{"id":"https://openalex.org/W2062453246","doi":"https://doi.org/10.1080/00207160903365891","title":"Greedy algorithms for eigenvalue optimization problems in shape design of two-density inhomogeneous materials","display_name":"Greedy algorithms for eigenvalue optimization problems in shape design of two-density inhomogeneous materials","publication_year":2010,"publication_date":"2010-11-27","ids":{"openalex":"https://openalex.org/W2062453246","doi":"https://doi.org/10.1080/00207160903365891","mag":"2062453246"},"language":"en","primary_location":{"id":"doi:10.1080/00207160903365891","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160903365891","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064965997","display_name":"Zhengfang Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng-Fang Zhang","raw_affiliation_strings":["Department of Mathematics , Zhejiang University , Hangzhou, 310027, China","Dept. of Mathematics, Zhejiang Univ., Hangzhou, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Zhejiang University , Hangzhou, 310027, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Dept. of Mathematics, Zhejiang Univ., Hangzhou, China#TAB#","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065416248","display_name":"Kewei Liang","orcid":"https://orcid.org/0000-0002-3837-6439"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ke-Wei Liang","raw_affiliation_strings":["Department of Mathematics , Zhejiang University , Hangzhou, 310027, China","Dept. of Mathematics, Zhejiang Univ., Hangzhou, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Zhejiang University , Hangzhou, 310027, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Dept. of Mathematics, Zhejiang Univ., Hangzhou, China#TAB#","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074670845","display_name":"Xiaoliang Cheng","orcid":"https://orcid.org/0000-0002-3110-8052"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Liang Cheng","raw_affiliation_strings":["Department of Mathematics , Zhejiang University , Hangzhou, 310027, China","Dept. of Mathematics, Zhejiang Univ., Hangzhou, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Zhejiang University , Hangzhou, 310027, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Dept. of Mathematics, Zhejiang Univ., Hangzhou, China#TAB#","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065416248"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":2.601,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8941337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"88","issue":"1","first_page":"183","last_page":"195"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9983000159263611,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9961000084877014,"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/discretization","display_name":"Discretization","score":0.7346396446228027},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6853989958763123},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.643901526927948},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6157773733139038},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6096809506416321},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.6034570336341858},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5936189293861389},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.5726931095123291},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47709470987319946},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1400943100452423},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1338607370853424}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7346396446228027},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6853989958763123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.643901526927948},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6157773733139038},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6096809506416321},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.6034570336341858},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5936189293861389},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.5726931095123291},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47709470987319946},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1400943100452423},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1338607370853424},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160903365891","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160903365891","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W21432690","https://openalex.org/W566531027","https://openalex.org/W1974953807","https://openalex.org/W1982604350","https://openalex.org/W1991113069","https://openalex.org/W2040489448","https://openalex.org/W2041534430","https://openalex.org/W2090405086","https://openalex.org/W2103559027","https://openalex.org/W2127450210","https://openalex.org/W2132363464","https://openalex.org/W2166325531","https://openalex.org/W2181453853","https://openalex.org/W4245528402"],"related_works":["https://openalex.org/W4387497383","https://openalex.org/W3183948672","https://openalex.org/W3173606202","https://openalex.org/W3110381201","https://openalex.org/W2948807893","https://openalex.org/W2935909890","https://openalex.org/W2778153218","https://openalex.org/W2758277628","https://openalex.org/W1531601525","https://openalex.org/W2006251942"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,8,12,33,36,48,56,60,64,69,72,76,80,83,86,92,95,99,103,109,112,114,120,131,150],"eigenvalue":[4,49],"optimization":[5,26],"problems":[6,27],"in":[7,28],"shape":[9],"design":[10],"of":[11,18,47,55,71,111,119],"two-density":[13],"inhomogeneous":[14],"materials.":[15],"Two":[16],"types":[17],"greedy":[19,133],"algorithms":[20,134],"are":[21,135,146],"proposed":[22,136],"to":[23,62,75,108,137,148],"solve":[24],"three":[25],"finite":[29],"element":[30,74],"discretization.":[31],"In":[32,91],"first":[34],"type,":[35,94],"whole":[37],"domain":[38],"is":[39,59,89],"initialized":[40],"by":[41],"one":[42],"density.":[43,78],"For":[44],"each":[45,128],"problem":[46],"optimizations,":[50],"we":[51],"define":[52],"a":[53,117],"measurement":[54,110],"element,":[57,113],"which":[58],"criterion":[61],"determine":[63],"\u2018best\u2019":[65,73,121],"element.":[66],"We":[67],"change":[68],"density":[70,100],"other":[77],"Then":[79],"algorithm":[81,96,115],"repeats":[82],"procedure":[84],"until":[85],"area":[87,104],"constraint":[88],"satisfied.":[90],"second":[93],"begins":[97],"with":[98],"distribution":[101],"satisfying":[102],"constraint.":[105],"Also,":[106],"according":[107],"finds":[116],"pair":[118],"elements":[122],"and":[123],"exchanges":[124],"their":[125],"densities":[126],"between":[127],"other.":[129],"Furthermore,":[130],"accelerating":[132],"speed":[138],"up":[139],"both":[140],"two":[141],"types.":[142],"Three":[143],"numerical":[144],"examples":[145],"provided":[147],"illustrate":[149],"results.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}