{"id":"https://openalex.org/W2007653816","doi":"https://doi.org/10.1134/s0965542508020115","title":"Optimal control problem for steady-state equations of acoustic wave diffraction","display_name":"Optimal control problem for steady-state equations of acoustic wave diffraction","publication_year":2008,"publication_date":"2008-02-01","ids":{"openalex":"https://openalex.org/W2007653816","doi":"https://doi.org/10.1134/s0965542508020115","mag":"2007653816"},"language":"en","primary_location":{"id":"doi:10.1134/s0965542508020115","doi":"https://doi.org/10.1134/s0965542508020115","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0965542508020115","pdf_url":null,"source":{"id":"https://openalex.org/S149956803","display_name":"Computational Mathematics and Mathematical Physics","issn_l":"0965-5425","issn":["0965-5425","1555-6662"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Mathematics and Mathematical Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5090579509","display_name":"Lyubov Illarionova","orcid":"https://orcid.org/0000-0002-0064-8785","observed_orcids":["https://orcid.org/0000-0002-0064-8785"]},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210143490","display_name":"Computing Center","ror":"https://ror.org/0557kgc34","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210143490","https://openalex.org/I4210148470"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"L. V. Illarionova","raw_affiliation_strings":["Computer Center, Far East Division, Russian Academy of Sciences, ul. Kim Yu Chena 65, Khabarovsk, 680000, Russia","Russian Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Center, Far East Division, Russian Academy of Sciences, ul. Kim Yu Chena 65, Khabarovsk, 680000, Russia","institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210143490"]},{"raw_affiliation_string":"Russian Academy of Sciences","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090579509"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210143490"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":"2","first_page":"284","last_page":"294"},"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":0.30000001192092896,"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":0.30000001192092896,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.25220000743865967,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.2280000001192093,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/optimal-control","display_name":"optimal control","score":0.9559999704360962},{"id":"https://openalex.org/keywords/sound-diffraction","display_name":"acoustic diffraction","score":0.9240000247955322},{"id":"https://openalex.org/keywords/steady-state-equations","display_name":"steady-state equations","score":0.8840000033378601},{"id":"https://openalex.org/keywords/solvability","display_name":"solvability","score":0.7639999985694885},{"id":"https://openalex.org/keywords/solution-methods","display_name":"solution methods","score":0.7099999785423279},{"id":"https://openalex.org/keywords/convergence","display_name":"convergence","score":0.9779999852180481}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7816906571388245},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6180553436279297},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.6072572469711304},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6062908172607422},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5558388233184814},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5522480010986328},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5313494801521301},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.488770455121994},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.420918732881546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3676595687866211},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35288161039352417},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.35150063037872314},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30850082635879517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12449610233306885},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1157461404800415},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08472704887390137},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07497268915176392},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0965542508020115","doi":"https://doi.org/10.1134/s0965542508020115","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0965542508020115","pdf_url":null,"source":{"id":"https://openalex.org/S149956803","display_name":"Computational Mathematics and Mathematical Physics","issn_l":"0965-5425","issn":["0965-5425","1555-6662"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Mathematics and Mathematical Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323858","display_name":"Far East Branch, Russian Academy of Sciences","ror":"https://ror.org/05t43vz03"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W385499458","https://openalex.org/W590181228","https://openalex.org/W1517670975","https://openalex.org/W1983025549","https://openalex.org/W1988001807","https://openalex.org/W1996038873","https://openalex.org/W2022337355","https://openalex.org/W2043849694","https://openalex.org/W2061404360","https://openalex.org/W2071244702","https://openalex.org/W2076035325","https://openalex.org/W2476452038","https://openalex.org/W2588200798","https://openalex.org/W3038830718","https://openalex.org/W3140377161","https://openalex.org/W4244404926"],"related_works":["https://openalex.org/W2014098926","https://openalex.org/W3131349022","https://openalex.org/W2230119170","https://openalex.org/W2087223022","https://openalex.org/W7099090250","https://openalex.org/W2077871098","https://openalex.org/W2909418917","https://openalex.org/W8752453","https://openalex.org/W7019566869","https://openalex.org/W8259625"],"abstract_inverted_index":{"An":[0],"optimal":[1],"control":[2],"problem":[3,58],"is":[4,26,59,64,69],"considered":[5],"for":[6],"the":[7,29,33,37,47,51,57],"steady-state":[8],"equations":[9],"of":[10,32,56],"acoustic":[11],"wave":[12],"diffraction":[13],"caused":[14],"by":[15],"a":[16,40],"three-dimensional":[17],"inclusion":[18,38],"in":[19,50],"an":[20],"unbounded":[21],"homogeneous":[22],"medium.":[23,53],"The":[24,54],"task":[25],"to":[27,45],"minimize":[28],"L":[30],"2-deviation":[31],"pressure":[34],"field":[35,48],"inside":[36],"from":[39],"certain":[41],"prescribed":[42],"value":[43],"due":[44],"changing":[46],"sources":[49],"external":[52],"solvability":[55],"proved.":[60,70],"A":[61],"solution":[62],"algorithm":[63],"proposed,":[65],"and":[66],"its":[67],"convergence":[68]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2016-06-24T00:00:00"}