{"id":"https://openalex.org/W1986176803","doi":"https://doi.org/10.1016/j.compstruc.2004.07.011","title":"Moving least squares response surface approximation: Formulation and metal forming applications","display_name":"Moving least squares response surface approximation: Formulation and metal forming applications","publication_year":2005,"publication_date":"2005-03-05","ids":{"openalex":"https://openalex.org/W1986176803","doi":"https://doi.org/10.1016/j.compstruc.2004.07.011","mag":"1986176803"},"language":"en","primary_location":{"id":"doi:10.1016/j.compstruc.2004.07.011","doi":"https://doi.org/10.1016/j.compstruc.2004.07.011","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.compstruc.2004.07.011","pdf_url":null,"source":{"id":"https://openalex.org/S111482492","display_name":"Computers & Structures","issn_l":"0045-7949","issn":["0045-7949","1879-2243"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Structures","raw_type":"journal-article"},"volume":null,"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/A5003932715","display_name":"Piotr Breitkopf","orcid":"https://orcid.org/0000-0002-3842-6520","observed_orcids":["https://orcid.org/0000-0002-3842-6520"]},"institutions":[{"id":"https://openalex.org/I102516824","display_name":"Universit\u00e9 de Technologie de Compi\u00e8gne","ror":"https://ror.org/04y5kwa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I102516824"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210112165","display_name":"Laboratoire Roberval","ror":"https://ror.org/023ffhx15","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210112165"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Piotr Breitkopf","raw_affiliation_strings":["Laboratoire de M\u00e9canique Roberval UMR 6066 UTC-CNRS, Universit\u00e9 de Technologie de Compi\u00e8gne, BP 20529, Compi\u00e8gne 60206, France","Roberval"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9canique Roberval UMR 6066 UTC-CNRS, Universit\u00e9 de Technologie de Compi\u00e8gne, BP 20529, Compi\u00e8gne 60206, France","institution_ids":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I4210112165"]},{"raw_affiliation_string":"Roberval","institution_ids":["https://openalex.org/I4210112165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039591835","display_name":"Hakim Naceur","orcid":"https://orcid.org/0000-0003-0555-1680","observed_orcids":["https://orcid.org/0000-0003-0555-1680"]},"institutions":[{"id":"https://openalex.org/I102516824","display_name":"Universit\u00e9 de Technologie de Compi\u00e8gne","ror":"https://ror.org/04y5kwa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I102516824"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210089617","display_name":"Laboratoire d'Automatique, de M\u00e9canique et d'Informatique Industrielles et Humaines","ror":"https://ror.org/006z7v557","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210089617","https://openalex.org/I4210159245","https://openalex.org/I4387154098","https://openalex.org/I70348806"]},{"id":"https://openalex.org/I4210112165","display_name":"Laboratoire Roberval","ror":"https://ror.org/023ffhx15","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210112165"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hakim Naceur","raw_affiliation_strings":["Laboratoire de M\u00e9canique Roberval UMR 6066 UTC-CNRS, Universit\u00e9 de Technologie de Compi\u00e8gne, BP 20529, Compi\u00e8gne 60206, France","Laboratoire d'Automatique, de M\u00e9canique et d'Informatique industrielles et Humaines - UMR 8201","Roberval"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9canique Roberval UMR 6066 UTC-CNRS, Universit\u00e9 de Technologie de Compi\u00e8gne, BP 20529, Compi\u00e8gne 60206, France","institution_ids":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I4210112165"]},{"raw_affiliation_string":"Laboratoire d'Automatique, de M\u00e9canique et d'Informatique industrielles et Humaines - UMR 8201","institution_ids":["https://openalex.org/I4210089617"]},{"raw_affiliation_string":"Roberval","institution_ids":["https://openalex.org/I4210112165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112711642","display_name":"Alain Rassineux","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I102516824","display_name":"Universit\u00e9 de Technologie de Compi\u00e8gne","ror":"https://ror.org/04y5kwa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I102516824"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210112165","display_name":"Laboratoire Roberval","ror":"https://ror.org/023ffhx15","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210112165"]},{"id":"https://openalex.org/I4405264217","display_name":"Universit\u00e9 Henri Poincar\u00e9","ror":"https://ror.org/019wrwh65","country_code":"FR","type":"education","lineage":["https://openalex.org/I4405264217","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alain Rassineux","raw_affiliation_strings":["Laboratoire de M\u00e9canique Roberval UMR 6066 UTC-CNRS, Universit\u00e9 de Technologie de Compi\u00e8gne, BP 20529, Compi\u00e8gne 60206, France","Roberval","Universit\u00e9 Henri Poincar\u00e9 - Nancy 1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9canique Roberval UMR 6066 UTC-CNRS, Universit\u00e9 de Technologie de Compi\u00e8gne, BP 20529, Compi\u00e8gne 60206, France","institution_ids":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I4210112165"]},{"raw_affiliation_string":"Roberval","institution_ids":["https://openalex.org/I4210112165"]},{"raw_affiliation_string":"Universit\u00e9 Henri Poincar\u00e9 - Nancy 1","institution_ids":["https://openalex.org/I4405264217"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105885283","display_name":"Pierre Villon","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I102516824","display_name":"Universit\u00e9 de Technologie de Compi\u00e8gne","ror":"https://ror.org/04y5kwa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I102516824"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210112165","display_name":"Laboratoire