","orcid":"https://orcid.org/0000-0001-9545-0271"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Henrique Versieux","raw_affiliation_strings":["Instituto de Matem\u00c3\u00a1tica, Universidade Federal do Rio de Janeiro - UFRJ, Rio de Janeiro - RJ, Brazil","Instituto de Matem\u00e1tica da Universidade Federal do Rio de Janeiro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00c3\u00a1tica, Universidade Federal do Rio de Janeiro - UFRJ, Rio de Janeiro - RJ, Brazil","institution_ids":["https://openalex.org/I122140584"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica da Universidade Federal do Rio de Janeiro","institution_ids":["https://openalex.org/I122140584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7646,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.86548331,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"86","issue":"304","first_page":"525","last_page":"548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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/T11558","display_name":"Composite Material Mechanics","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.866913914680481},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6018785238265991},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.5938924551010132},{"id":"https://openalex.org/keywords/oversampling","display_name":"Oversampling","score":0.5283494591712952},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.4766950309276581},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4763622283935547},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.46777263283729553},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.453359454870224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44321584701538086},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.42489922046661377},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4240674674510956},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.4228348731994629},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3916047513484955},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32926133275032043},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.067233145236969}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.866913914680481},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6018785238265991},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.5938924551010132},{"id":"https://openalex.org/C197323446","wikidata":"https://www.wikidata.org/wiki/Q331222","display_name":"Oversampling","level":3,"score":0.5283494591712952},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.4766950309276581},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4763622283935547},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.46777263283729553},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.453359454870224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44321584701538086},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.42489922046661377},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4240674674510956},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4228348731994629},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3916047513484955},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32926133275032043},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.067233145236969},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.0},{"id":"https://openalex.org/C46362747","wikidata":"https://www.wikidata.org/wiki/Q173431","display_name":"CMOS","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/3108","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3108","pdf_url":"https://www.ams.org/mcom/2017-86-304/S0025-5718-2016-03108-7/S0025-5718-2016-03108-7.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01394241v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01394241","pdf_url":null,"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":"Mathematics of Computation, 2016, pp.1 - 1. &#x27E8;10.1090/mcom/3108&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1090/mcom/3108","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3108","pdf_url":"https://www.ams.org/mcom/2017-86-304/S0025-5718-2016-03108-7/S0025-5718-2016-03108-7.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3454678581","display_name":null,"funder_award_id":"11140699","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G3507752504","display_name":null,"funder_award_id":"11140699","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G4070781647","display_name":null,"funder_award_id":"11140699","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G8254670911","display_name":null,"funder_award_id":"11140699","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"},{"id":"https://openalex.org/F4320338073","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":"https://ror.org/02ap3w078"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2332668568.pdf","grobid_xml":"https://content.openalex.org/works/W2332668568.