{"id":"https://openalex.org/W2065048624","doi":"https://doi.org/10.1155/2014/932314","title":"Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method","display_name":"Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2065048624","doi":"https://doi.org/10.1155/2014/932314","mag":"2065048624"},"language":"en","primary_location":{"id":"doi:10.1155/2014/932314","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/932314","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/932314.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/932314.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036278775","display_name":"Emir G\u00fcl\u00fcmser","orcid":null},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Emir G\u00fcl\u00fcmser","raw_affiliation_strings":["Department of Computer Engineering, Bilkent University, 06800 Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Bilkent University, 06800 Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017999955","display_name":"U\u011fur G\u00fcd\u00fckbay","orcid":"https://orcid.org/0000-0003-2462-6959"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"U\u011fur G\u00fcd\u00fckbay","raw_affiliation_strings":["Department of Computer Engineering, Bilkent University, 06800 Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Bilkent University, 06800 Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069964619","display_name":"Sinan Filiz","orcid":null},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Sinan Filiz","raw_affiliation_strings":["Department of Mechanical Engineering, Bilkent University, 06800 Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Bilkent University, 06800 Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017999955"],"corresponding_institution_ids":["https://openalex.org/I168864056"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.3618,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64314972,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"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":"Numerical methods in engineering","score":0.9995999932289124,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9980999827384949,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/finite-element-method","display_name":"Finite element method","score":0.84452223777771},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.8113546967506409},{"id":"https://openalex.org/keywords/stiffness-matrix","display_name":"Stiffness matrix","score":0.6643474102020264},{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.5865397453308105},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.5462758541107178},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.5243397355079651},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.5033816695213318},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5033223032951355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4918947219848633},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42159974575042725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4039381146430969},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.21540796756744385},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.12218782305717468},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11082887649536133},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10891455411911011},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.047590672969818115}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.84452223777771},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.8113546967506409},{"id":"https://openalex.org/C14198674","wikidata":"https://www.wikidata.org/wiki/Q3851930","display_name":"Stiffness matrix","level":3,"score":0.6643474102020264},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.5865397453308105},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.5462758541107178},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.5243397355079651},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.5033816695213318},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5033223032951355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4918947219848633},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42159974575042725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4039381146430969},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.21540796756744385},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.12218782305717468},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11082887649536133},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10891455411911011},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.047590672969818115},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2014/932314","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/932314","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/932314.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425306011","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425306011","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:932314","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/932314.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:04a1328dce5b45d28c828b52cd83a0b9","is_oa":true,"landing_page_url":"https://doaj.org/article/04a1328dce5b45d28c828b52cd83a0b9","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,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"},{"id":"pmh:oai:repository.bilkent.edu.tr:11693/26569","is_oa":false,"landing_page_url":"http://hdl.handle.net/11693/26569","pdf_url":null,"source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1155/2014/932314","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/932314","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/932314.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2065048624.pdf","grobid_xml":"https://content.openalex.org/works/W2065048624.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1546464933","https://openalex.org/W2014434868","https://openalex.org/W2041334726","https://openalex.org/W2060988484","https://openalex.org/W2164596140"],"related_works":["https://openalex.org/W1977906733","https://openalex.org/W1567939749","https://openalex.org/W2010821947","https://openalex.org/W4234008889","https://openalex.org/W1573186872","https://openalex.org/W2071722255","https://openalex.org/W4241379036","https://openalex.org/W2352023866","https://openalex.org/W2021654023","https://openalex.org/W4294096282"],"abstract_inverted_index":{"We":[0,37,58],"propose":[1],"a":[2,39,42,82],"fast":[3],"stiffness":[4,15],"matrix":[5],"calculation":[6],"technique":[7],"for":[8],"nonlinear":[9,31,43,61,78,84],"finite":[10,44],"element":[11,45],"method":[12,46],"(FEM).":[13],"Nonlinear":[14],"matrices":[16],"are":[17,23],"constructed":[18],"using":[19,76],"Green-Lagrange":[20],"strains,":[21],"which":[22],"derived":[24],"from":[25,34],"infinitesimal":[26],"strains":[27],"by":[28],"adding":[29],"the":[30,48,54,72],"terms":[32],"discarded":[33],"small":[35],"deformations.":[36],"implemented":[38],"linear":[40],"and":[41,66],"with":[47,63],"same":[49],"material":[50],"properties":[51],"to":[52,81],"examine":[53],"differences":[55],"between":[56],"them.":[57],"verified":[59],"our":[60,77],"formulation":[62],"different":[64],"applications":[65],"achieved":[67],"considerable":[68],"speedups":[69],"in":[70],"solving":[71],"system":[73],"of":[74],"equations":[75],"FEM":[79],"compared":[80],"state-of-the-art":[83],"FEM.":[85]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
