{"id":"https://openalex.org/W2974791629","doi":"https://doi.org/10.1007/s10915-020-01232-x","title":"POD\u2013Galerkin Model Order Reduction for Parametrized Time Dependent Linear Quadratic Optimal Control Problems in Saddle Point Formulation","display_name":"POD\u2013Galerkin Model Order Reduction for Parametrized Time Dependent Linear Quadratic Optimal Control Problems in Saddle Point Formulation","publication_year":2020,"publication_date":"2020-06-01","ids":{"openalex":"https://openalex.org/W2974791629","doi":"https://doi.org/10.1007/s10915-020-01232-x","mag":"2974791629"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-020-01232-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-020-01232-x","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1909.09631","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085926069","display_name":"Maria Strazzullo","orcid":"https://orcid.org/0000-0003-1245-271X"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Maria Strazzullo","raw_affiliation_strings":["SISSA mathLab, Mathematics Area, International School for Advanced Studies, Via Bonomea 265, 34136, Trieste, Italy","SISSA mathLab, Mathematics Area, International School for Advanced Studies, Trieste, Italy"],"affiliations":[{"raw_affiliation_string":"SISSA mathLab, Mathematics Area, International School for Advanced Studies, Via Bonomea 265, 34136, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]},{"raw_affiliation_string":"SISSA mathLab, Mathematics Area, International School for Advanced Studies, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049081029","display_name":"Francesco Ballarin","orcid":"https://orcid.org/0000-0001-6460-3538"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Ballarin","raw_affiliation_strings":["SISSA mathLab, Mathematics Area, International School for Advanced Studies, Via Bonomea 265, 34136, Trieste, Italy","SISSA mathLab, Mathematics Area, International School for Advanced Studies, Trieste, Italy"],"affiliations":[{"raw_affiliation_string":"SISSA mathLab, Mathematics Area, International School for Advanced Studies, Via Bonomea 265, 34136, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]},{"raw_affiliation_string":"SISSA mathLab, Mathematics Area, International School for Advanced Studies, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061558433","display_name":"Gianluigi Rozza","orcid":"https://orcid.org/0000-0002-0810-8812"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianluigi Rozza","raw_affiliation_strings":["SISSA mathLab, Mathematics Area, International School for Advanced Studies, Via Bonomea 265, 34136, Trieste, Italy","SISSA mathLab, Mathematics Area, International School for Advanced Studies, Trieste, Italy"],"affiliations":[{"raw_affiliation_string":"SISSA mathLab, Mathematics Area, International School for Advanced Studies, Via Bonomea 265, 34136, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]},{"raw_affiliation_string":"SISSA mathLab, Mathematics Area, International School for Advanced Studies, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085926069"],"corresponding_institution_ids":["https://openalex.org/I138549579"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01174363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"83","issue":"3","first_page":null,"last_page":null},"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":0.9993000030517578,"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":0.9991999864578247,"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/saddle-point","display_name":"Saddle point","score":0.7315514087677002},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7200573086738586},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.7144711017608643},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.644292414188385},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5794582366943359},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.5508602857589722},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5061301589012146},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4786716401576996},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4755546748638153},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46835818886756897},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.42052870988845825},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24644583463668823},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2044558823108673},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11468204855918884},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.104206383228302},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07124945521354675}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7315514087677002},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7200573086738586},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.7144711017608643},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.644292414188385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5794582366943359},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.5508602857589722},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5061301589012146},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4786716401576996},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4755546748638153},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46835818886756897},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.42052870988845825},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24644583463668823},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2044558823108673},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11468204855918884},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.104206383228302},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07124945521354675},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10915-020-01232-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-020-01232-x","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1909.09631","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.09631","pdf_url":"https://arxiv.org/pdf/1909.09631","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2974791629","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1909.09631","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1909.09631","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1909.09631","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1909.09631","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.09631","pdf_url":"https://arxiv.org/pdf/1909.09631","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W73123583","https://openalex.org/W592911714","https://openalex.org/W1516415680","https://openalex.org/W1555557982","https://openalex.org/W1580724525","https://openalex.org/W1600371943","https://openalex.org/W1604333309","https://openalex.org/W1735823337","https://openalex.org/W1792403156","https://openalex.org/W1820125862","https://openalex.org/W1966886095","https://openalex.org/W1967011851","https://openalex.org/W1978399516","https://openalex.org/W1980637469","https://openalex.org/W2005586154","https://openalex.org/W2010619938","https://openalex.org/W2012386000","https://openalex.org/W2015148405","https://openalex.org/W2020060524","https://openalex.org/W2022977680","https://openalex.org/W2025692268","https://openalex.org/W2026879749","https://openalex.org/W2038695002","https://openalex.org/W2047133076","https://openalex.org/W2047591100","https://openalex.org/W2052690618","https://openalex.org/W2088638050","https://openalex.org/W2093049475","https://openalex.org/W2096345667","https://openalex.org/W2097652335","https://openalex.org/W2102753028","https://openalex.org/W2110305719","https://openalex.org/W2114235273","https://openalex.org/W2115291951","https://openalex.org/W2122166233","https://openalex.org/W2128702576","https://openalex.org/W2130499633","https://openalex.org/W2131341924","https://openalex.org/W2133041109","https://openalex.org/W2139953411","https://openalex.org/W2140820418","https://openalex.org/W2141870784","https://openalex.org/W2155413828","https://openalex.org/W2156126658","https://openalex.org/W2160413789","https://openalex.org/W2244435620","https://openalex.org/W2254664843","https://openalex.org/W2340065481","https://openalex.org/W2488897645","https://openalex.org/W2488917107","https://openalex.org/W2561770886","https://openalex.org/W2596400235","https://openalex.org/W2752626032","https://openalex.org/W2752973017","https://openalex.org/W2963340469","https://openalex.org/W2996420704","https://openalex.org/W3017084531","https://openalex.org/W3165126898","https://openalex.org/W4236632459","https://openalex.org/W4245654886","https://openalex.org/W4298228534","https://openalex.org/W6601103585","https://openalex.org/W6631577325","https://openalex.org/W6757735866"],"related_works":["https://openalex.org/W3012617434","https://openalex.org/W3210728045","https://openalex.org/W2010334931","https://openalex.org/W2245418780","https://openalex.org/W3027732438","https://openalex.org/W2754720210","https://openalex.org/W2037822977","https://openalex.org/W2139904044","https://openalex.org/W2129670964","https://openalex.org/W108355476","https://openalex.org/W1920058099","https://openalex.org/W2170276504","https://openalex.org/W3027320651","https://openalex.org/W3207666361","https://openalex.org/W3033575545","https://openalex.org/W2431996666","https://openalex.org/W2557521062","https://openalex.org/W2996964001","https://openalex.org/W3038064391","https://openalex.org/W1995338506"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}