{"id":"https://openalex.org/W4411696733","doi":"https://doi.org/10.3390/computation13070153","title":"A New Approach to Topology Optimization with Genetic Algorithm and Parameterization Level Set Function","display_name":"A New Approach to Topology Optimization with Genetic Algorithm and Parameterization Level Set Function","publication_year":2025,"publication_date":"2025-06-26","ids":{"openalex":"https://openalex.org/W4411696733","doi":"https://doi.org/10.3390/computation13070153"},"language":"en","primary_location":{"id":"doi:10.3390/computation13070153","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13070153","pdf_url":"https://www.mdpi.com/2079-3197/13/7/153/pdf?version=1750933078","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/13/7/153/pdf?version=1750933078","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009910729","display_name":"Igor Pehnec","orcid":"https://orcid.org/0000-0002-7435-6654"},"institutions":[{"id":"https://openalex.org/I92251255","display_name":"University of Split","ror":"https://ror.org/00m31ft63","country_code":"HR","type":"education","lineage":["https://openalex.org/I92251255"]}],"countries":["HR"],"is_corresponding":true,"raw_author_name":"Igor Pehnec","raw_affiliation_strings":["Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudjera Boskovica 32, 21000 Split, Croatia"],"raw_orcid":"https://orcid.org/0000-0002-7435-6654","affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudjera Boskovica 32, 21000 Split, Croatia","institution_ids":["https://openalex.org/I92251255"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041434882","display_name":"Damir Sedlar","orcid":"https://orcid.org/0000-0003-1811-8851"},"institutions":[{"id":"https://openalex.org/I92251255","display_name":"University of Split","ror":"https://ror.org/00m31ft63","country_code":"HR","type":"education","lineage":["https://openalex.org/I92251255"]}],"countries":["HR"],"is_corresponding":true,"raw_author_name":"Damir Sedlar","raw_affiliation_strings":["Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudjera Boskovica 32, 21000 Split, Croatia"],"raw_orcid":"https://orcid.org/0000-0003-1811-8851","affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudjera Boskovica 32, 21000 Split, Croatia","institution_ids":["https://openalex.org/I92251255"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009516036","display_name":"Ivo Marini\u0107-Kragi\u0107","orcid":"https://orcid.org/0000-0002-9680-6193"},"institutions":[{"id":"https://openalex.org/I92251255","display_name":"University of Split","ror":"https://ror.org/00m31ft63","country_code":"HR","type":"education","lineage":["https://openalex.org/I92251255"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Ivo Marinic-Kragic","raw_affiliation_strings":["Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudjera Boskovica 32, 21000 Split, Croatia"],"raw_orcid":"https://orcid.org/0000-0002-9680-6193","affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudjera Boskovica 32, 21000 Split, Croatia","institution_ids":["https://openalex.org/I92251255"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028276397","display_name":"Damir Vu\u010dina","orcid":"https://orcid.org/0000-0003-2003-5481"},"institutions":[{"id":"https://openalex.org/I92251255","display_name":"University of Split","ror":"https://ror.org/00m31ft63","country_code":"HR","type":"education","lineage":["https://openalex.org/I92251255"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Damir Vu\u010dina","raw_affiliation_strings":["Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudjera Boskovica 32, 21000 Split, Croatia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Rudjera Boskovica 32, 21000 Split, Croatia","institution_ids":["https://openalex.org/I92251255"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009910729","https://openalex.org/A5041434882"],"corresponding_institution_ids":["https://openalex.org/I92251255"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.552,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.88801988,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"13","issue":"7","first_page":"153","last_page":"153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9998999834060669,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.979200005531311,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9635999798774719,"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/topology-optimization","display_name":"Topology optimization","score":0.6492615938186646},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6003292798995972},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5365602374076843},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.52604079246521},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5103816390037537},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49942588806152344},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.4968307316303253},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4152980446815491},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.4127545952796936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3574400544166565},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1642073392868042},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09190258383750916},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08772614598274231},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.05045682191848755}],"concepts":[{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.6492615938186646},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6003292798995972},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5365602374076843},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.52604079246521},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5103816390037537},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49942588806152344},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.4968307316303253},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4152980446815491},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.4127545952796936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3574400544166565},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1642073392868042},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09190258383750916},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08772614598274231},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05045682191848755},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation13070153","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13070153","pdf_url":"https://www.mdpi.com/2079-3197/13/7/153/pdf?version=1750933078","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b15c2c106883425fa8274b0d23a4104e","is_oa":true,"landing_page_url":"https://doaj.org/article/b15c2c106883425fa8274b0d23a4104e","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 