{"id":"https://openalex.org/W2804100673","doi":"https://doi.org/10.1088/1742-6596/1015/3/032138","title":"About one counterexample of applying method of splitting in modeling of plating processes","display_name":"About one counterexample of applying method of splitting in modeling of plating processes","publication_year":2018,"publication_date":"2018-05-01","ids":{"openalex":"https://openalex.org/W2804100673","doi":"https://doi.org/10.1088/1742-6596/1015/3/032138","mag":"2804100673"},"language":"en","primary_location":{"id":"doi:10.1088/1742-6596/1015/3/032138","doi":"https://doi.org/10.1088/1742-6596/1015/3/032138","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1015/3/032138","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1015/3/032138/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"},"volume":null,"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1015/3/032138/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069390894","display_name":"Denis Sergeevich Solovjev","orcid":"https://orcid.org/0000-0001-6613-3218","observed_orcids":["https://orcid.org/0000-0001-6613-3218"]},"institutions":[{"id":"https://openalex.org/I108321963","display_name":"Tambov State University","ror":"https://ror.org/05fzc8c45","country_code":"RU","type":"education","lineage":["https://openalex.org/I108321963"]},{"id":"https://openalex.org/I195795380","display_name":"Tambov State Technical University","ror":"https://ror.org/04wegbp55","country_code":"RU","type":"education","lineage":["https://openalex.org/I195795380"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"D S Solovjev","raw_affiliation_strings":["Tambov State Technical University, 106, Sovetskaya, Tambov, 392000, Russia","Tambov State University named after G.R. Derzhavin, 33, Internatsionalnaya, Tambov, 392000, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tambov State Technical University, 106, Sovetskaya, Tambov, 392000, Russia","institution_ids":["https://openalex.org/I195795380"]},{"raw_affiliation_string":"Tambov State University named after G.R. Derzhavin, 33, Internatsionalnaya, Tambov, 392000, Russia","institution_ids":["https://openalex.org/I108321963"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002614229","display_name":"Inna A. Solovjeva","orcid":"https://orcid.org/0000-0002-1798-1859","observed_orcids":["https://orcid.org/0000-0002-1798-1859"]},"institutions":[{"id":"https://openalex.org/I195795380","display_name":"Tambov State Technical University","ror":"https://ror.org/04wegbp55","country_code":"RU","type":"education","lineage":["https://openalex.org/I195795380"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I A Solovjeva","raw_affiliation_strings":["Tambov State Technical University, 106, Sovetskaya, Tambov, 392000, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tambov State Technical University, 106, Sovetskaya, Tambov, 392000, Russia","institution_ids":["https://openalex.org/I195795380"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074440743","display_name":"Yu. V. Litovka","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I195795380","display_name":"Tambov State Technical University","ror":"https://ror.org/04wegbp55","country_code":"RU","type":"education","lineage":["https://openalex.org/I195795380"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yu V Litovka","raw_affiliation_strings":["Tambov State Technical University, 106, Sovetskaya, Tambov, 392000, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tambov State Technical University, 106, Sovetskaya, Tambov, 392000, Russia","institution_ids":["https://openalex.org/I195795380"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036578327","display_name":"\u0418. \u041b. \u041a\u043e\u0440\u043e\u0431\u043e\u0432\u0430","orcid":"https://orcid.org/0009-0006-5429-6339","observed_orcids":["https://orcid.org/0009-0006-5429-6339"]},"institutions":[{"id":"https://openalex.org/I195795380","display_name":"Tambov State Technical University","ror":"https://ror.org/04wegbp55","country_code":"RU","type":"education","lineage":["https://openalex.org/I195795380"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I L Korobova","raw_affiliation_strings":["Tambov State Technical University, 106, Sovetskaya, Tambov, 392000, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tambov State Technical University, 106, Sovetskaya, Tambov, 392000, Russia","institution_ids":["https://openalex.org/I195795380"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069390894"],"corresponding_institution_ids":["https://openalex.org/I108321963","https://openalex.org/I195795380"],"apc_list":null,"apc_paid":null,"fwci":1.5953,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79869163,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"1015","issue":null,"first_page":"032138","last_page":"032138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11200","display_name":"Electrodeposition and Electroless Coatings","score":0.7026000022888184,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11200","display_name":"Electrodeposition and Electroless Coatings","score":0.7026000022888184,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.16060000658035278,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.08950000256299973,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/electroplating","display_name":"electroplating","score":0.8579999804496765},{"id":"https://openalex.org/keywords/coating-thickness-uniformity","display_name":"coating