{"id":"https://openalex.org/W2010406667","doi":"https://doi.org/10.1007/s11075-006-9026-6","title":"PDE-constrained control using Femlab \u2013 Control of the Navier\u2013Stokes equations","display_name":"PDE-constrained control using Femlab \u2013 Control of the Navier\u2013Stokes equations","publication_year":2006,"publication_date":"2006-06-01","ids":{"openalex":"https://openalex.org/W2010406667","doi":"https://doi.org/10.1007/s11075-006-9026-6","mag":"2010406667"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-006-9026-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-006-9026-6","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5002842477","display_name":"Thomas Slawig","orcid":"https://orcid.org/0000-0002-1266-3181"},"institutions":[{"id":"https://openalex.org/I4210166048","display_name":"Gesellschaft Fur Mathematik Und Datenverarbeitung","ror":"https://ror.org/02g6d4t03","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210166048"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Thomas Slawig","raw_affiliation_strings":["TU Berlin, Institut f. Mathematik, Strasse des 17. Juni 136 MA 4\u20135, 10623, Berlin, Germany","Institut f. Mathematik"],"affiliations":[{"raw_affiliation_string":"TU Berlin, Institut f. Mathematik, Strasse des 17. Juni 136 MA 4\u20135, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Institut f. Mathematik","institution_ids":["https://openalex.org/I4210166048"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002842477"],"corresponding_institution_ids":["https://openalex.org/I4210166048","https://openalex.org/I4577782"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9187,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.78652564,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"42","issue":"2","first_page":"107","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.8133999705314636,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10791","display_name":"Advanced Control Systems Optimization","score":0.8133999705314636,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.7821999788284302,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.75,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7428497076034546},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6579315066337585},{"id":"https://openalex.org/keywords/adjoint-equation","display_name":"Adjoint equation","score":0.6242841482162476},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6051919460296631},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5923327207565308},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5143131017684937},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.4740854501724243},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4699692130088806},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43162980675697327},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3680320978164673},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34297695755958557},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.12017720937728882},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12000051140785217},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08986786007881165},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.07178208231925964}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7428497076034546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6579315066337585},{"id":"https://openalex.org/C165551260","wikidata":"https://www.wikidata.org/wiki/Q4428962","display_name":"Adjoint equation","level":3,"score":0.6242841482162476},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6051919460296631},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5923327207565308},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5143131017684937},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.4740854501724243},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4699692130088806},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43162980675697327},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3680320978164673},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34297695755958557},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.12017720937728882},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12000051140785217},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08986786007881165},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.07178208231925964}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-006-9026-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-006-9026-6","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W641353478","https://openalex.org/W964665172","https://openalex.org/W1510510199","https://openalex.org/W1658203550","https://openalex.org/W1661794251","https://openalex.org/W1674659126","https://openalex.org/W1973254632","https://openalex.org/W1986476868","https://openalex.org/W2019761609","https://openalex.org/W2022977680","https://openalex.org/W2039898457","https://openalex.org/W2049524512","https://openalex.org/W2104242880","https://openalex.org/W2138026757","https://openalex.org/W2477040106","https://openalex.org/W2607928667","https://openalex.org/W3029645440","https://openalex.org/W4250533253","https://openalex.org/W4252104256","https://openalex.org/W4293775970","https://openalex.org/W4298228534","https://openalex.org/W4387850573"],"related_works":["https://openalex.org/W3048332761","https://openalex.org/W2001283893","https://openalex.org/W2032860538","https://openalex.org/W4210646296","https://openalex.org/W2069436786","https://openalex.org/W2053079725","https://openalex.org/W2001500949","https://openalex.org/W2065518442","https://openalex.org/W4362554031","https://openalex.org/W93614833"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}