{"id":"https://openalex.org/W3203814067","doi":"https://doi.org/10.1109/acit52158.2021.9548633","title":"Solving the Coefficient Inverse Problem by the Deep Galerkin Method","display_name":"Solving the Coefficient Inverse Problem by the Deep Galerkin Method","publication_year":2021,"publication_date":"2021-09-15","ids":{"openalex":"https://openalex.org/W3203814067","doi":"https://doi.org/10.1109/acit52158.2021.9548633","mag":"3203814067"},"language":"en","primary_location":{"id":"doi:10.1109/acit52158.2021.9548633","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acit52158.2021.9548633","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 11th International Conference on Advanced Computer Information Technologies (ACIT)","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/A5073730873","display_name":"Iryna Vergunova","orcid":null},"institutions":[{"id":"https://openalex.org/I189238007","display_name":"Taras Shevchenko National University of Kyiv","ror":"https://ror.org/02aaqv166","country_code":"UA","type":"education","lineage":["https://openalex.org/I189238007"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Iryna Vergunova","raw_affiliation_strings":["Taras Shevchenko National, University of Kiev, Kyiv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Taras Shevchenko National, University of Kiev, Kyiv, Ukraine","institution_ids":["https://openalex.org/I189238007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112554377","display_name":"\u0412\u0456\u043a\u0442\u043e\u0440 \u0412\u0435\u0440\u0433\u0443\u043d\u043e\u0432","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116495","display_name":"National Scientific Agricultural Library of the National Academy of Agrarian Sciences of Ukraine","ror":"https://ror.org/02phq3304","country_code":"UA","type":"archive","lineage":["https://openalex.org/I4210116495"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Viktor Vergunov","raw_affiliation_strings":["National Scientific Agricultural, Library of NAAS, Kyiv, Ukraine"],"affiliations":[{"raw_affiliation_string":"National Scientific Agricultural, Library of NAAS, Kyiv, Ukraine","institution_ids":["https://openalex.org/I4210116495"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066411101","display_name":"Iuliia Rosemann","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116495","display_name":"National Scientific Agricultural Library of the National Academy of Agrarian Sciences of Ukraine","ror":"https://ror.org/02phq3304","country_code":"UA","type":"archive","lineage":["https://openalex.org/I4210116495"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Iuliia Rosemann","raw_affiliation_strings":["National Scientific Agricultural, Library of NAAS, Kyiv, Ukraine"],"affiliations":[{"raw_affiliation_string":"National Scientific Agricultural, Library of NAAS, Kyiv, Ukraine","institution_ids":["https://openalex.org/I4210116495"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073730873"],"corresponding_institution_ids":["https://openalex.org/I189238007"],"apc_list":null,"apc_paid":null,"fwci":0.4825,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63477535,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"65","last_page":"70"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9164000153541565,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9164000153541565,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6481428146362305},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5398167371749878},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5373465418815613},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.531132161617279},{"id":"https://openalex.org/keywords/aeration","display_name":"Aeration","score":0.517349898815155},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4865521490573883},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4846270978450775},{"id":"https://openalex.org/keywords/pollution","display_name":"Pollution","score":0.4600711762905121},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42781662940979004},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4151081442832947},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4021240472793579},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3788645267486572},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3780466318130493},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3213246166706085},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.20047101378440857},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15056419372558594},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11790081858634949},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10337957739830017},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08813676238059998}],"concepts":[{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6481428146362305},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5398167371749878},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5373465418815613},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.531132161617279},{"id":"https://openalex.org/C86922832","wikidata":"https://www.wikidata.org/wiki/Q381105","display_name":"Aeration","level":2,"score":0.517349898815155},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4865521490573883},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4846270978450775},{"id":"https://openalex.org/C521259446","wikidata":"https://www.wikidata.org/wiki/Q58734","display_name":"Pollution","level":2,"score":0.4600711762905121},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42781662940979004},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4151081442832947},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4021240472793579},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3788645267486572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3780466318130493},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3213246166706085},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.20047101378440857},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15056419372558594},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11790081858634949},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10337957739830017},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08813676238059998},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C548081761","wikidata":"https://www.wikidata.org/wiki/Q180388","display_name":"Waste management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acit52158.2021.9548633","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acit52158.2021.9548633","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 11th International Conference on Advanced Computer Information Technologies (ACIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.5,"display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1481182896","https://openalex.org/W1988115241","https://openalex.org/W2062228129","https://openalex.org/W2625995436","https://openalex.org/W2749028154","https://openalex.org/W2895004552","https://openalex.org/W2942896733","https://openalex.org/W3010985755","https://openalex.org/W3043383266","https://openalex.org/W3099661895","https://openalex.org/W3103674763"],"related_works":["https://openalex.org/W3204067597","https://openalex.org/W2048208065","https://openalex.org/W2072672823","https://openalex.org/W2077134093","https://openalex.org/W3007430728","https://openalex.org/W2084228876","https://openalex.org/W1977605025","https://openalex.org/W2080181849","https://openalex.org/W2339811963","https://openalex.org/W2124458868"],"abstract_inverted_index":{"The":[0,46,58],"method":[1,49,59],"for":[2,10,92,104],"determining":[3],"the":[4,11,20,24,27,54,81,93,99,105,110],"values":[5,79],"of":[6,13,16,23,26,66,70,76,80,86,89,95,112],"effective":[7],"diffusion":[8],"coefficient":[9,56],"problem":[12],"dynamic":[14,42],"control":[15],"pollution":[17,97],"distribution":[18],"in":[19,98,109],"aeration":[21],"zone":[22],"soil":[25,107],"agricultural":[28],"landscape":[29,100],"with":[30,101],"a":[31,38,61,67,74],"piece-smooth":[32],"surface,":[33],"which":[34],"is":[35,44,50,115],"based":[36],"on":[37],"differential":[39],"spatially":[40],"distributed":[41],"model,":[43],"proposed.":[45],"Deep":[47],"Galerkin":[48],"used":[51],"to":[52],"solve":[53],"inverse":[55],"problem.":[57],"uses":[60],"deep":[62],"neural":[63],"network":[64],"instead":[65],"linear":[68],"combination":[69],"basic":[71],"functions":[72],"and":[73],"set":[75],"experimentally":[77],"determined":[78],"pollutant":[82],"concentration.":[83],"An":[84],"example":[85],"numerical":[87],"implementation":[88],"this":[90],"approach":[91],"study":[94],"surface":[96,106],"hydraulic":[102],"shafts-terraces":[103],"layers":[108],"range":[111],"0-20":[113],"cm":[114],"given.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}