Roberval","ror":"https://ror.org/023ffhx15","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210112165"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Villon","raw_affiliation_strings":["Laboratoire de M\u00e9canique Roberval UMR 6066 UTC-CNRS, Universit\u00e9 de Technologie de Compi\u00e8gne, BP 20529, Compi\u00e8gne 60206, France","Roberval"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9canique Roberval UMR 6066 UTC-CNRS, Universit\u00e9 de Technologie de Compi\u00e8gne, BP 20529, Compi\u00e8gne 60206, France","institution_ids":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I4210112165"]},{"raw_affiliation_string":"Roberval","institution_ids":["https://openalex.org/I4210112165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5003932715"],"corresponding_institution_ids":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I4210112165"],"apc_list":{"value":4200,"currency":"USD","value_usd":4200},"apc_paid":null,"fwci":3.7582,"has_fulltext":false,"cited_by_count":206,"citation_normalized_percentile":{"value":0.93252828,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"83","issue":"17-18","first_page":"1411","last_page":"1428"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9717000126838684,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9717000126838684,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.010300000198185444,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.007899999618530273,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/moving-least-squares","display_name":"moving least squares","score":0.9459999799728394},{"id":"https://openalex.org/keywords/response-surface-approximation","display_name":"response surface approximation","score":0.921999990940094},{"id":"https://openalex.org/keywords/pattern-search","display_name":"pattern search","score":0.7670000195503235},{"id":"https://openalex.org/keywords/surrogate-modeling","display_name":"surrogate models","score":0.5329999923706055},{"id":"https://openalex.org/keywords/sheet-metal-forming","display_name":"sheet metal forming","score":0.7919999957084656},{"id":"https://openalex.org/keywords/inversion-method","display_name":"inverse method","score":0.45100000500679016},{"id":"https://openalex.org/keywords/design-optimization","display_name":"design optimization","score":0.7310000061988831},{"id":"https://openalex.org/keywords/stamping","display_name":"stamping","score":0.5070000290870667},{"id":"https://openalex.org/keywords/explicit-dynamic-analysis","display_name":"explicit dynamic analysis","score":0.6520000100135803}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.694725513458252},{"id":"https://openalex.org/C2780580100","wikidata":"https://www.wikidata.org/wiki/Q6927143","display_name":"Moving least squares","level":2,"score":0.5670562386512756},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5664792656898499},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5343543291091919},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5300079584121704},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5276680588722229},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4657505452632904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4645296037197113},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4330807328224182},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4277183711528778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42016810178756714},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27330195903778076},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11071768403053284},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08400788903236389},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.compstruc.2004.07.011","doi":"https://doi.org/10.1016/j.compstruc.2004.07.011","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.compstruc.2004.07.011","pdf_url":null,"source":{"id":"https://openalex.org/S111482492","display_name":"Computers & Structures","issn_l":"0045-7949","issn":["0045-7949","1879-2243"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Structures","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01994257v1","doi":null,"is_oa":false,"landing_page_url":"https://utc.hal.science/hal-01994257","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computers & Structures, 2005, 83 (17-18), pp.1411-1428. ⟨10.1016/j.compstruc.2004.07.011⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-02271021v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02271021","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0045-7949","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/11","score":0.7300000190734863,"display_name":"Sustainable cities and communities"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W115414222","https://openalex.org/W151777208","https://openalex.org/W418302028","https://openalex.org/W1537384552","https://openalex.org/W1982087768","https://openalex.org/W2003482000","https://openalex.org/W2009107370","https://openalex.org/W2013118988","https://openalex.org/W2013879516","https://openalex.org/W2014365200","https://openalex.org/W2044771513","https://openalex.org/W2057695324","https://openalex.org/W2067293141","https://openalex.org/W2068719041","https://openalex.org/W2092781360","https://openalex.org/W2094232629","https://openalex.org/W2095130785","https://openalex.org/W2112975980","https://openalex.org/W2146374844","https://openalex.org/W2162762532","https://openalex.org/W2165168060","https://openalex.org/W4285719527","https://openalex.org/W6757786153"],"related_works":["https://openalex.org/W1991688655","https://openalex.org/W2372558617","https://openalex.org/W2765325714","https://openalex.org/W2094510637","https://openalex.org/W2068480755","https://openalex.org/W318735075","https://openalex.org/W2743969637","https://openalex.org/W2070727579","https://openalex.org/W304801059","https://openalex.org/W1984910745"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":20},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":24},{"year":2012,"cited_by_count":18}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}