{"id":"https://openalex.org/W2156978181","doi":"https://doi.org/10.1177/0959651812440910","title":"Model order reduction methods applied to a welding model","display_name":"Model order reduction methods applied to a welding model","publication_year":2012,"publication_date":"2012-04-30","ids":{"openalex":"https://openalex.org/W2156978181","doi":"https://doi.org/10.1177/0959651812440910","mag":"2156978181"},"language":"en","primary_location":{"id":"doi:10.1177/0959651812440910","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651812440910","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","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/A5003093558","display_name":"Fredrik Sikstr\u00f6m","orcid":"https://orcid.org/0000-0001-5734-294X"},"institutions":[{"id":"https://openalex.org/I110263422","display_name":"University West","ror":"https://ror.org/0257kt353","country_code":"SE","type":"education","lineage":["https://openalex.org/I110263422"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Fredrik Sikstr\u00f6m","raw_affiliation_strings":["Department of Engineering Science, University West, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University West, Sweden","institution_ids":["https://openalex.org/I110263422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091063470","display_name":"Anna\u2010Karin Christiansson","orcid":"https://orcid.org/0000-0001-5608-8636"},"institutions":[{"id":"https://openalex.org/I110263422","display_name":"University West","ror":"https://ror.org/0257kt353","country_code":"SE","type":"education","lineage":["https://openalex.org/I110263422"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anna-Karin Christiansson","raw_affiliation_strings":["Department of Engineering Science, University West, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University West, Sweden","institution_ids":["https://openalex.org/I110263422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076331540","display_name":"Bengt Lennartson","orcid":"https://orcid.org/0000-0002-3406-3881"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Bengt Lennartson","raw_affiliation_strings":["Department of Signals and Systems, Chalmers University of Technology, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Signals and Systems, Chalmers University of Technology, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003093558"],"corresponding_institution_ids":["https://openalex.org/I110263422"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15957156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"226","issue":"7","first_page":"972","last_page":"984"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.7890578508377075},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6665253639221191},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.645276665687561},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5591595768928528},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5229895114898682},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5005533695220947},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.4733307957649231},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43012842535972595},{"id":"https://openalex.org/keywords/gas-tungsten-arc-welding","display_name":"Gas tungsten arc welding","score":0.41653311252593994},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2950029671192169},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.27134501934051514},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2573607861995697},{"id":"https://openalex.org/keywords/welding","display_name":"Welding","score":0.2569190263748169},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.252773642539978},{"id":"https://openalex.org/keywords/arc-welding","display_name":"Arc welding","score":0.2500048875808716},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.20060032606124878},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.11743342876434326},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.09112277626991272},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08404737710952759}],"concepts":[{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.7890578508377075},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6665253639221191},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.645276665687561},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5591595768928528},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5229895114898682},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5005533695220947},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.4733307957649231},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43012842535972595},{"id":"https://openalex.org/C3450827","wikidata":"https://www.wikidata.org/wiki/Q1627310","display_name":"Gas tungsten arc welding","level":4,"score":0.41653311252593994},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2950029671192169},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.27134501934051514},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2573607861995697},{"id":"https://openalex.org/C19474535","wikidata":"https://www.wikidata.org/wiki/Q131172","display_name":"Welding","level":2,"score":0.2569190263748169},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.252773642539978},{"id":"https://openalex.org/C20480867","wikidata":"https://www.wikidata.org/wiki/Q422937","display_name":"Arc welding","level":3,"score":0.2500048875808716},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.20060032606124878},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.11743342876434326},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.09112277626991272},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08404737710952759},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1177/0959651812440910","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651812440910","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","raw_type":"journal-article"},{"id":"pmh:oai:research.chalmers.se:165762","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/165762","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5299999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W101236918","https://openalex.org/W110690611","https://openalex.org/W129265518","https://openalex.org/W174708610","https://openalex.org/W296863324","https://openalex.org/W1590943005","https://openalex.org/W1977614178","https://openalex.org/W1981357921","https://openalex.org/W1981924941","https://openalex.org/W1986851782","https://openalex.org/W1987900671","https://openalex.org/W1991933044","https://openalex.org/W1994163367","https://openalex.org/W2000271702","https://openalex.org/W2004778207","https://openalex.org/W2021868723","https://openalex.org/W2059586807","https://openalex.org/W2064733273","https://openalex.org/W2080673722","https://openalex.org/W2088872157","https://openalex.org/W2092439571","https://openalex.org/W2096345667","https://openalex.org/W2117686912","https://openalex.org/W2125201600","https://openalex.org/W2128919817","https://openalex.org/W2141040847","https://openalex.org/W2157803478","https://openalex.org/W2294798173","https://openalex.org/W2401135644","https://openalex.org/W2489009328","https://openalex.org/W2501285203","https://openalex.org/W4206220780","https://openalex.org/W4240691156","https://openalex.org/W4245486574","https://openalex.org/W4252872793","https://openalex.org/W4302181261"],"related_works":["https://openalex.org/W2964175839","https://openalex.org/W2984169103","https://openalex.org/W3135894127","https://openalex.org/W1553723611","https://openalex.org/W2940902978","https://openalex.org/W4283161032","https://openalex.org/W3111739876","https://openalex.org/W2053141352","https://openalex.org/W3013690192","https://openalex.org/W3054478312"],"abstract_inverted_index":{"A":[0],"finite":[1,119,143,159],"element":[2,120,144,160],"representation":[3],"modelling":[4],"transient":[5,123],"heat":[6,124],"conduction":[7],"of":[8,13,35,53,69,73,108,122,141,155,157],"gas":[9],"tungsten":[10],"arc":[11],"welding":[12,41],"stainless":[14],"steel":[15],"is":[16,28,57,146,150],"used":[17],"to":[18,58,65],"evaluate":[19],"different":[20,77],"methods":[21,112],"for":[22,79,90,105,136],"model":[23,34,56,80,109,145],"order":[24,110],"reduction.":[25],"The":[26,51,99],"focus":[27],"on":[29,153],"establishing":[30],"a":[31,48,60,102],"linear":[32],"low-order":[33,55],"the":[36,40,44,67,74,86,106,142,158],"dynamic":[37],"relation":[38],"between":[39],"current":[42],"and":[43,64,95,126,148],"temperature":[45],"measured":[46],"by":[47],"radiation":[49],"pyrometer.":[50],"objective":[52],"this":[54],"design":[59],"model-based":[61],"feedback":[62,71],"controller":[63,137],"investigate":[66],"consequences":[68],"applying":[70],"control":[72],"process.":[75],"Three":[76],"approaches":[78],"reduction":[81,111],"have":[82],"been":[83],"evaluated,":[84],"namely":[85],"Krylov":[87],"subspace":[88],"method":[89],"moment":[91],"matching,":[92],"balanced":[93],"truncation":[94],"parametric":[96,129],"system":[97,130],"identification.":[98,131],"study":[100],"provides":[101],"knowledge":[103],"base":[104],"selection":[107],"when":[113],"dealing":[114],"with":[115],"large-scale":[116],"systems":[117],"like":[118],"models":[121],"conduction,":[125],"it":[127],"recommends":[128],"It":[132],"renders":[133],"sufficient":[134],"approximations":[135],"design,":[138],"no":[139,151],"linearization":[140],"required,":[147],"there":[149],"limit":[152],"degrees":[154],"freedom":[156],"model.":[161]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}