{"id":"https://openalex.org/W2022184472","doi":"https://doi.org/10.1007/s10107-012-0531-1","title":"Risk averse elastic shape optimization with parametrized fine scale geometry","display_name":"Risk averse elastic shape optimization with parametrized fine scale geometry","publication_year":2012,"publication_date":"2012-04-02","ids":{"openalex":"https://openalex.org/W2022184472","doi":"https://doi.org/10.1007/s10107-012-0531-1","mag":"2022184472"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-012-0531-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-012-0531-1","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5048607744","display_name":"Benedict Geihe","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Benedict Geihe","raw_affiliation_strings":["Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Endenicher Allee 60, 53115, Bonn, Germany","Rheinische Friedrich\u2010Wilhelms\u2010Universit\u00e4t, Bonn"],"affiliations":[{"raw_affiliation_string":"Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Endenicher Allee 60, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Rheinische Friedrich\u2010Wilhelms\u2010Universit\u00e4t, Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083454887","display_name":"Martin Lenz","orcid":"https://orcid.org/0000-0002-5394-6874"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Lenz","raw_affiliation_strings":["Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Endenicher Allee 60, 53115, Bonn, Germany","Rheinische Friedrich\u2010Wilhelms\u2010Universit\u00e4t, Bonn"],"affiliations":[{"raw_affiliation_string":"Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Endenicher Allee 60, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Rheinische Friedrich\u2010Wilhelms\u2010Universit\u00e4t, Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063603168","display_name":"Martin Rumpf","orcid":"https://orcid.org/0000-0001-6049-9390"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Rumpf","raw_affiliation_strings":["Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Endenicher Allee 60, 53115, Bonn, Germany","Rheinische Friedrich\u2010Wilhelms\u2010Universit\u00e4t, Bonn"],"affiliations":[{"raw_affiliation_string":"Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universit\u00e4t Bonn, Endenicher Allee 60, 53115, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Rheinische Friedrich\u2010Wilhelms\u2010Universit\u00e4t, Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021741090","display_name":"R\u00fcdiger Schultz","orcid":null},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R\u00fcdiger Schultz","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Duisburg-Essen, Lotharstr. 65, 47057, Duisburg, Germany","Universitat Duisburg-Essen,"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Duisburg-Essen, Lotharstr. 65, 47057, Duisburg, Germany","institution_ids":["https://openalex.org/I62318514"]},{"raw_affiliation_string":"Universitat Duisburg-Essen,","institution_ids":["https://openalex.org/I62318514"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048607744"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.8039,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89537706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"141","issue":"1-2","first_page":"383","last_page":"403"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9995999932289124,"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":0.9995999932289124,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9957000017166138,"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":0.986299991607666,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7023563981056213},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.6845396161079407},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.5808485150337219},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.5076378583908081},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.503527820110321},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4945470988750458},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4347265660762787},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4318521022796631},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.4161449372768402},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3868267834186554},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2745285630226135}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7023563981056213},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.6845396161079407},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.5808485150337219},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.5076378583908081},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.503527820110321},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4945470988750458},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4347265660762787},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4318521022796631},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.4161449372768402},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3868267834186554},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2745285630226135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10107-012-0531-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-012-0531-1","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.186.9722","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.186.9722","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://numod.ins.uni-bonn.de/research/papers/public/GeLeRu10.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.228.8709","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.228.8709","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://numod.ins.uni-bonn.de/research/papers/public/GeLeRu12.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W21432690","https://openalex.org/W160043448","https://openalex.org/W178344362","https://openalex.org/W606413752","https://openalex.org/W1524137286","https://openalex.org/W1554045033","https://openalex.org/W1584280986","https://openalex.org/W1966268934","https://openalex.org/W1970427994","https://openalex.org/W1982739078","https://openalex.org/W1989201748","https://openalex.org/W2003130132","https://openalex.org/W2004679400","https://openalex.org/W2038572388","https://openalex.org/W2048546972","https://openalex.org/W2060709740","https://openalex.org/W2060999372","https://openalex.org/W2065668980","https://openalex.org/W2082582250","https://openalex.org/W2085740870","https://openalex.org/W2086948940","https://openalex.org/W2098130716","https://openalex.org/W2101712703","https://openalex.org/W2123871098","https://openalex.org/W2127923765","https://openalex.org/W2129412583","https://openalex.org/W2135301926","https://openalex.org/W2137439317","https://openalex.org/W2167407723","https://openalex.org/W2493747299","https://openalex.org/W2607928667","https://openalex.org/W3021722416","https://openalex.org/W3029645440","https://openalex.org/W3042462629","https://openalex.org/W3145997355","https://openalex.org/W3208963081","https://openalex.org/W4241610645","https://openalex.org/W4247165901","https://openalex.org/W4251616545","https://openalex.org/W4293183906","https://openalex.org/W4293775970","https://openalex.org/W4300599381","https://openalex.org/W6602268946","https://openalex.org/W6603867535"],"related_works":["https://openalex.org/W4283738289","https://openalex.org/W2532092956","https://openalex.org/W2160374150","https://openalex.org/W2129551638","https://openalex.org/W2062144119","https://openalex.org/W2152231846","https://openalex.org/W2059051965","https://openalex.org/W2203568081","https://openalex.org/W4309830238","https://openalex.org/W2369996138"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