13, Iss 7, p 153 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation13070153","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13070153","pdf_url":"https://www.mdpi.com/2079-3197/13/7/153/pdf?version=1750933078","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3794689140","display_name":null,"funder_award_id":"HRZZ-IP-2022-10-8856","funder_id":"https://openalex.org/F4320322674","funder_display_name":"Hrvatska Zaklada za Znanost"},{"id":"https://openalex.org/G5484467156","display_name":null,"funder_award_id":"IP-2022-10-8856","funder_id":"https://openalex.org/F4320322674","funder_display_name":"Hrvatska Zaklada za Znanost"}],"funders":[{"id":"https://openalex.org/F4320322674","display_name":"Hrvatska Zaklada za Znanost","ror":"https://ror.org/03n51vw80"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411696733.pdf","grobid_xml":"https://content.openalex.org/works/W4411696733.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W54804959","https://openalex.org/W1989561283","https://openalex.org/W1991113069","https://openalex.org/W1994875376","https://openalex.org/W1995233963","https://openalex.org/W2016413885","https://openalex.org/W2020003164","https://openalex.org/W2024127739","https://openalex.org/W2056802356","https://openalex.org/W2059516561","https://openalex.org/W2062040981","https://openalex.org/W2078741390","https://openalex.org/W2089886158","https://openalex.org/W2093834886","https://openalex.org/W2095216523","https://openalex.org/W2110332999","https://openalex.org/W2132034927","https://openalex.org/W2134379651","https://openalex.org/W2137726847","https://openalex.org/W2141377530","https://openalex.org/W2966495837","https://openalex.org/W3127032891","https://openalex.org/W4245528402","https://openalex.org/W4308442047","https://openalex.org/W4367055380","https://openalex.org/W4384129336","https://openalex.org/W4391755702","https://openalex.org/W4405938810","https://openalex.org/W4406186063","https://openalex.org/W6673129395","https://openalex.org/W6676440204","https://openalex.org/W6846269682"],"related_works":["https://openalex.org/W2046491619","https://openalex.org/W2389142552","https://openalex.org/W2239929624","https://openalex.org/W2883804989","https://openalex.org/W1974803732","https://openalex.org/W2081304691","https://openalex.org/W2127556255","https://openalex.org/W3018492858","https://openalex.org/W279903623","https://openalex.org/W2790144624"],"abstract_inverted_index":{"In":[0,193],"this":[1,271],"paper,":[2],"a":[3,25,123,150,174,181,203,246,309],"new":[4,151],"approach":[5,273],"to":[6,95,131,186,268,285],"topology":[7,68,115,147,211],"optimization":[8,18,69,90,116,148,171,212,290],"using":[9,79,300,308],"the":[10,30,35,38,43,47,52,59,67,80,86,102,110,133,139,145,161,168,183,197,224,228,242,262,294,301,322],"parameterized":[11],"level":[12,31,53,73,215],"set":[13,32,54,74],"function":[14,33,55,201],"and":[15,141,190,227,235,259,319,331],"genetic":[16,124,152,169,302],"algorithm":[17,125,153,170],"methods":[19,63,91,213,230],"is":[20,76,240,245,266],"presented.":[21],"The":[22,71,113,237,317],"impact":[23],"of":[24,27,37,49,61,88,144,205,261,281,321],"number":[26,48],"parameters":[28],"describing":[29,51],"in":[34,66,98,119,256,279],"representation":[36],"model":[39],"was":[40,56,156],"examined.":[41],"Using":[42],"B-spline":[44],"interpolation":[45],"function,":[46],"variables":[50],"decreased,":[57],"enabling":[58,129],"application":[60,318],"evolutionary":[62,272],"(genetic":[64],"algorithms)":[65],"process.":[70],"traditional":[72,229],"method":[75,184,198,226,244,312,323],"performed":[77],"by":[78],"Hamilton\u2013Jacobi":[81],"transport":[82],"equation,":[83],"which":[84],"implies":[85],"use":[87],"gradient":[89],"that":[92,217,241,270],"are":[93,106],"prone":[94],"becoming":[96],"stuck":[97],"local":[99,257,289,311],"minima.":[100],"Furthermore,":[101],"resulting":[103],"optimal":[104],"shapes":[105],"strongly":[107],"dependent":[108],"on":[109,219,326],"initial":[111,207,221,263],"solution.":[112,175,264],"proposed":[114,146,225,243],"procedure,":[117],"written":[118],"MATLAB":[120],"R2013b,":[121],"utilizes":[122],"for":[126,209],"global":[127,134,247,295],"optimization,":[128],"it":[130,252],"locate":[132],"optimum":[135,296],"efficiently.":[136],"To":[137],"assess":[138],"acceleration":[140],"convergence":[142,163,188,282,304],"capabilities":[143],"method,":[149],"penalty":[154],"operator":[155,159],"tested.":[157],"This":[158,250],"addresses":[160],"slow":[162],"issue":[164],"typically":[165],"encountered":[166],"when":[167],"procedure":[172],"nears":[173],"By":[176],"penalizing":[177],"similar":[178],"individuals":[179],"within":[180],"population,":[182],"aims":[185],"enhance":[187],"speed":[189,283],"overall":[191],"performance.":[192],"complex":[194],"examples":[195],"(3D),":[196],"can":[199,305],"also":[200],"as":[202,314],"generator":[204],"good":[206],"solutions":[208],"faster":[210,310],"(e.g.,":[214],"set)":[216],"rely":[218],"such":[220,313],"solutions.":[222],"Both":[223],"have":[231],"their":[232],"own":[233],"advantages":[234],"limitations.":[236],"main":[238],"advantage":[239],"search":[248],"method.":[249],"makes":[251],"robust":[253],"against":[254],"entrapment":[255],"minima":[258],"independent":[260],"It":[265],"important":[267],"note":[269],"does":[274],"not":[275],"necessarily":[276],"perform":[277],"better":[278],"terms":[280],"compared":[284],"gradient-based":[286,315],"or":[287],"other":[288],"methods.":[291],"However,":[292],"once":[293],"has":[297],"been":[298],"found":[299],"algorithm,":[303],"be":[306],"accelerated":[307],"optimization.":[316],"usefulness":[320],"were":[324],"tested":[325],"typical":[327],"2D":[328],"cantilever":[329],"beams":[330],"Michell":[332],"beams.":[333]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
