{"id":"https://openalex.org/W2973546845","doi":"https://doi.org/10.1145/3345252.3345271","title":"Solution of the Optimal Control Problem for Helmholtz Equations with m-Point Nonlocal Boundary Conditions Using MEDG Method","display_name":"Solution of the Optimal Control Problem for Helmholtz Equations with m-Point Nonlocal Boundary Conditions Using MEDG Method","publication_year":2019,"publication_date":"2019-06-21","ids":{"openalex":"https://openalex.org/W2973546845","doi":"https://doi.org/10.1145/3345252.3345271","mag":"2973546845"},"language":"en","primary_location":{"id":"doi:10.1145/3345252.3345271","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3345252.3345271","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 20th International Conference on Computer Systems and Technologies","raw_type":"proceedings-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/A5090139312","display_name":"David Devadze","orcid":"https://orcid.org/0009-0006-1669-1426"},"institutions":[{"id":"https://openalex.org/I12153360","display_name":"Batumi Shota Rustaveli State University","ror":"https://ror.org/0212gyx73","country_code":"GE","type":"education","lineage":["https://openalex.org/I12153360"]}],"countries":["GE"],"is_corresponding":true,"raw_author_name":"David Devadze","raw_affiliation_strings":["Department of Computer Sciences, Batumi Shota Rustavely State University, Georgia"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Batumi Shota Rustavely State University, Georgia","institution_ids":["https://openalex.org/I12153360"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032618262","display_name":"Vakhtang Beridze","orcid":"https://orcid.org/0009-0001-2787-3720"},"institutions":[{"id":"https://openalex.org/I12153360","display_name":"Batumi Shota Rustaveli State University","ror":"https://ror.org/0212gyx73","country_code":"GE","type":"education","lineage":["https://openalex.org/I12153360"]}],"countries":["GE"],"is_corresponding":false,"raw_author_name":"Vakhtang Beridze","raw_affiliation_strings":["Department of Computer Sciences, Batumi Shota Rustavely State University, Georgia"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Batumi Shota Rustavely State University, Georgia","institution_ids":["https://openalex.org/I12153360"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090139312"],"corresponding_institution_ids":["https://openalex.org/I12153360"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10986375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"131","last_page":"136"},"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":0.9991000294685364,"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":0.9991000294685364,"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/T10514","display_name":"Numerical methods in engineering","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9990000128746033,"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/stencil","display_name":"Stencil","score":0.8331437110900879},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.7331724762916565},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6476700305938721},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6236472725868225},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.6218196749687195},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5950727462768555},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5780379176139832},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5476221442222595},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5321826934814453},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49431610107421875},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4882524311542511},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.44900354743003845},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4256138801574707},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3403064012527466},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15037429332733154},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12643146514892578}],"concepts":[{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.8331437110900879},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.7331724762916565},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6476700305938721},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6236472725868225},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.6218196749687195},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5950727462768555},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5780379176139832},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5476221442222595},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5321826934814453},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49431610107421875},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4882524311542511},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.44900354743003845},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4256138801574707},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3403064012527466},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15037429332733154},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12643146514892578},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3345252.3345271","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3345252.3345271","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 20th International Conference on Computer Systems and Technologies","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W15541994","https://openalex.org/W1061498936","https://openalex.org/W2113195316","https://openalex.org/W2317535694","https://openalex.org/W2319908435","https://openalex.org/W2771009045","https://openalex.org/W2783778578"],"related_works":["https://openalex.org/W4365420316","https://openalex.org/W3193896743","https://openalex.org/W3176862315","https://openalex.org/W3120022531","https://openalex.org/W2330640442","https://openalex.org/W2340830474","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W1988071029","https://openalex.org/W2161704621"],"abstract_inverted_index":{"The":[0],"paper":[1],"deals":[2],"with":[3,14,60,88],"optimal":[4,31,82],"control":[5,83],"problems":[6],"whose":[7],"behavior":[8],"is":[9,39,43,78],"described":[10],"by":[11,33],"Helmholtz":[12,86],"equation":[13],"m-point":[15,89],"nonlocal":[16,90],"boundary":[17,91],"conditions.":[18,92],"Modified":[19],"Explicit":[20],"Decoupled":[21],"Group":[22],"(MEDG)":[23],"numerical":[24],"method":[25,42,77],"of":[26,29,35,48],"the":[27,36,49,55,61,67],"solution":[28],"an":[30],"problem":[32,84],"means":[34],"Mathcad":[37],"package":[38],"presented.":[40],"MEDG":[41,76],"derived":[44],"using":[45],"a":[46,74],"combination":[47],"five-point":[50,62],"finite":[51],"difference":[52,64],"approximation":[53,65],"on":[54,66],"rotated":[56],"grid":[57,69],"stencil":[58],"together":[59],"centered":[63],"standard":[68],"stencils.":[70],"In":[71],"this":[72],"paper,":[73],"new":[75],"formulate":[79],"to":[80],"solve":[81],"for":[85],"equations":[87]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}