{"id":"https://openalex.org/W2784677056","doi":"https://doi.org/10.1080/10556788.2018.1504050","title":"A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEs","display_name":"A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEs","publication_year":2018,"publication_date":"2018-08-06","ids":{"openalex":"https://openalex.org/W2784677056","doi":"https://doi.org/10.1080/10556788.2018.1504050","mag":"2784677056"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2018.1504050","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2018.1504050","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","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/1801.06356","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044666766","display_name":"Stefanie G\u00fcnther","orcid":"https://orcid.org/0000-0002-9263-6940"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"S. G\u00fcnther","raw_affiliation_strings":["Chair for Scientific Computing, TU Kaiserslautern, Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair for Scientific Computing, TU Kaiserslautern, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023667410","display_name":"Nicolas R. Gauger","orcid":"https://orcid.org/0000-0002-5863-7384"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"N. R. Gauger","raw_affiliation_strings":["Chair for Scientific Computing, TU Kaiserslautern, Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair for Scientific Computing, TU Kaiserslautern, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038235793","display_name":"Jacob B. Schroder","orcid":"https://orcid.org/0000-0002-1076-9206"},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. B. Schroder","raw_affiliation_strings":["Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, CA, USA","Center for Applied Scientific Computing Lawrence Livermore National Laboratory  Livermore CA USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, CA, USA","institution_ids":["https://openalex.org/I1282311441"]},{"raw_affiliation_string":"Center for Applied Scientific Computing Lawrence Livermore National Laboratory  Livermore CA USA","institution_ids":["https://openalex.org/I1282311441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044666766"],"corresponding_institution_ids":["https://openalex.org/I153267046"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01350582,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"6","first_page":"1306","last_page":"1321"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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":0.9976999759674072,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.7334495782852173},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6976034641265869},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.6494492292404175},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6006208062171936},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5745111107826233},{"id":"https://openalex.org/keywords/adjoint-equation","display_name":"Adjoint equation","score":0.5325319766998291},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.48067817091941833},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4762996435165405},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3633066713809967},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3585655987262726},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3437437415122986},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33563172817230225},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07658722996711731}],"concepts":[{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.7334495782852173},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6976034641265869},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.6494492292404175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6006208062171936},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5745111107826233},{"id":"https://openalex.org/C165551260","wikidata":"https://www.wikidata.org/wiki/Q4428962","display_name":"Adjoint equation","level":3,"score":0.5325319766998291},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.48067817091941833},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4762996435165405},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3633066713809967},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3585655987262726},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3437437415122986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33563172817230225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07658722996711731},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1080/10556788.2018.1504050","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2018.1504050","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1801.06356","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1801.06356","pdf_url":"https://arxiv.org/pdf/1801.06356","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":"pmh:oai:osti.gov:1773244","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