{"id":"https://openalex.org/W2054947071","doi":"https://doi.org/10.1016/j.camwa.2006.04.008","title":"Application of radial basis functions to linear and nonlinear structural analysis problems","display_name":"Application of radial basis functions to linear and nonlinear structural analysis problems","publication_year":2006,"publication_date":"2006-04-01","ids":{"openalex":"https://openalex.org/W2054947071","doi":"https://doi.org/10.1016/j.camwa.2006.04.008","mag":"2054947071"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2006.04.008","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.camwa.2006.04.008","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085025327","display_name":"Carlos Tiago","orcid":"https://orcid.org/0000-0003-2009-4641"},"institutions":[],"countries":["PT"],"is_corresponding":false,"raw_author_name":"C.M. Tiago","raw_affiliation_strings":["Departamento de Engenharia Civil e Arquitectura/ICIST Instituto Superior T\u00e9cnico, Av Rovisco Pais 1049-001 Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"Departamento de Engenharia Civil e Arquitectura/ICIST Instituto Superior T\u00e9cnico, Av Rovisco Pais 1049-001 Lisboa, Portugal","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089963224","display_name":"Vitor M.A. Leit\u00e3o","orcid":"https://orcid.org/0000-0002-5947-5399"},"institutions":[],"countries":["PT"],"is_corresponding":false,"raw_author_name":"V.M.A. Leit\u00e3o","raw_affiliation_strings":["Departamento de Engenharia Civil e Arquitectura/ICIST Instituto Superior T\u00e9cnico, Av Rovisco Pais 1049-001 Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"Departamento de Engenharia Civil e Arquitectura/ICIST Instituto Superior T\u00e9cnico, Av Rovisco Pais 1049-001 Lisboa, Portugal","institution_ids":[]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3480,"currency":"USD","value_usd":3480,"provenance":"doaj"},"apc_paid":null,"fwci":4.898,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":35,"citation_normalized_percentile":{"value":0.920637,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":92},"biblio":{"volume":"51","issue":"8","first_page":"1311","last_page":"1334"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Fracture Mechanics Modeling and Simulation","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Fracture Mechanics Modeling and Simulation","score":1.0,"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/T12233","display_name":"Seismic Design and Analysis of Underground Structures","score":0.9986,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T12293","display_name":"Statistics and Mechanisms of Embankment Dam Failures","score":0.9979,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/meshfree-methods","display_name":"Meshfree methods","score":0.6317825},{"id":"https://openalex.org/keywords/meshless-methods","display_name":"Meshless Methods","score":0.617858},{"id":"https://openalex.org/keywords/radial-basis-functions","display_name":"Radial Basis Functions","score":0.558348},{"id":"https://openalex.org/keywords/regularized-meshless-method","display_name":"Regularized meshless method","score":0.47416368},{"id":"https://openalex.org/keywords/displacement-field","display_name":"Displacement field","score":0.47031537}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.63618296},{"id":"https://openalex.org/C162835735","wikidata":"https://www.wikidata.org/wiki/Q14866890","display_name":"Meshfree methods","level":3,"score":0.6317825},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.61968166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.58364445},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.5166638},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5006261},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49207658},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4919231},{"id":"https://openalex.org/C177562122","wikidata":"https://www.wikidata.org/wiki/Q7309629","display_name":"Regularized meshless method","level":5,"score":0.47416368},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.47328207},{"id":"https://openalex.org/C29660869","wikidata":"https://www.wikidata.org/wiki/Q5282615","display_name":"Displacement