{"id":"https://openalex.org/W4401884792","doi":"https://doi.org/10.3390/app14177543","title":"Enhanced Upward Translations for Systems with Clusters","display_name":"Enhanced Upward Translations for Systems with Clusters","publication_year":2024,"publication_date":"2024-08-26","ids":{"openalex":"https://openalex.org/W4401884792","doi":"https://doi.org/10.3390/app14177543"},"language":"en","primary_location":{"id":"doi:10.3390/app14177543","doi":"https://doi.org/10.3390/app14177543","is_oa":true,"landing_page_url":"https://doi.org/10.3390/app14177543","pdf_url":"https://www.mdpi.com/2076-3417/14/17/7543/pdf?version=1724668389","source":{"id":"https://openalex.org/S4210205812","display_name":"Applied Sciences","issn_l":"2076-3417","issn":["2076-3417"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Sciences","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2076-3417/14/17/7543/pdf?version=1724668389","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057528073","display_name":"Ewa Rejwer-Kosi\u0144ska","orcid":"https://orcid.org/0000-0001-8788-2090","observed_orcids":["https://orcid.org/0000-0001-8788-2090"]},"institutions":[{"id":"https://openalex.org/I111664937","display_name":"Rzesz\u00f3w University of Technology","ror":"https://ror.org/056xse072","country_code":"PL","type":"education","lineage":["https://openalex.org/I111664937"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Ewa Rejwer-Kosi\u0144ska","raw_affiliation_strings":["Rzeszow University of Technology","Rzeszow University of Technology, al. Insurgents Warszawy 12, Rzesz\u00f3w, 35-959, Poland","Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rzeszow University of Technology","institution_ids":["https://openalex.org/I111664937"]},{"raw_affiliation_string":"Rzeszow University of Technology, al. Insurgents Warszawy 12, Rzesz\u00f3w, 35-959, Poland","institution_ids":["https://openalex.org/I111664937"]},{"raw_affiliation_string":"Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland","institution_ids":["https://openalex.org/I111664937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073495239","display_name":"A. M. Linkov","orcid":"https://orcid.org/0000-0003-0971-3499","observed_orcids":["https://orcid.org/0000-0003-0971-3499"]},"institutions":[{"id":"https://openalex.org/I111664937","display_name":"Rzesz\u00f3w University of Technology","ror":"https://ror.org/056xse072","country_code":"PL","type":"education","lineage":["https://openalex.org/I111664937"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Aleksandr Linkov","raw_affiliation_strings":["Rzeszow University of Technology","Rzeszow University of Technology, al. Insurgents Warszawy 12, Rzesz\u00f3w, 35-959, Poland","Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rzeszow University of Technology","institution_ids":["https://openalex.org/I111664937"]},{"raw_affiliation_string":"Rzeszow University of Technology, al. Insurgents Warszawy 12, Rzesz\u00f3w, 35-959, Poland","institution_ids":["https://openalex.org/I111664937"]},{"raw_affiliation_string":"Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland","institution_ids":["https://openalex.org/I111664937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064140115","display_name":"Liliana Rybarska-Rusinek","orcid":"https://orcid.org/0000-0001-7978-6285","observed_orcids":["https://orcid.org/0000-0001-7978-6285"]},"institutions":[{"id":"https://openalex.org/I111664937","display_name":"Rzesz\u00f3w University of Technology","ror":"https://ror.org/056xse072","country_code":"PL","type":"education","lineage":["https://openalex.org/I111664937"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Liliana Rybarska-Rusinek","raw_affiliation_strings":["Rzeszow University of Technology","Rzeszow University of Technology, al. Insurgents Warszawy 12, Rzesz\u00f3w, 35-959, Poland","Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rzeszow University of Technology","institution_ids":["https://openalex.org/I111664937"]},{"raw_affiliation_string":"Rzeszow University of Technology, al. Insurgents Warszawy 12, Rzesz\u00f3w, 35-959, Poland","institution_ids":["https://openalex.org/I111664937"]},{"raw_affiliation_string":"Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland","institution_ids":["https://openalex.org/I111664937"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057528073"],"corresponding_institution_ids":["https://openalex.org/I111664937"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2728},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2728},"fwci":0.1595,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.33491459,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"17","first_page":"7543","last_page":"7543"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.004000000189989805,"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":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fast-multipole-method","display_name":"fast multipole method","score":0.8040000200271606},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"boundary element method","score":0.7630000114440918},{"id":"https://openalex.org/keywords/hierarchical-trees","display_name":"hierarchical tree structure","score":0.671999990940094},{"id":"https://openalex.org/keywords/matrix-vector-multiplication-acceleration","display_name":"matrix-vector multiplication acceleration","score":0.593999981880188},{"id":"https://openalex.org/keywords/large-scale-problems","display_name":"large-scale problems","score":0.39100000262260437}],"concepts":[{"id":"https://openalex.org/C135115559","wikidata":"https://www.wikidata.org/wiki/Q5437040","display_name":"Fast multipole method","level":3,"score":0.808677077293396},{"id":"https://openalex.org/C52765159","wikidata":"https://www.wikidata.org/wiki/Q1027847","display_name":"Multipole