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W107356227","https://openalex.org/W1478805268","https://openalex.org/W1547249381","https://openalex.org/W1586623601","https://openalex.org/W1674659126","https://openalex.org/W1965130545","https://openalex.org/W1966480196","https://openalex.org/W1966922361","https://openalex.org/W1974309308","https://openalex.org/W1977096265","https://openalex.org/W1978693661","https://openalex.org/W1984815757","https://openalex.org/W1986473462","https://openalex.org/W1993348678","https://openalex.org/W1994484297","https://openalex.org/W1997640799","https://openalex.org/W2005788407","https://openalex.org/W2005923469","https://openalex.org/W2014983931","https://openalex.org/W2029918260","https://openalex.org/W2033331374","https://openalex.org/W2038330765","https://openalex.org/W2049248042","https://openalex.org/W2052275102","https://openalex.org/W2070933671","https://openalex.org/W2077024482","https://openalex.org/W2103449449","https://openalex.org/W2132239270","https://openalex.org/W2137746982","https://openalex.org/W2138940269","https://openalex.org/W2139194272","https://openalex.org/W2164089645","https://openalex.org/W2252665821","https://openalex.org/W2952442553","https://openalex.org/W3149667697","https://openalex.org/W4241870219","https://openalex.org/W4249303611","https://openalex.org/W4300943935","https://openalex.org/W6600577134","https://openalex.org/W6638963510"],"related_works":["https://openalex.org/W1514481392","https://openalex.org/W2147599942","https://openalex.org/W3178812599","https://openalex.org/W4322770021","https://openalex.org/W2971149938","https://openalex.org/W2020502833","https://openalex.org/W4287083812","https://openalex.org/W2244793131","https://openalex.org/W3203194254","https://openalex.org/W4280648077"],"abstract_inverted_index":{"In":[0,38],"this":[1],"work":[2],"we":[3,40],"prove":[4],"uniform":[5],"convergence":[6],"of":[7],"the":[8,43,47,51,186,233,317],"Multiscale":[9],"Hybrid-Mixed":[10],"(MHM":[11],"for":[12,17,46,185,316],"short)":[13],"finite":[14],"element":[15],"method":[16,27],"second-order":[18],"elliptic":[19,318],"problems":[20],"with":[21,320],"rough":[22],"periodic":[23],"coefficients.":[24],"The":[25],"MHM":[26],"is":[28,190],"shown":[29],"to":[30],"avoid":[31],"resonance":[32],"errors":[33],"without":[34],"adopting":[35],"oversampling":[36],"techniques.":[37],"particular,":[39],"establish":[41],"that":[42],"discretization":[44],"error":[45,314],"primal":[48],"variable":[49,188],"in":[50,232],"broken":[52],"<inline-formula":[53,72,91,133,191,234,269],"content-type=\"math/mathml\">":[54,73,92,134,192,235,270],"<mml:math":[55,74,93,135,193,236,271],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[56,75,94,136,194,237,272],"alttext=\"upper":[57,76,95,137,195,238],"H":[58,239],"Superscript":[59,101,145,201],"1\">":[60],"<mml:semantics>":[61,79,105,149,205,247,280],"<mml:msup>":[62,80,112,154,162,212],"<mml:mi>H</mml:mi>":[63,249],"<mml:mn>1</mml:mn>":[64,290],"</mml:msup>":[65,83,119,157,169,219],"<mml:annotation":[66,84,123,173,223,260,297],"encoding=\"application/x-tex\">H^1</mml:annotation>":[67],"</mml:semantics>":[68,86,129,179,229,264,301],"</mml:math>":[69,87,130,180,230,265,302],"</inline-formula>":[70,88,131,181,231,266,303],"and":[71,132,184],"L":[77],"squared\">":[78],"<mml:mi>L</mml:mi>":[81],"<mml:mn>2</mml:mn>":[82,156,295],"encoding=\"application/x-tex\">L^2</mml:annotation>":[85],"norms":[89],"are":[90],"O":[96,138,196],"left-parenthesis":[97,139,197,240],"h":[98,140,143,198],"plus":[99,142,199],"epsilon":[100,144,200],"delta":[102,146,202,275],"Baseline":[103,147,203],"right-parenthesis\">":[104,148,204,246],"<mml:mrow>":[106,150,206,248,281],"<mml:mi>O</mml:mi>":[107,151,207],"<mml:mo":[108,120,152,170,208,220,250,257],"stretchy=\"false\">(</mml:mo>":[109,153,209,251],"<mml:mi>h</mml:mi>":[110,155,159,210],"<mml:mo>+</mml:mo>":[111,158,211],"<mml:mi>":[113,116,163,166,213,216,284],"\u03b5":[114,164,214],"</mml:mi>":[115,118,165,168,215,218,286],"\u03b4":[117,167,217,285],"stretchy=\"false\">)</mml:mo>":[121,171,221,258],"</mml:mrow>":[122,172,222,259,294,296],"encoding=\"application/x-tex\">O(h":[124,224],"+":[125,175,225],"\\varepsilon":[126,226],"^\\delta":[127,177,227],")</mml:annotation>":[128,178,228,263],"squared":[141],"<mml:mspace":[160],"width=\"thinmathspace\"/>":[161],"encoding=\"application/x-tex\">O(h^2":[174],"h\\,\\varepsilon":[176],",":[182],"respectively,":[183],"dual":[187],"it":[189],"d":[241],"i":[242],"v":[243],"semicolon":[244],"dot":[245],"<mml:mi>div</mml:mi>":[252],"<mml:mo>;</mml:mo>":[253],"<mml:mo>":[254,287],"\u22c5":[255],"</mml:mo>":[256,289],"encoding=\"application/x-tex\">H(\\operatorname":[261],"{div};\\cdot":[262],"norm,":[267],"where":[268],"alttext=\"0":[273],"greater-than":[274],"less-than-or-equal-to":[276],"1":[277],"slash":[278],"2\">":[279],"<mml:mn>0</mml:mn>":[282],"<mml:mo>&gt;</mml:mo>":[283],"\u2264":[288],"<mml:mrow":[291],"class=\"MJX-TeXAtom-ORD\">":[292],"<mml:mo>/</mml:mo>":[293],"encoding=\"application/x-tex\">0&gt;\\delta":[298],"\\leq":[299],"1/2</mml:annotation>":[300],"(depending":[304],"on":[305,310],"regularity).":[306],"Such":[307],"results":[308],"rely":[309],"sharpened":[311],"asymptotic":[312],"expansion":[313],"estimates":[315],"models":[319],"prescribed":[321],"Dirichlet,":[322],"Neumann":[323],"or":[324],"mixed":[325],"boundary":[326],"conditions.":[327]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