field","level":3,"score":0.47031537},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45002255},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35770994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30301392},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.24638033},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.09086627},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2006.04.008","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2006.04.008","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":30,"referenced_works":["https://openalex.org/W144669444","https://openalex.org/W1552609157","https://openalex.org/W1561837382","https://openalex.org/W1570844572","https://openalex.org/W157996782","https://openalex.org/W1975248355","https://openalex.org/W1977027705","https://openalex.org/W1977042664","https://openalex.org/W2001442636","https://openalex.org/W2008398007","https://openalex.org/W2009602866","https://openalex.org/W2015697821","https://openalex.org/W2018039791","https://openalex.org/W2021969763","https://openalex.org/W2027061588","https://openalex.org/W2038459426","https://openalex.org/W2039401182","https://openalex.org/W2041858377","https://openalex.org/W2046978152","https://openalex.org/W2055528045","https://openalex.org/W2080977367","https://openalex.org/W2095739370","https://openalex.org/W2095769364","https://openalex.org/W2107699930","https://openalex.org/W2113302559","https://openalex.org/W2142136198","https://openalex.org/W2274784095","https://openalex.org/W2725593669","https://openalex.org/W4243991303","https://openalex.org/W8472698"],"related_works":["https://openalex.org/W3021318023","https://openalex.org/W2984212906","https://openalex.org/W2391276610","https://openalex.org/W2362859999","https://openalex.org/W2361624739","https://openalex.org/W2355497163","https://openalex.org/W2089665536","https://openalex.org/W2084117867","https://openalex.org/W2012062214","https://openalex.org/W1975248355"],"abstract_inverted_index":{"The":[0,50,150,273],"basic":[1],"characteristic":[2],"of":[3,41,65,68,74,106,120,130,135,137,155,158,166,172,178,181,184,203,238,244,263],"the":[4,12,20,29,39,63,103,107,111,121,128,133,138,156,173,188,192,210,236,241,261],"techniques":[5,70,83],"generally":[6],"known":[7],"as":[8,78],"meshless":[9,53,69,122],"methods":[10,54],"is":[11,55,60],"attempt":[13,115],"to":[14,18,71,79,88,93,101,116,126,146,227,258,281],"reduce":[15],"or":[16],"even":[17],"eliminate":[19],"need":[21],"for":[22,44,162,269],"a":[23,159,163,179,182,222,245],"discretization":[24],"(at":[25],"least,":[26],"not":[27],"in":[28,38,52,110,143],"way":[30],"normally":[31],"associated":[32],"with":[33],"traditional":[34,94],"finite":[35,95],"element":[36],"techniques)":[37],"context":[40],"numerical":[42],"solutions":[43],"boundary":[45],"and/or":[46],"initial":[47],"value":[48],"problems.":[49,149,232],"interest":[51,167],"relatively":[56,86],"new":[57],"and":[58,91,124,132,190,217,266,284],"this":[59,144,169,199],"why,":[61],"despite":[62],"existence":[64],"various":[66,201],"applications":[67,140],"several":[72,270],"problems":[73,205,239],"mechanics":[75],"(as":[76],"well":[77],"other":[80],"fields),":[81],"these":[82],"are":[84,141,206,256],"still":[85],"unknown":[87],"engineers.":[89],"Furthermore,":[90],"compared":[92],"elements,":[96],"it":[97],"may":[98],"be":[99],"difficult":[100],"understand":[102],"physical":[104],"meaning":[105],"variables":[108],"involved":[109],"formulations.":[112],"As":[113],"an":[114],"clarify":[117],"some":[118],"aspects":[119],"techniques,":[123],"simultaneously":[125],"highlight":[127],"ease":[129,134],"use":[131],"implementation":[136],"algorithms,":[139],"made,":[142],"work,":[145],"structural":[147],"analysis":[148,220,243],"technique":[151],"used":[152,257],"here":[153],"consists":[154],"definition":[157],"global":[160,271],"approximation":[161],"given":[164],"variable":[165],"(in":[168,187],"case,":[170,214],"components":[171],"displacement":[174],"field)":[175],"by":[176],"means":[177],"superposition":[180],"set":[183],"conveniently":[185],"placed":[186],"domain":[189],"on":[191,224,247],"boundary)":[193],"radial":[194],"basis":[195],"functions":[196],"(RBFs).":[197],"In":[198],"work":[200],"types":[202],"one-dimensional":[204],"analyzed,":[207],"ranging":[208],"from":[209],"static":[211,242],"linear":[212,218],"elastic":[213,225,248],"free":[215],"vibration":[216],"stability":[219],"(for":[221],"beam":[223],"foundation),":[226],"physically":[228],"nonlinear":[229],"(damage":[230],"models)":[231],"To":[233],"further":[234],"complement":[235],"range":[237],"analysed,":[240],"plate":[246],"foundation":[249],"was":[250],"also":[251],"addressed.":[252],"Several":[253],"error":[254],"measures":[255],"numerically":[259],"establish":[260],"performance":[262],"both":[264],"symmetric":[265],"nonsymmetric":[267],"approaches":[268],"RBFs.":[272],"results":[274],"obtained":[275],"show":[276],"that":[277],"RBF":[278],"collocation":[279],"leads":[280],"good":[282],"approximations":[283],"very":[285],"high":[286],"convergence":[287],"rates.":[288]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2054947071","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2024-11-26T14:23:03.346189","created_date":"2016-06-24"}