{"id":"https://openalex.org/W2914185443","doi":"https://doi.org/10.1109/cdc.2018.8619280","title":"A fast PDE-constrained optimization solver for nonlinear diffusion-reaction processes","display_name":"A fast PDE-constrained optimization solver for nonlinear diffusion-reaction processes","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2914185443","doi":"https://doi.org/10.1109/cdc.2018.8619280","mag":"2914185443"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2018.8619280","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619280","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5054599765","display_name":"Lasse Hjuler Christiansen","orcid":"https://orcid.org/0000-0002-6644-1381"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Lasse Hjuler Christiansen","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kgs. Lyngby, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kgs. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050946774","display_name":"John Bagterp J\u00f8rgensen","orcid":"https://orcid.org/0000-0001-9799-2808"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"John Bagterp Jorgensen","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kgs. Lyngby, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kgs. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I96673099"],"apc_list":null,"apc_paid":null,"fwci":0.8023,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71240188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":null,"first_page":"2635","last_page":"2640"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9991000294685364,"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":0.9991000294685364,"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/T10192","display_name":"Catalytic Processes in Materials Science","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10353","display_name":"Zeolite Catalysis and Synthesis","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/1604","display_name":"Inorganic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.7491552829742432},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.671837329864502},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5500914454460144},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5349928736686707},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5066014528274536},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5007162094116211},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.479744553565979},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.47448328137397766},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.45756369829177856},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4506363272666931},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.3797074258327484},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3356442451477051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30506640672683716},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.30359992384910583},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07086136937141418}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.7491552829742432},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.671837329864502},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5500914454460144},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5349928736686707},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5066014528274536},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5007162094116211},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.479744553565979},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.47448328137397766},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.45756369829177856},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4506363272666931},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.3797074258327484},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3356442451477051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30506640672683716},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.30359992384910583},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07086136937141418},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2018.8619280","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619280","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/f6e904f5-7e97-493e-a66a-8ac6d6aa800d","is_oa":false,"landing_page_url":"https://orbit.dtu.dk/en/publications/f6e904f5-7e97-493e-a66a-8ac6d6aa800d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Christiansen , L H &amp; J\u00f8rgensen , J B 2018 , A fast PDE-constrained optimization solver for nonlinear diffusion-reaction processes . in Proceedings of 2018 IEEE Conference on Decision and Control . IEEE , pp. 2635-2640 , 57th IEEE Conference on Decision and Control , Miami , Florida , United States , 17/12/2018 . https://doi.org/10.1109/CDC.2018.8619280","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6899999976158142,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W124151937","https://openalex.org/W587489678","https://openalex.org/W1485467598","https://openalex.org/W1506342804","https://openalex.org/W1557215969","https://openalex.org/W1604333309","https://openalex.org/W1839440842","https://openalex.org/W1966766345","https://openalex.org/W1978956894","https://openalex.org/W1992056335","https://openalex.org/W1992896645","https://openalex.org/W2021611778","https://openalex.org/W2059735442","https://openalex.org/W2080621333","https://openalex.org/W2082849992","https://openalex.org/W2091229997","https://openalex.org/W2113020599","https://openalex.org/W2115955659","https://openalex.org/W2127632434","https://openalex.org/W2141870784","https://openalex.org/W2144576196","https://openalex.org/W2165065915","https://openalex.org/W2230655205","https://openalex.org/W2233437624","https://openalex.org/W2776048932","https://openalex.org/W2901844976","https://openalex.org/W4251946813","https://openalex.org/W6628950130","https://openalex.org/W6689210583","https://openalex.org/W6689349712","https://openalex.org/W6756740929"],"related_works":["https://openalex.org/W1970414682","https://openalex.org/W2283235658","https://openalex.org/W2325733899","https://openalex.org/W3022662421","https://openalex.org/W2066041241","https://openalex.org/W2140784834","https://openalex.org/W3120468868","https://openalex.org/W1567048268","https://openalex.org/W1970273404","https://openalex.org/W4206704743"],"abstract_inverted_index":{"Large-scale":[0],"nonlinear":[1,77],"model":[2,170],"predictive":[3],"control":[4,70,98,126,160],"(NMPC)":[5],"often":[6],"relies":[7],"on":[8],"real-time":[9],"solution":[10],"of":[11,27,40,71,135,154,164],"optimization":[12,46],"problems":[13,75,99],"that":[14,100,143],"are":[15],"constrained":[16],"by":[17],"partial":[18],"differential":[19],"equations":[20],"(PDEs).":[21],"However,":[22],"the":[23,28,38,96,122,133,152,155,165,169],"size":[24,167],"and":[25,43,111,168],"complexity":[26],"underlying":[29],"PDEs":[30],"present":[31],"significant":[32],"computational":[33],"challenges.":[34],"In":[35,132],"this":[36,57,59],"regard,":[37],"development":[39],"fast,":[41],"efficient":[42,64],"scalable":[44],"PDEconstrained":[45],"solvers":[47],"remains":[48],"central":[49],"to":[50,113,125,140,158],"large-scale":[51,72],"NMPC.":[52],"As":[53],"a":[54,62,83,91,118],"contribution":[55],"in":[56],"direction,":[58],"paper":[60],"proposes":[61],"new":[63,92],"preconditioned":[65],"iterative":[66],"scheme":[67,81,124,157],"for":[68,95],"optimal":[69],"time-dependent":[73],"diffusion-reaction":[74],"with":[76,90],"reaction":[78],"kinetics.":[79],"The":[80,107],"combines":[82],"custom-made":[84],"high-order":[85],"spectral":[86],"Petrov-Galerkin":[87],"(SPG)":[88],"method":[89],"preconditioner":[93,108],"tailored":[94],"linearquadratic":[97],"underly":[101],"Sequential":[102],"Quadratic":[103],"Programming":[104],"(SQP)":[105],"methods.":[106],"is":[109],"matrixfree":[110],"amenable":[112],"parallelization.":[114],"To":[115],"demonstrate":[116,151],"efficiency,":[117],"case":[119],"study":[120],"applies":[121],"SPG":[123,156],"solid":[127],"fuel":[128],"ignition":[129],"(SFI)":[130],"processes.":[131],"absence":[134],"control,":[136],"such":[137],"processes":[138],"lead":[139],"unstable":[141],"systems":[142],"naturally":[144],"exhibit":[145],"finite-time":[146],"blow-up":[147],"phenomena.":[148],"Open-loop":[149],"simulations":[150],"ability":[153],"efficiently":[159],"SFI":[161],"processes,":[162],"independently":[163],"problem":[166],"parameters.":[171]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
