{"id":"https://openalex.org/W2900091160","doi":"https://doi.org/10.1109/ewdts.2018.8524137","title":"Solution of an Optimal Control Problem for Helmholtz Equations with m- Point Nonlocal Boundary Conditions by Means Mathcad","display_name":"Solution of an Optimal Control Problem for Helmholtz Equations with m- Point Nonlocal Boundary Conditions by Means Mathcad","publication_year":2018,"publication_date":"2018-09-01","ids":{"openalex":"https://openalex.org/W2900091160","doi":"https://doi.org/10.1109/ewdts.2018.8524137","mag":"2900091160"},"language":"en","primary_location":{"id":"doi:10.1109/ewdts.2018.8524137","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ewdts.2018.8524137","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE East-West Design & Test Symposium (EWDTS)","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/A5081980958","display_name":"Marina Abashidze","orcid":null},"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":"Marina Abashidze","raw_affiliation_strings":["Department of Computer Sciences, Batumi Shota Rustavely State University, 35 Ninoshvili St., Batumi, 6010, Georgia","Department of Computer Sciences, Batumi Shota Rustavely State University, Batumi, Georgia"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Batumi Shota Rustavely State University, 35 Ninoshvili St., Batumi, 6010, Georgia","institution_ids":["https://openalex.org/I12153360"]},{"raw_affiliation_string":"Department of Computer Sciences, Batumi Shota Rustavely State University, Batumi, 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, 35 Ninoshvili St., Batumi, 6010, Georgia","Department of Computer Sciences, Batumi Shota Rustavely State University, Batumi, Georgia"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Batumi Shota Rustavely State University, 35 Ninoshvili St., Batumi, 6010, Georgia","institution_ids":["https://openalex.org/I12153360"]},{"raw_affiliation_string":"Department of Computer Sciences, Batumi Shota Rustavely State University, Batumi, Georgia","institution_ids":["https://openalex.org/I12153360"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081980958"],"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":0.17296733,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9998000264167786,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9998000264167786,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.996399998664856,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9886000156402588,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.7220189571380615},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6891282796859741},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6512909531593323},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6326583027839661},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5775693655014038},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5613721609115601},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.5279071927070618},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5127692818641663},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5000989437103271},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36213916540145874},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3201749920845032},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17662498354911804},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12068146467208862}],"concepts":[{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.7220189571380615},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6891282796859741},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6512909531593323},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6326583027839661},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5775693655014038},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5613721609115601},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.5279071927070618},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5127692818641663},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5000989437103271},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36213916540145874},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3201749920845032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17662498354911804},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12068146467208862},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ewdts.2018.8524137","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ewdts.2018.8524137","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE East-West Design & Test Symposium (EWDTS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W650961940","https://openalex.org/W1061498936","https://openalex.org/W2035984918","https://openalex.org/W2317535694","https://openalex.org/W2439934189","https://openalex.org/W2577909137","https://openalex.org/W2771009045","https://openalex.org/W2783778578","https://openalex.org/W6718477908"],"related_works":["https://openalex.org/W2092968426","https://openalex.org/W2540416959","https://openalex.org/W2038541754","https://openalex.org/W4365420316","https://openalex.org/W3193896743","https://openalex.org/W3176862315","https://openalex.org/W3120022531","https://openalex.org/W2053857640","https://openalex.org/W2133690079","https://openalex.org/W2111215486"],"abstract_inverted_index":{"The":[0,20],"paper":[1],"deals":[2],"with":[3,14],"optimal":[4,39],"control":[5],"problems":[6],"whose":[7],"behavior":[8],"is":[9,29,47],"described":[10],"by":[11,41],"Helmholtz":[12],"equation":[13],"Bitsadze-Samarski":[15],"m-point":[16],"nonlocal":[17],"boundary":[18],"conditions.":[19],"theorem":[21],"about":[22],"a":[23],"necessary":[24],"and":[25],"sufficient":[26],"optimality":[27],"condition":[28],"given.":[30],"A":[31],"numerical":[32],"method":[33],"of":[34,37,43],"the":[35,44],"solution":[36],"an":[38],"problem":[40],"means":[42],"Mathcad":[45],"package":[46],"presented.":[48]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}