{"id":"https://openalex.org/W133136627","doi":"https://doi.org/10.1007/978-3-642-36062-6_42","title":"Numerical Shape Optimization via Dynamic Programming","display_name":"Numerical Shape Optimization via Dynamic Programming","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W133136627","doi":"https://doi.org/10.1007/978-3-642-36062-6_42","mag":"133136627"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-36062-6_42","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-36062-6_42","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-36062-6_42.pdf","source":{"id":"https://openalex.org/S4210175514","display_name":"IFIP International Federation for Information Processing/IFIP","issn_l":"1571-5736","issn":["1571-5736","1861-2288"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-36062-6_42.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044691445","display_name":"Jan Pustelnik","orcid":null},"institutions":[{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Jan Pustelnik","raw_affiliation_strings":["Fac. of Math. & Computer Science, University of Lodz, Banacha 22, 90-128, Lodz, Poland","University of L\u00f3d\u017c"],"affiliations":[{"raw_affiliation_string":"Fac. of Math. & Computer Science, University of Lodz, Banacha 22, 90-128, Lodz, Poland","institution_ids":["https://openalex.org/I34250744"]},{"raw_affiliation_string":"University of L\u00f3d\u017c","institution_ids":["https://openalex.org/I34250744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044691445"],"corresponding_institution_ids":["https://openalex.org/I34250744"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02835803,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"417","last_page":"426"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11115","display_name":"Topology Optimization in Engineering","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.994700014591217,"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":0.989300012588501,"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/discretization","display_name":"Discretization","score":0.7426237463951111},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.5898017287254333},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5300626158714294},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5127611756324768},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.49481648206710815},{"id":"https://openalex.org/keywords/topology-optimization","display_name":"Topology optimization","score":0.45062828063964844},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44590887427330017},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.42640113830566406},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.41480785608291626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37014734745025635},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3421878218650818},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32077598571777344},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.21168041229248047},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18889069557189941},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11122941970825195},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09871134161949158},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.0717100203037262},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0703277587890625}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7426237463951111},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.5898017287254333},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5300626158714294},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5127611756324768},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.49481648206710815},{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.45062828063964844},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44590887427330017},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.42640113830566406},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.41480785608291626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37014734745025635},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3421878218650818},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32077598571777344},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.21168041229248047},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18889069557189941},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11122941970825195},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09871134161949158},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0717100203037262},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0703277587890625},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-36062-6_42","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-36062-6_42","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-36062-6_42.pdf","source":{"id":"https://openalex.org/S4210175514","display_name":"IFIP International Federation for Information Processing/IFIP","issn_l":"1571-5736","issn":["1571-5736","1861-2288"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01347564v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01347564","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.417-426, &#x27E8;10.1007/978-3-642-36062-6_42&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"doi:10.1007/978-3-642-36062-6_42","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-36062-6_42","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-642-36062-6_42.pdf","source":{"id":"https://openalex.org/S4210175514","display_name":"IFIP International Federation for Information Processing/IFIP","issn_l":"1571-5736","issn":["1571-5736","1861-2288"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W133136627.pdf","grobid_xml":"https://content.openalex.org/works/W133136627.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W251471697","https://openalex.org/W1516415680","https://openalex.org/W1567262822","https://openalex.org/W2010852247","https://openalex.org/W2071151870","https://openalex.org/W2072616783","https://openalex.org/W2080652314","https://openalex.org/W4236632459","https://openalex.org/W4302609762"],"related_works":["https://openalex.org/W2131668762","https://openalex.org/W2626393126","https://openalex.org/W2225569501","https://openalex.org/W2691297431","https://openalex.org/W2658832254","https://openalex.org/W2644691884","https://openalex.org/W2323997591","https://openalex.org/W2945298261","https://openalex.org/W2742882971","https://openalex.org/W2315862940"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"describe":[4],"a":[5,13,51,60],"novel":[6],"framework":[7],"for":[8,40,86],"finding":[9],"numerical":[10],"solutions":[11],"to":[12,49,64],"wide":[14],"range":[15],"of":[16,31,34,76],"shape":[17,72],"optimization":[18,73],"problems.":[19],"It":[20],"is":[21],"based":[22],"on":[23],"classical":[24],"dynamic":[25],"programming":[26],"approach":[27],"augmented":[28],"with":[29],"discretization":[30],"the":[32,56,83],"space":[33],"trajectories":[35],"and":[36,71,80],"controls.":[37],"This":[38,44],"allows":[39],"straightforward":[41],"algorithmic":[42],"implementation.":[43],"method":[45],"has":[46],"been":[47],"used":[48],"solve":[50],"well":[52],"known":[53],"problem":[54,62],"called":[55],"\u201ddividing":[57],"tube":[58],"problem\u201d,":[59],"state":[61],"related":[63],"fluid":[65],"mechanics,":[66],"that":[67],"requires":[68],"simultaneous":[69],"topology":[70],"in":[74],"case":[75],"elastic":[77],"contact":[78],"problems":[79],"involves":[81],"solving":[82],"Navier-Stokes":[84],"equations":[85],"viscous":[87],"incompressible":[88],"fluids.":[89]},"counts_by_year":[],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
