{"id":"https://openalex.org/W2030532949","doi":"https://doi.org/10.1137/100797953","title":"Two Adjoint-Based Optimization Approaches for a Free Surface Stokes Flow","display_name":"Two Adjoint-Based Optimization Approaches for a Free Surface Stokes Flow","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2030532949","doi":"https://doi.org/10.1137/100797953","mag":"2030532949"},"language":"en","primary_location":{"id":"doi:10.1137/100797953","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100797953","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","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/A5072324236","display_name":"Sabine Repke","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sabine Repke","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049489686","display_name":"Nicole Marheineke","orcid":"https://orcid.org/0000-0002-5912-3465"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nicole Marheineke","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5056829399","display_name":"Ren\u00e9 Pinnau","orcid":"https://orcid.org/0000-0002-8973-1525"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ren\u00e9 Pinnau","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3665,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80398643,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"71","issue":"6","first_page":"2168","last_page":"2184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9991999864578247,"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/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.6692094802856445},{"id":"https://openalex.org/keywords/adjoint-equation","display_name":"Adjoint equation","score":0.6397149562835693},{"id":"https://openalex.org/keywords/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.5982220768928528},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5221243500709534},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4793732464313507},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.45864254236221313},{"id":"https://openalex.org/keywords/control-variable","display_name":"Control variable","score":0.45249906182289124},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4515466094017029},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4492548406124115},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.44379839301109314},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4407598078250885},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.4314403235912323},{"id":"https://openalex.org/keywords/balanced-flow","display_name":"Balanced flow","score":0.4266355633735657},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.42616626620292664},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4223301410675049},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4140096604824066},{"id":"https://openalex.org/keywords/free-surface","display_name":"Free surface","score":0.4101721942424774},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2999681830406189},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.289903461933136},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1295967400074005},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.12182411551475525},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10941901803016663},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.10647842288017273}],"concepts":[{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.6692094802856445},{"id":"https://openalex.org/C165551260","wikidata":"https://www.wikidata.org/wiki/Q4428962","display_name":"Adjoint equation","level":3,"score":0.6397149562835693},{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.5982220768928528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5221243500709534},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4793732464313507},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.45864254236221313},{"id":"https://openalex.org/C153240184","wikidata":"https://www.wikidata.org/wiki/Q3243772","display_name":"Control variable","level":2,"score":0.45249906182289124},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4515466094017029},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4492548406124115},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.44379839301109314},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4407598078250885},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.4314403235912323},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.4266355633735657},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42616626620292664},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4223301410675049},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4140096604824066},{"id":"https://openalex.org/C171889981","wikidata":"https://www.wikidata.org/wiki/Q1454008","display_name":"Free surface","level":2,"score":0.4101721942424774},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2999681830406189},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.289903461933136},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1295967400074005},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.12182411551475525},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10941901803016663},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.10647842288017273},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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:10.1137/100797953","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100797953","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/227158","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/227158","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1515766199","https://openalex.org/W1577617737","https://openalex.org/W1580724525","https://openalex.org/W1584280986","https://openalex.org/W1601728065","https://openalex.org/W1992712365","https://openalex.org/W1993771070","https://openalex.org/W1994171554","https://openalex.org/W2040957206","https://openalex.org/W2045081720","https://openalex.org/W2049638846","https://openalex.org/W2061320056","https://openalex.org/W2064340120","https://openalex.org/W2073270967","https://openalex.org/W2079798735","https://openalex.org/W2084062646","https://openalex.org/W2102163840","https://openalex.org/W2121699723","https://openalex.org/W2123224804","https://openalex.org/W2170888735","https://openalex.org/W2340931652"],"related_works":["https://openalex.org/W2016852760","https://openalex.org/W1972403393","https://openalex.org/W3078710903","https://openalex.org/W2787890441","https://openalex.org/W2279515140","https://openalex.org/W2092652152","https://openalex.org/W2353628113","https://openalex.org/W2088279210","https://openalex.org/W2084062646","https://openalex.org/W272756902"],"abstract_inverted_index":{"This":[0],"work":[1],"deals":[2],"with":[3,102],"the":[4,40,43,56,62,75,80,83],"optimal":[5],"control":[6,51],"of":[7,42,64,82,91],"a":[8,48,65],"free":[9,44,57],"surface":[10],"Stokes":[11],"flow":[12],"which":[13],"responds":[14],"to":[15,104],"an":[16],"applied":[17],"outer":[18],"pressure.":[19],"Typical":[20],"applications":[21],"are":[22,71,99],"fiber":[23],"spinning":[24],"or":[25,50],"thin":[26],"film":[27],"manufacturing.":[28],"We":[29],"present":[30],"and":[31,106],"discuss":[32],"two":[33],"adjoint-based":[34],"optimization":[35,69],"approaches":[36],"that":[37],"differ":[38],"in":[39,89],"treatment":[41],"boundary":[45,58],"as":[46,61],"either":[47],"state":[49],"variable.":[52],"In":[53],"both":[54,97],"cases":[55],"is":[59,87],"modeled":[60],"graph":[63],"function.":[66],"The":[67],"PDE-constrained":[68],"problems":[70],"numerically":[72],"solved":[73],"by":[74],"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno":[76],"(BFGS)":[77],"method,":[78],"where":[79],"gradient":[81],"reduced":[84],"cost":[85],"function":[86],"expressed":[88],"terms":[90],"adjoint":[92],"variables.":[93],"Numerical":[94],"results":[95],"for":[96],"strategies":[98],"finally":[100],"compared":[101],"respect":[103],"accuracy":[105],"efficiency.":[107]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