thickness uniformity","score":0.796999990940094},{"id":"https://openalex.org/keywords/operator-splitting","display_name":"operator splitting","score":0.7160000205039978},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"finite difference method","score":0.8759999871253967},{"id":"https://openalex.org/keywords/counterexample","display_name":"counterexample","score":0.6470000147819519},{"id":"https://openalex.org/keywords/boundary-conditions","display_name":"boundary conditions","score":0.7070000171661377}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7491124868392944},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.6381673812866211},{"id":"https://openalex.org/C2776985018","wikidata":"https://www.wikidata.org/wiki/Q7202314","display_name":"Plating (geology)","level":2,"score":0.560930609703064},{"id":"https://openalex.org/C89395315","wikidata":"https://www.wikidata.org/wiki/Q181232","display_name":"Anode","level":3,"score":0.5592716932296753},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5506842732429504},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5292274951934814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4971301853656769},{"id":"https://openalex.org/C49110097","wikidata":"https://www.wikidata.org/wiki/Q175233","display_name":"Cathode","level":2,"score":0.47860950231552124},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4319772720336914},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38601505756378174},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3554399013519287},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.354861319065094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27745938301086426},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25329476594924927},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16933998465538025},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.13089382648468018},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11856001615524292},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C8058405","wikidata":"https://www.wikidata.org/wiki/Q46255","display_name":"Geophysics","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/1742-6596/1015/3/032138","doi":"https://doi.org/10.1088/1742-6596/1015/3/032138","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1015/3/032138","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1015/3/032138/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/1742-6596/1015/3/032138","doi":"https://doi.org/10.1088/1742-6596/1015/3/032138","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1742-6596/1015/3/032138","pdf_url":"https://iopscience.iop.org/article/10.1088/1742-6596/1015/3/032138/pdf","source":{"id":"https://openalex.org/S4210187594","display_name":"Journal of Physics Conference Series","issn_l":"1742-6588","issn":["1742-6588","1742-6596"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics: Conference Series","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2804100673.pdf","grobid_xml":"https://content.openalex.org/works/W2804100673.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1995163483","https://openalex.org/W2071468594","https://openalex.org/W2092498239","https://openalex.org/W2967969587","https://openalex.org/W4213076572","https://openalex.org/W4243986078","https://openalex.org/W4382020669"],"related_works":["https://openalex.org/W2393076403","https://openalex.org/W4402321879","https://openalex.org/W4242919696","https://openalex.org/W3133083627","https://openalex.org/W2913726739","https://openalex.org/W50872375","https://openalex.org/W4295018152","https://openalex.org/W4313529103","https://openalex.org/W2988611371","https://openalex.org/W4396681623"],"abstract_inverted_index":{"The":[0,22,36,47,109],"paper":[1],"presents":[2],"the":[3,8,11,17,20,26,58,67,70,74,77,82,88,107,114,117,135,139,142],"main":[4],"factors":[5,31],"that":[6,113],"affect":[7],"uniformity":[9],"of":[10,14,19,29,38,41,69,76,79,81,138],"thickness":[12],"distribution":[13],"plating":[15,93],"on":[16,92],"surface":[18],"product.":[21],"experimental":[23],"search":[24],"for":[25,66],"optimal":[27],"values":[28],"these":[30,86],"is":[32,44,61],"expensive":[33],"and":[34,52,98],"time-consuming.":[35],"problem":[37],"adequate":[39,131],"simulation":[40],"coating":[42],"processes":[43],"very":[45],"relevant.":[46],"finite-difference":[48],"approximation":[49],"using":[50,116],"seven-point":[51],"five-point":[53],"templates":[54],"in":[55,106],"combination":[56],"with":[57,94],"splitting":[59,118],"method":[60,119],"considered":[62],"as":[63],"solution":[64,78,115],"methods":[65],"equations":[68,80],"model.":[71],"To":[72],"study":[73],"correctness":[75],"mathematical":[83],"model":[84],"by":[85],"methods,":[87],"experiments":[89],"were":[90],"conducted":[91],"a":[95],"flat":[96],"anode":[97],"cathode,":[99],"which":[100],"relative":[101],"position":[102],"was":[103,120],"not":[104,129],"changed":[105],"bath.":[108],"studies":[110],"have":[111],"shown":[112],"up":[121],"to":[122,134],"1.5":[123],"times":[124],"faster,":[125],"but":[126],"it":[127],"did":[128],"give":[130],"results":[132],"due":[133],"geometric":[136],"features":[137],"task":[140],"under":[141],"given":[143],"boundary":[144],"conditions.":[145]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-10-22T09:42:04.148104","created_date":"2018-06-01T00:00:00"}
