{"id":"https://openalex.org/W2081962455","doi":"https://doi.org/10.1137/140959055","title":"Measure Valued Directional Sparsity for Parabolic Optimal Control Problems","display_name":"Measure Valued Directional Sparsity for Parabolic Optimal Control Problems","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2081962455","doi":"https://doi.org/10.1137/140959055","mag":"2081962455"},"language":"en","primary_location":{"id":"doi:10.1137/140959055","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140959055","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","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/A5074607617","display_name":"Karl Kunisch","orcid":"https://orcid.org/0000-0003-1113-7355"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karl Kunisch","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039360363","display_name":"Konstantin Pieper","orcid":"https://orcid.org/0000-0002-4982-2588"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Konstantin Pieper","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5085823095","display_name":"Boris Vexler","orcid":"https://orcid.org/0000-0001-6211-4263"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Boris Vexler","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.0847,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":{"value":0.97579327,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"52","issue":"5","first_page":"3078","last_page":"3108"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9993000030517578,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.8381613492965698},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.8112835884094238},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.795120120048523},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7469708323478699},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7088412046432495},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6847679615020752},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5613982081413269},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5236903429031372},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.483481228351593},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.44846826791763306},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.41554954648017883},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38424065709114075},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22696879506111145},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1858331859111786},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12010300159454346}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8381613492965698},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.8112835884094238},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.795120120048523},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7469708323478699},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7088412046432495},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6847679615020752},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5613982081413269},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5236903429031372},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.483481228351593},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.44846826791763306},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.41554954648017883},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38424065709114075},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22696879506111145},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1858331859111786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12010300159454346},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/140959055","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140959055","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.721.8052","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.721.8052","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www-m17.ma.tum.de/foswiki/pub/M17/Lehrstuhl/Public/kunisch_pieper_vexler_2014.pdf","raw_type":"text"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1658929","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1658929","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W15974491","https://openalex.org/W352877261","https://openalex.org/W1485301309","https://openalex.org/W1492326914","https://openalex.org/W1533889494","https://openalex.org/W1586623601","https://openalex.org/W1653619892","https://openalex.org/W1794301351","https://openalex.org/W1969031634","https://openalex.org/W1971760781","https://openalex.org/W1973494638","https://openalex.org/W1981343212","https://openalex.org/W1989057022","https://openalex.org/W1990941154","https://openalex.org/W2001685609","https://openalex.org/W2008621392","https://openalex.org/W2015783980","https://openalex.org/W2033001896","https://openalex.org/W2060073982","https://openalex.org/W2082621526","https://openalex.org/W2095140771","https://openalex.org/W2139644578","https://openalex.org/W2144047659","https://openalex.org/W2155447220","https://openalex.org/W2528434607","https://openalex.org/W2601777109","https://openalex.org/W4293032004"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W1971388572","https://openalex.org/W1507702947"],"abstract_inverted_index":{"Abstract.":[0],"A":[1],"directional":[2],"sparsity":[3],"framework":[4],"allowing":[5],"for":[6,16,23,67],"measure":[7],"valued":[8],"controls":[9,24],"in":[10,28],"the":[11,31,40,47,60,77,80,85],"spatial":[12,32],"direction":[13],"is":[14,34,44,50,53,71],"proposed":[15,81],"parabolic":[17],"optimal":[18,41],"control":[19,42],"problems.":[20],"It":[21,52],"allows":[22],"which":[25],"are":[26],"localized":[27],"space,":[29],"where":[30],"support":[33],"independent":[35],"of":[36,39,59,79],"time.":[37],"Well-posedness":[38],"problems":[43],"established":[45],"and":[46,73,84],"optimality":[48],"system":[49],"derived.":[51],"used":[54],"to":[55],"establish":[56],"structural":[57],"properties":[58],"minimizer.":[61],"An":[62],"a":[63],"priori":[64],"error":[65],"analysis":[66],"finite":[68],"element":[69],"discretization":[70],"obtained,":[72],"numerical":[74],"results":[75],"illustrate":[76],"effects":[78],"cost":[82],"functional":[83],"convergence":[86],"results.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
