{"id":"https://openalex.org/W2073186063","doi":"https://doi.org/10.2478/amcs-2014-0064","title":"A hybrid algorithm for solving inverse problems in elasticity","display_name":"A hybrid algorithm for solving inverse problems in elasticity","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2073186063","doi":"https://doi.org/10.2478/amcs-2014-0064","mag":"2073186063"},"language":"en","primary_location":{"id":"doi:10.2478/amcs-2014-0064","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2014-0064","pdf_url":"https://sciendo.com/pdf/10.2478/amcs-2014-0064","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/amcs-2014-0064","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083322811","display_name":"Barbara Barabasz","orcid":"https://orcid.org/0000-0001-7303-2511"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Barbara Barabasz","raw_affiliation_strings":["Department of Computer Science AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00b4ow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00b4ow, Poland","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061266384","display_name":"Ewa Gajda-Zag\u00f3rska","orcid":null},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Ewa Gajda-Zag\u00f3rska","raw_affiliation_strings":["Department of Computer Science AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00b4ow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00b4ow, Poland","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082850653","display_name":"Stanis\u0142aw Mig\u00f3rski","orcid":"https://orcid.org/0000-0002-3299-9168"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Stanis\u0142aw Mig\u00f3rski","raw_affiliation_strings":["Chair of Optimization and Control Theory Jagiellonian University, Krak\u00b4ow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Optimization and Control Theory Jagiellonian University, Krak\u00b4ow, Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075191779","display_name":"Maciej Paszy\u0144ski","orcid":"https://orcid.org/0000-0001-7766-6052"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Maciej Paszy\u0144ski","raw_affiliation_strings":["Department of Computer Science AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00b4ow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00b4ow, Poland","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047093707","display_name":"Robert Schaefer","orcid":"https://orcid.org/0000-0002-1669-2086"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Robert Schaefer","raw_affiliation_strings":["Department of Computer Science AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00b4ow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00b4ow, Poland","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027877891","display_name":"Maciej Sm\u00f3\u0142ka","orcid":"https://orcid.org/0000-0002-3386-0555"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Maciej Smo\u0142ka","raw_affiliation_strings":["Department of Computer Science AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00b4ow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science AGH University of Science and Technology, Mickiewicza 30, 30-059 Krak\u00b4ow, Poland","institution_ids":["https://openalex.org/I686019"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":4.9295,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.9546449,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"24","issue":"4","first_page":"865","last_page":"886"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991999864578247,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.7504552602767944},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6513182520866394},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.5197624564170837},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5057847499847412},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5047086477279663},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.49056094884872437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4303944706916809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42456620931625366},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39259040355682373},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08849525451660156}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.7504552602767944},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6513182520866394},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5197624564170837},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5057847499847412},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5047086477279663},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.49056094884872437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4303944706916809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42456620931625366},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39259040355682373},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08849525451660156},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2478/amcs-2014-0064","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2014-0064","pdf_url":"https://sciendo.com/pdf/10.2478/amcs-2014-0064","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:ruj.uj.edu.pl:item/4101","is_oa":true,"landing_page_url":"http://ruj.uj.edu.pl/bitstreams/207884d9-67dc-4cf8-b8d1-3f5fcbf773e4/download","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"artyku\u0142 w czasopi\u015bmie"},{"id":"pmh:oai:doaj.org/article:6eab8a83b80247379fb272df3a9f8e33","is_oa":true,"landing_page_url":"https://doaj.org/article/6eab8a83b80247379fb272df3a9f8e33","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, Vol 24, Iss 4, Pp 865-886 (2014)","raw_type":"article"},{"id":"pmh:oai:zbc.uz.zgora.pl:78994","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=78994","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=papers&issue=59","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/amcs-2014-0064","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2014-0064","pdf_url":"https://sciendo.com/pdf/10.2478/amcs-2014-0064","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2073186063.pdf","grobid_xml":"https://content.openalex.org/works/W2073186063.grobid-xml"},"referenced_works_count":73,"referenced_works":["https://openalex.org/W155158863","https://openalex.org/W181225834","https://openalex.org/W622090884","https://openalex.org/W629817986","https://openalex.org/W635768826","https://openalex.org/W1512208174","https://openalex.org/W1518078339","https://openalex.org/W1518443103","https://openalex.org/W1541691514","https://openalex.org/W1554493230","https://openalex.org/W1570089119","https://openalex.org/W1591608973","https://openalex.org/W1592730613","https://openalex.org/W1601892042","https://openalex.org/W1666485456","https://openalex.org/W1742154315","https://openalex.org/W1754434392","https://openalex.org/W1774887349","https://openalex.org/W1779882346","https://openalex.org/W1803953075","https://openalex.org/W1812481428","https://openalex.org/W1840956478","https://openalex.org/W1968569154","https://openalex.org/W1973967410","https://openalex.org/W1976435787","https://openalex.org/W1981689130","https://openalex.org/W1985081330","https://openalex.org/W1991771372","https://openalex.org/W2001091496","https://openalex.org/W2002021444","https://openalex.org/W2005126631","https://openalex.org/W2009674606","https://openalex.org/W2018207223","https://openalex.org/W2033926111","https://openalex.org/W2037692373","https://openalex.org/W2040390596","https://openalex.org/W2041523977","https://openalex.org/W2049393429","https://openalex.org/W2056487301","https://openalex.org/W2063819119","https://openalex.org/W2066717512","https://openalex.org/W2082811205","https://openalex.org/W2087077577","https://openalex.org/W2088991873","https://openalex.org/W2093268804","https://openalex.org/W2096666477","https://openalex.org/W2109911863","https://openalex.org/W2121402967","https://openalex.org/W2139306131","https://openalex.org/W2140623362","https://openalex.org/W2148948822","https://openalex.org/W2150869884","https://openalex.org/W2165266848","https://openalex.org/W2315881802","https://openalex.org/W2337791351","https://openalex.org/W2466375576","https://openalex.org/W2490228683","https://openalex.org/W2491020322","https://openalex.org/W2494236341","https://openalex.org/W2495211843","https://openalex.org/W2508943524","https://openalex.org/W2591981952","https://openalex.org/W3129468932","https://openalex.org/W3130571686","https://openalex.org/W4210300254","https://openalex.org/W4230960434","https://openalex.org/W4232599623","https://openalex.org/W4243967631","https://openalex.org/W4244376259","https://openalex.org/W4300163110","https://openalex.org/W4312782672","https://openalex.org/W4388941807","https://openalex.org/W6790340191"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W2354676191","https://openalex.org/W2909957174","https://openalex.org/W3188646203","https://openalex.org/W2105527480","https://openalex.org/W2053598678","https://openalex.org/W2516735115","https://openalex.org/W3155039083","https://openalex.org/W1543136835","https://openalex.org/W4210375670"],"abstract_inverted_index":{"Abstract":[0],"The":[1,22,70,84,156],"paper":[2],"offers":[3,86],"a":[4,95,107,169,186,190],"new":[5],"approach":[6],"to":[7,77,129],"handling":[8],"difficult":[9],"parametric":[10],"inverse":[11,102,145],"problems":[12,79],"in":[13,65,98,174,185],"elasticity":[14],"and":[15,90,101,122,144,197],"thermo-elasticity,":[16],"formulated":[17],"as":[18],"global":[19,33],"optimization":[20],"ones.":[21],"proposed":[23,71,160],"strategy":[24,73,85],"is":[25,74,148,166],"composed":[26,117],"of":[27,42,44,68,113,118,138,141,151,158,162,189],"two":[28],"phases.":[29],"In":[30,48],"the":[31,35,40,49,52,110,114,119,123,130,139,149,152,159],"first,":[32],"phase,":[34,51],"stochastic":[36],"hp-HGS":[37],"algorithm":[38],"recognizes":[39],"basins":[41],"attraction":[43],"various":[45],"objective":[46,54,82,115,183],"minima.":[47],"second":[50],"local":[53],"minimizers":[55],"are":[56],"closer":[57],"approached":[58],"by":[59,168],"steepest":[60],"descent":[61],"processes":[62],"executed":[63],"singly":[64],"each":[66],"basin":[67],"attraction.":[69],"complex":[72],"especially":[75],"dedicated":[76],"ill-posed":[78],"with":[80,127],"multimodal":[81],"functionals.":[83],"comparatively":[87],"low":[88],"computational":[89,170],"memory":[91],"costs":[92],"resulting":[93],"from":[94],"double-adaptive":[96,154],"technique":[97],"both":[99],"forward":[100,143],"problem":[103],"domains.":[104],"We":[105],"provide":[106],"result":[108],"on":[109],"Lipschitz":[111],"continuity":[112],"functional":[116,184],"elastic":[120],"energy":[121],"boundary":[124],"displacement":[125],"misfits":[126],"respect":[128],"unknown":[131],"constitutive":[132],"parameters.":[133],"It":[134],"allows":[135],"common":[136],"scaling":[137],"accuracy":[140],"solving":[142],"problems,":[146],"which":[147,172],"core":[150],"introduced":[153],"technique.":[155],"capability":[157],"method":[161],"finding":[163],"multiple":[164],"solutions":[165],"illustrated":[167],"example":[171],"consists":[173],"restoring":[175],"all":[176],"feasible":[177],"Young":[178],"modulus":[179],"distributions":[180],"minimizing":[181],"an":[182],"3D":[187],"domain":[188],"photo":[191],"polymer":[192],"template":[193],"obtained":[194],"during":[195],"step":[196],"flash":[198],"imprint":[199],"lithography.":[200]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
