{"id":"https://openalex.org/W2897949686","doi":"https://doi.org/10.1109/mmar.2018.8486037","title":"On Control-Oriented Modeling in Heat Transfer Based on a Projection Technique and the Method of Integrodifferential Relations","display_name":"On Control-Oriented Modeling in Heat Transfer Based on a Projection Technique and the Method of Integrodifferential Relations","publication_year":2018,"publication_date":"2018-08-01","ids":{"openalex":"https://openalex.org/W2897949686","doi":"https://doi.org/10.1109/mmar.2018.8486037","mag":"2897949686"},"language":"en","primary_location":{"id":"doi:10.1109/mmar.2018.8486037","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2018.8486037","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)","raw_type":"proceedings-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/A5073834272","display_name":"Vasily Saurin","orcid":"https://orcid.org/0000-0001-9349-6890"},"institutions":[{"id":"https://openalex.org/I4210092536","display_name":"Institute for Problems in Mechanics","ror":"https://ror.org/00nj22y86","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210092536","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Vasily Saurin","raw_affiliation_strings":["Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I4210092536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088498976","display_name":"Andreas Rauh","orcid":"https://orcid.org/0000-0002-1548-6547"},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Rauh","raw_affiliation_strings":["University of Rostock, Rostock, Germany"],"affiliations":[{"raw_affiliation_string":"University of Rostock, Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061788743","display_name":"Harald Aschemann","orcid":"https://orcid.org/0000-0001-7789-5699"},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Harald Aschemann","raw_affiliation_strings":["University of Rostock, Rostock, Germany"],"affiliations":[{"raw_affiliation_string":"University of Rostock, Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073834272"],"corresponding_institution_ids":["https://openalex.org/I4210092536"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16650752,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"953","last_page":"958"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9944999814033508,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9912999868392944,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.645779013633728},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5925724506378174},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5867381691932678},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5195258259773254},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5143569707870483},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.5089178085327148},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4983696937561035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4869140386581421},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.48548582196235657},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46972405910491943},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.4562254548072815},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4514743387699127},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44983890652656555},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.43938177824020386},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.4335825741291046},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35570257902145386},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3446502089500427},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28718042373657227},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1467115879058838},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1400204598903656},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09793448448181152},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.0815170407295227}],"concepts":[{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.645779013633728},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5925724506378174},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5867381691932678},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5195258259773254},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5143569707870483},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.5089178085327148},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4983696937561035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4869140386581421},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.48548582196235657},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46972405910491943},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.4562254548072815},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4514743387699127},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44983890652656555},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.43938177824020386},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.4335825741291046},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35570257902145386},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3446502089500427},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28718042373657227},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1467115879058838},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1400204598903656},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09793448448181152},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0815170407295227},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"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/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mmar.2018.8486037","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2018.8486037","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7300000190734863,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W587707547","https://openalex.org/W1508591224","https://openalex.org/W2005491168","https://openalex.org/W2064433758","https://openalex.org/W2492884854","https://openalex.org/W2526522880","https://openalex.org/W3143747499","https://openalex.org/W6630401098"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W2996841952","https://openalex.org/W1580703421","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W2489516236"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"projection":[3],"techniques":[4],"of":[5,17,19,25,38,50,75,96,103],"an":[6,46,94],"initial-boundary":[7],"value":[8],"problem":[9,55,61,98],"formulated":[10],"originally":[11],"in":[12,35,66],"PDEs":[13],"to":[14,72],"a":[15,51,67,73],"system":[16,74],"ODEs":[18],"small":[20],"dimension":[21],"are":[22,41,56,106],"presented.":[23],"Properties":[24],"various":[26],"quadratic":[27],"relations":[28],"derived":[29],"from":[30],"energy":[31],"terms":[32],"that":[33],"arise":[34],"different":[36],"problems":[37],"mathematical":[39],"physics":[40],"studied":[42],"and":[43,85,108],"discussed.":[44,109],"As":[45],"example,":[47],"integrodifferential":[48],"formulations":[49],"2-D":[52],"heat":[53,63],"transfer":[54,64],"considered.":[57],"A":[58],"feedforward":[59],"control":[60],"for":[62,92],"processes":[65],"metal":[68],"plate":[69],"is":[70,99],"reduced":[71],"ordinary":[76],"differential":[77],"equations":[78],"based":[79],"on":[80],"the":[81,97],"finite":[82],"element":[83],"method":[84],"semi-discrete":[86],"approximations":[87],"with":[88],"polynomial":[89],"basis":[90],"functions":[91],"which":[93],"analysis":[95],"performed.":[100],"Finally,":[101],"results":[102],"numerical":[104],"simulations":[105],"presented":[107]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}