{"id":"https://openalex.org/W4299543421","doi":"https://doi.org/10.15388/22-infor481","title":"Parallel 3D ADI Scheme for Partially Dimension Reduced Heat Conduction Problem","display_name":"Parallel 3D ADI Scheme for Partially Dimension Reduced Heat Conduction Problem","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4299543421","doi":"https://doi.org/10.15388/22-infor481"},"language":"en","primary_location":{"id":"doi:10.15388/22-infor481","is_oa":true,"landing_page_url":"https://doi.org/10.15388/22-infor481","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1259/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1259/file/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033241818","display_name":"Raimondas \u010ciegis","orcid":"https://orcid.org/0000-0002-3262-3048"},"institutions":[{"id":"https://openalex.org/I167420956","display_name":"Vilnius Gediminas Technical University","ror":"https://ror.org/02x3e4q36","country_code":"LT","type":"education","lineage":["https://openalex.org/I167420956"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Raimondas \u010ciegis","raw_affiliation_strings":["Vilnius Gediminas Technical University, Saul\u0117tekio av. 11, LT-10223 Vilnius, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vilnius Gediminas Technical University, Saul\u0117tekio av. 11, LT-10223 Vilnius, Lithuania","institution_ids":["https://openalex.org/I167420956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053620580","display_name":"Remigijus \u010ciegis","orcid":"https://orcid.org/0000-0001-9303-7205"},"institutions":[{"id":"https://openalex.org/I173212132","display_name":"Vilnius University","ror":"https://ror.org/03nadee84","country_code":"LT","type":"education","lineage":["https://openalex.org/I173212132"]}],"countries":["LT"],"is_corresponding":true,"raw_author_name":"Remigijus \u010ciegis","raw_affiliation_strings":["Vilnius University Kaunas Faculty, Muitin\u0117s st. 8, LT-44280 Kaunas, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vilnius University Kaunas Faculty, Muitin\u0117s st. 8, LT-44280 Kaunas, Lithuania","institution_ids":["https://openalex.org/I173212132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020008742","display_name":"Olga Subo\u010d","orcid":"https://orcid.org/0000-0002-6616-9277"},"institutions":[{"id":"https://openalex.org/I167420956","display_name":"Vilnius Gediminas Technical University","ror":"https://ror.org/02x3e4q36","country_code":"LT","type":"education","lineage":["https://openalex.org/I167420956"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Olga Subo\u010d","raw_affiliation_strings":["Vilnius Gediminas Technical University, Saul\u0117tekio av. 11, LT-10223 Vilnius, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vilnius Gediminas Technical University, Saul\u0117tekio av. 11, LT-10223 Vilnius, Lithuania","institution_ids":["https://openalex.org/I167420956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053620580"],"corresponding_institution_ids":["https://openalex.org/I173212132"],"apc_list":null,"apc_paid":null,"fwci":0.166,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.43298437,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"477","last_page":"497"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9947999715805054,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7351665496826172},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.5993033051490784},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.564934492111206},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5560730695724487},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.516997218132019},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5085614919662476},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5041228532791138},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.47602608799934387},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4630442261695862},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.4299302101135254},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.419342577457428},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40252697467803955},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3461988568305969},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16706308722496033},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0905415415763855}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7351665496826172},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.5993033051490784},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.564934492111206},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5560730695724487},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.516997218132019},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5085614919662476},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5041228532791138},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.47602608799934387},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4630442261695862},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.4299302101135254},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.419342577457428},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40252697467803955},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3461988568305969},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16706308722496033},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0905415415763855},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.15388/22-infor481","is_oa":true,"landing_page_url":"https://doi.org/10.15388/22-infor481","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1259/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.15388/22-infor481","is_oa":true,"landing_page_url":"https://doi.org/10.15388/22-infor481","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1259/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4299543421.pdf","grobid_xml":"https://content.openalex.org/works/W4299543421.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W626314958","https://openalex.org/W1902819800","https://openalex.org/W1978369275","https://openalex.org/W2065726474","https://openalex.org/W2133303733","https://openalex.org/W2234089489","https://openalex.org/W2337795902","https://openalex.org/W2800664136","https://openalex.org/W2800932056","https://openalex.org/W2802466223","https://openalex.org/W2888981839","https://openalex.org/W2896383609","https://openalex.org/W2965953668","https://openalex.org/W3024928619","https://openalex.org/W3038364746","https://openalex.org/W3128384960"],"related_works":["https://openalex.org/W2364921833","https://openalex.org/W1607154928","https://openalex.org/W2302028273","https://openalex.org/W1525643724","https://openalex.org/W2067938758","https://openalex.org/W2382623646","https://openalex.org/W3087771547","https://openalex.org/W2333420780","https://openalex.org/W2375199418","https://openalex.org/W2371205560"],"abstract_inverted_index":{"This":[0],"model":[1],"describes":[2],"the":[3,20,34,40,66,77,96,103,111,121,133,141],"heat":[4,79],"equation":[5,32],"in":[6,24,36,48],"3D":[7,88],"domains,":[8],"and":[9,27,89,137],"this":[10,63],"problem":[11],"is":[12,56,73,93,99,107,125],"reduced":[13,126],"to":[14,30,57,75,109,118],"a":[15],"hybrid":[16],"dimension":[17,22],"problem,":[18],"keeping":[19],"initial":[21],"only":[23],"some":[25,37],"parts":[26],"reducing":[28],"it":[29],"one-dimensional":[31],"within":[33],"domains":[35],"distance":[38],"from":[39],"base":[41],"regions.":[42],"Such":[43],"mathematical":[44],"models":[45],"are":[46,85],"typical":[47],"industrial":[49],"installations":[50],"such":[51],"as":[52],"pipelines.":[53],"Our":[54],"aim":[55],"add":[58],"two":[59],"additional":[60],"improvements":[61],"into":[62],"methodology.":[64],"First,":[65],"economical":[67],"ADI":[68,97],"type":[69],"finite":[70],"volume":[71],"scheme":[72,98],"constructed":[74],"solve":[76,110],"non-classical":[78],"conduction":[80],"problem.":[81],"Special":[82],"interface":[83],"conditions":[84],"defined":[86],"between":[87],"1D":[90],"parts.":[91],"It":[92],"proved":[94],"that":[95],"unconditionally":[100],"stable.":[101],"Second,":[102],"parallel":[104,142],"factorization":[105],"algorithm":[106],"proposed":[108],"obtained":[112],"systems":[113],"of":[114,123,129,140],"discrete":[115],"equations.":[116],"Due":[117],"both":[119],"modifications":[120],"run-time":[122],"computations":[124],"essentially.":[127],"Results":[128],"computational":[130],"experiments":[131],"confirm":[132],"theoretical":[134],"error":[135],"analysis":[136],"scalability":[138],"estimates":[139],"algorithm.":[143]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2022-10-02T00:00:00"}