expansion","level":2,"score":0.7672313451766968},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5987061262130737},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.5643137097358704},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5043841600418091},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49813103675842285},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46946799755096436},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4151199758052826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3903115391731262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3060498535633087},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22901079058647156},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09155425429344177},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08831188082695007},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/app14177543","doi":"https://doi.org/10.3390/app14177543","is_oa":true,"landing_page_url":"https://doi.org/10.3390/app14177543","pdf_url":"https://www.mdpi.com/2076-3417/14/17/7543/pdf?version=1724668389","source":{"id":"https://openalex.org/S4210205812","display_name":"Applied Sciences","issn_l":"2076-3417","issn":["2076-3417"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Sciences","raw_type":"journal-article"},{"id":"doi:10.2139/ssrn.4518061","doi":"https://doi.org/10.2139/ssrn.4518061","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.4518061","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},{"id":"pmh:oai:doaj.org/article:44b703f012c74b42989bff4646902ff2","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/44b703f012c74b42989bff4646902ff2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applied Sciences, Vol 14, Iss 17, p 7543 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/app14177543","doi":"https://doi.org/10.3390/app14177543","is_oa":true,"landing_page_url":"https://doi.org/10.3390/app14177543","pdf_url":"https://www.mdpi.com/2076-3417/14/17/7543/pdf?version=1724668389","source":{"id":"https://openalex.org/S4210205812","display_name":"Applied Sciences","issn_l":"2076-3417","issn":["2076-3417"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401884792.pdf","grobid_xml":"https://content.openalex.org/works/W4401884792.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W599820626","https://openalex.org/W1205704142","https://openalex.org/W1964381202","https://openalex.org/W1968376936","https://openalex.org/W1976986637","https://openalex.org/W1982115588","https://openalex.org/W1991645081","https://openalex.org/W2014584786","https://openalex.org/W2019762760","https://openalex.org/W2054557822","https://openalex.org/W2083206954","https://openalex.org/W2084471518","https://openalex.org/W2085366428","https://openalex.org/W2099519921","https://openalex.org/W2117926105","https://openalex.org/W2137922584","https://openalex.org/W2149742919","https://openalex.org/W2159994240","https://openalex.org/W2212333551","https://openalex.org/W2310115715","https://openalex.org/W2472704510","https://openalex.org/W2479531384","https://openalex.org/W2607920352","https://openalex.org/W2608844627","https://openalex.org/W2752848677","https://openalex.org/W2797850201","https://openalex.org/W3024618237","https://openalex.org/W3104516771","https://openalex.org/W3167134426","https://openalex.org/W4214717057","https://openalex.org/W4293101087","https://openalex.org/W4294265931"],"related_works":["https://openalex.org/W2952819168","https://openalex.org/W1822333417","https://openalex.org/W2158582466","https://openalex.org/W2076771790","https://openalex.org/W3105194265","https://openalex.org/W599820626","https://openalex.org/W2125081029","https://openalex.org/W47721382","https://openalex.org/W9152652","https://openalex.org/W4385486246"],"abstract_inverted_index":{"The":[0,62,107,206],"paper":[1],"is":[2,26,77,112,182],"concerned":[3],"with":[4,18,43,95],"using":[5,135],"boundary":[6],"element":[7],"methods":[8],"(BEM)":[9],"for":[10,159,184,213],"the":[11,23,50,57,86,89,102,105,120,124,126,136,142,145,151,154,167,171,179,190,204],"accurate":[12],"evaluation":[13],"of":[14,59,64,75,88,91,104,109,123,129,144,153,203],"fields":[15],"in":[16,166,176,222],"structures":[17],"clusters.":[19,205],"For":[20],"large-scale":[21],"problems,":[22],"BEM":[24],"system":[25],"solved":[27],"iteratively":[28],"by":[29,34,70,79,114,134,170,194],"speeding":[30],"up":[31],"matrix-to-vector":[32],"multiplications":[33],"applying":[35],"a":[36,163,225],"kernel-independent":[37],"fast":[38],"multipole":[39],"method.":[40],"Multiplication":[41],"starts":[42],"source-to-multipole":[44],"(S2M)":[45],"translations,":[46,215],"whose":[47,83],"accuracy":[48,58,108,168],"predefines":[49],"overall":[51],"accuracy.":[52],"We":[53],"aim":[54],"to":[55,119,140,201],"increase":[56,165],"these":[60],"translations.":[61,174],"intensities":[63,90],"sources":[65],"are":[66],"assembled":[67],"into":[68],"clusters":[69],"an":[71],"algorithm":[72],"suggested.":[73],"Each":[74],"them":[76,177],"characterized":[78],"its":[80,98,130],"representative":[81,131],"source,":[82,132],"intensity":[84],"equals":[85],"sum":[87],"cluster":[92,125,155],"sources.":[93],"Thus,":[94],"growing":[96],"distance,":[97],"field":[99,103,122,128,152,181],"tends":[100],"toward":[101],"cluster.":[106],"S2M":[110,173,192],"translations":[111,193,208],"increased":[113],"subtracting":[115],"from":[116],"and":[117,133,197],"adding":[118],"far":[121,127],"proposed":[137],"modified":[138,172,191],"kernel":[139],"evaluate":[141],"difference":[143],"fields,":[146],"which":[147],"decreases":[148],"faster":[149],"than":[150],"itself.":[156],"Numerical":[157],"results":[158],"typical":[160],"kernels":[161],"show":[162],"notable":[164],"provided":[169],"Keeping":[175],"merely":[178],"added":[180],"acceptable":[183],"many":[185],"practical":[186],"applications.":[187],"This":[188],"simplifies":[189],"avoiding":[195],"calculation":[196],"storing":[198],"matrices":[199],"specific":[200],"each":[202],"improved":[207],"may":[209],"be":[210],"also":[211],"used":[212],"multipole-to-multipole":[214],"performed":[216],"on":[217],"next,":[218],"after":[219],"leaves,":[220],"levels":[221],"upward":[223],"running":[224],"hierarchical":[226],"tree.":[227]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}