1773244","pdf_url":"https://www.osti.gov/servlets/purl/1773244","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"mag:2784677056","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1801.06356.pdf","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.1801.06356","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1801.06356","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1801.06356","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1801.06356","pdf_url":"https://arxiv.org/pdf/1801.06356","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":[{"id":"https://openalex.org/G5522089832","display_name":null,"funder_award_id":"DE-AC52-07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G8374966015","display_name":null,"funder_award_id":"AC52-07NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G991281326","display_name":null,"funder_award_id":"AC52-07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320338286","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W35082169","https://openalex.org/W80576238","https://openalex.org/W1672060489","https://openalex.org/W1796252776","https://openalex.org/W2012630580","https://openalex.org/W2018314069","https://openalex.org/W2024731560","https://openalex.org/W2028262885","https://openalex.org/W2029799595","https://openalex.org/W2029941771","https://openalex.org/W2080621333","https://openalex.org/W2083701778","https://openalex.org/W2084405575","https://openalex.org/W2085623372","https://openalex.org/W2106256266","https://openalex.org/W2151261333","https://openalex.org/W2151317657","https://openalex.org/W2188157585","https://openalex.org/W2314156868","https://openalex.org/W2488142099","https://openalex.org/W2527295842","https://openalex.org/W2741919750","https://openalex.org/W2765729611","https://openalex.org/W2767138068","https://openalex.org/W2769357034","https://openalex.org/W2790006186","https://openalex.org/W2964075885","https://openalex.org/W3182816322"],"related_works":["https://openalex.org/W2964016678","https://openalex.org/W2964075885","https://openalex.org/W3029758580","https://openalex.org/W3025960736","https://openalex.org/W2963937940","https://openalex.org/W2902111792","https://openalex.org/W1518285273","https://openalex.org/W2216175445","https://openalex.org/W2139536869","https://openalex.org/W2963268072","https://openalex.org/W2170379025","https://openalex.org/W1962573744","https://openalex.org/W2793306452","https://openalex.org/W2076468575","https://openalex.org/W1577378507","https://openalex.org/W3209599057","https://openalex.org/W2319944301","https://openalex.org/W1486795634","https://openalex.org/W3022160361","https://openalex.org/W1877747076"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,16,129,184],"non-intrusive":[4,27,73],"framework":[5],"for":[6,54,92],"integrating":[7],"existing":[8,51],"unsteady":[9,56],"partial":[10],"differential":[11],"equation":[12],"(PDE)":[13],"solvers":[14],"into":[15,128],"parallel-in-time":[17,74,110],"simultaneous":[18,130],"optimization":[19,131,169,187],"algorithm.":[20,188],"The":[21,167],"time-parallelization":[22],"is":[23,171],"provided":[24],"by":[25],"the":[26,47,78,113,120,134,158,161],"software":[28,35],"library":[29],"XBraid":[30,79,124],"[Parallel":[31],"multigrid":[32,43],"in":[33,64],"time,":[34],"available":[36],"at":[37,89],"http://llnl.gov/casc/xbraid],":[38],"which":[39,179],"applies":[40],"an":[41,174],"iterative":[42],"reduction":[44],"technique":[45],"to":[46,104],"time":[48],"domain":[49],"of":[50,99,157],"time-marching":[52],"schemes":[53],"solving":[55],"PDEs.":[57],"Its":[58],"general":[59],"user-interface":[60],"has":[61],"been":[62],"extended":[63],"[S.":[65],"G\u00fcnther,":[66],"N.R.":[67],"Gauger,":[68],"and":[69,122,149,155,160],"J.B.":[70],"Schroder,":[71],"A":[72],"adjoint":[75,94,123,150],"solver":[76],"with":[77,102,112],"library,":[80],"Comput.":[81],"Vis.":[82],"Sci.":[83],"19":[84],"(2018),":[85],"pp.":[86],"85\u201395.":[87],"Available":[88],"arXiv,":[90],"math.OC/1705.00663]":[91],"computing":[93],"sensitivities":[95],"such":[96,152],"that":[97,153],"gradients":[98],"output":[100],"quantities":[101],"respect":[103],"design":[105,140,159],"changes":[106],"can":[107],"be":[108],"computed":[109],"alongside":[111],"primal":[114,121],"PDE":[115,162],"solution.":[116],"In":[117,137],"this":[118,138],"paper,":[119],"iterations":[125],"are":[126,144,164],"embedded":[127],"framework,":[132],"namely":[133],"One-shot":[135],"method.":[136],"method,":[139],"updates":[141],"towards":[142],"optimality":[143,154],"employed":[145],"after":[146],"each":[147],"state":[148],"update":[151],"feasibility":[156],"solution":[163],"reached":[165],"simultaneously.":[166],"time-parallel":[168],"method":[170],"validated":[172],"on":[173],"advection-dominated":[175],"flow":[176],"control":[177],"problem":[178],"shows":[180],"significant":[181],"speedup":[182],"over":[183],"classical":[185],"time-serial":[186]},"counts_by_year":[],"updated_date":"2026-07-08T08:33:18.762332","created_date":"2025-10-10T00:00:00"}