{"id":"https://openalex.org/W2000010374","doi":"https://doi.org/10.1007/s10589-014-9697-1","title":"Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems","display_name":"Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems","publication_year":2014,"publication_date":"2014-09-12","ids":{"openalex":"https://openalex.org/W2000010374","doi":"https://doi.org/10.1007/s10589-014-9697-1","mag":"2000010374"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-014-9697-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-014-9697-1","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5015468469","display_name":"Markus Dihlmann","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Markus A. Dihlmann","raw_affiliation_strings":["Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany","Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Stuttgart, Germany","Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Stuttgart, Germany 70569#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Stuttgart, Germany 70569#TAB#","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073837806","display_name":"Bernard Haasdonk","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Bernard Haasdonk","raw_affiliation_strings":["Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany","Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Stuttgart, Germany","Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Stuttgart, Germany 70569#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute of Applied Analysis and Numerical Simulation, Universit\u00e4t Stuttgart, Stuttgart, Germany 70569#TAB#","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015468469","https://openalex.org/A5073837806"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.0019,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.91390531,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"60","issue":"3","first_page":"753","last_page":"787"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.9972000122070312,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7052746415138245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6832234263420105},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6335973739624023},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6271861791610718},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6248136758804321},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5560334920883179},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5372047424316406},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.5075567960739136},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4884880781173706},{"id":"https://openalex.org/keywords/surrogate-model","display_name":"Surrogate model","score":0.4468902349472046},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.4381105899810791},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4238441288471222}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7052746415138245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6832234263420105},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6335973739624023},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6271861791610718},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6248136758804321},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5560334920883179},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5372047424316406},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5075567960739136},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4884880781173706},{"id":"https://openalex.org/C131675550","wikidata":"https://www.wikidata.org/wiki/Q7646884","display_name":"Surrogate model","level":2,"score":0.4468902349472046},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.4381105899810791},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4238441288471222},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-014-9697-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-014-9697-1","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:60:y:2015:i:3:p:753-787","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-014-9697-1","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W205933319","https://openalex.org/W278553617","https://openalex.org/W1481561290","https://openalex.org/W1486369067","https://openalex.org/W1496270222","https://openalex.org/W1531642969","https://openalex.org/W1547420264","https://openalex.org/W1946380939","https://openalex.org/W1966450732","https://openalex.org/W1976653974","https://openalex.org/W1981745143","https://openalex.org/W1986285001","https://openalex.org/W1990412005","https://openalex.org/W1996568929","https://openalex.org/W2005799932","https://openalex.org/W2010661806","https://openalex.org/W2012386000","https://openalex.org/W2014784776","https://openalex.org/W2020071022","https://openalex.org/W2026990005","https://openalex.org/W2037124131","https://openalex.org/W2044931959","https://openalex.org/W2047591100","https://openalex.org/W2052690618","https://openalex.org/W2055031148","https://openalex.org/W2060637820","https://openalex.org/W2071495667","https://openalex.org/W2085335060","https://openalex.org/W2104225554","https://openalex.org/W2110917150","https://openalex.org/W2119419799","https://openalex.org/W2124236693","https://openalex.org/W2128542194","https://openalex.org/W2130499633","https://openalex.org/W2135957782","https://openalex.org/W2150155680","https://openalex.org/W2155413828","https://openalex.org/W2318120984","https://openalex.org/W2323372081","https://openalex.org/W2333528436","https://openalex.org/W2491155384","https://openalex.org/W2495390820","https://openalex.org/W2542498933","https://openalex.org/W3029645440","https://openalex.org/W4247503934","https://openalex.org/W6631577325"],"related_works":["https://openalex.org/W2080044387","https://openalex.org/W4387842090","https://openalex.org/W2787183806","https://openalex.org/W2771306739","https://openalex.org/W2338031201","https://openalex.org/W2241209627","https://openalex.org/W2786385181","https://openalex.org/W1988696933","https://openalex.org/W2571293944","https://openalex.org/W2377941745"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}