{"id":"https://openalex.org/W7160758987","doi":"https://doi.org/10.1007/s00366-026-02312-6","title":"IGANets: Isogeometric analysis networks and their applications to linear structural analysis problems","display_name":"IGANets: Isogeometric analysis networks and their applications to linear structural analysis problems","publication_year":2026,"publication_date":"2026-05-11","ids":{"openalex":"https://openalex.org/W7160758987","doi":"https://doi.org/10.1007/s00366-026-02312-6","pmid":"https://pubmed.ncbi.nlm.nih.gov/42125409"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-026-02312-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-026-02312-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02312-6.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02312-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135803552","display_name":"Matthias M\u00f6ller","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Matthias M\u00f6ller","raw_affiliation_strings":["Department of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135792990","display_name":"G\u00fcnther Obermair","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"G\u00fcnther Obermair","raw_affiliation_strings":["Institute of Lightweight Design and Structural Biomechanics, TU Wien, Gumpendorferstr. 7, 1070 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Lightweight Design and Structural Biomechanics, TU Wien, Gumpendorferstr. 7, 1070 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5127929312","display_name":"Isabella Singer","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Isabella Singer","raw_affiliation_strings":["Institute of Lightweight Design and Structural Biomechanics, TU Wien, Gumpendorferstr. 7, 1070 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Lightweight Design and Structural Biomechanics, TU Wien, Gumpendorferstr. 7, 1070 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5127894955","display_name":"Christian Gollmann","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Christian Gollmann","raw_affiliation_strings":["Institute of Lightweight Design and Structural Biomechanics, TU Wien, Gumpendorferstr. 7, 1070 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Lightweight Design and Structural Biomechanics, TU Wien, Gumpendorferstr. 7, 1070 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020143872","display_name":"Alessandro Reali","orcid":"https://orcid.org/0000-0002-0639-7067"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Reali","raw_affiliation_strings":["Department of Civil Engineering and Architecture, University of Pavia, via A.Ferrata 3, 27100 Pavia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering and Architecture, University of Pavia, via A.Ferrata 3, 27100 Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5135154874","display_name":"Stefanie Elgeti","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Stefanie Elgeti","raw_affiliation_strings":["Institute of Lightweight Design and Structural Biomechanics, TU Wien, Gumpendorferstr. 7, 1070 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Lightweight Design and Structural Biomechanics, TU Wien, Gumpendorferstr. 7, 1070 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5135803552"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.67728353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"3","first_page":"102","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.5942000150680542,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.5942000150680542,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.1315000057220459,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.08609999716281891,"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/isogeometric-analysis","display_name":"Isogeometric analysis","score":0.7741000056266785},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.611299991607666},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5776000022888184},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5307999849319458},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5296000242233276},{"id":"https://openalex.org/keywords/boundary-representation","display_name":"Boundary representation","score":0.47200000286102295},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45719999074935913},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4562999904155731}],"concepts":[{"id":"https://openalex.org/C2780737243","wikidata":"https://www.wikidata.org/wiki/Q17082433","display_name":"Isogeometric analysis","level":3,"score":0.7741000056266785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6452999711036682},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.611299991607666},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5776000022888184},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5307999849319458},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5296000242233276},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4975000023841858},{"id":"https://openalex.org/C117258860","wikidata":"https://www.wikidata.org/wiki/Q895153","display_name":"Boundary representation","level":3,"score":0.47200000286102295},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45719999074935913},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4562999904155731},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.4480000138282776},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4027000069618225},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38029998540878296},{"id":"https://openalex.org/C34972735","wikidata":"https://www.wikidata.org/wiki/Q2920267","display_name":"Engineering design process","level":2,"score":0.3788999915122986},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3781999945640564},{"id":"https://openalex.org/C194789388","wikidata":"https://www.wikidata.org/wiki/Q17855283","display_name":"CAD","level":2,"score":0.36899998784065247},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.33809998631477356},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.32899999618530273},{"id":"https://openalex.org/C119823426","wikidata":"https://www.wikidata.org/wiki/Q184793","display_name":"Computer Aided Design","level":2,"score":0.3208000063896179},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3050000071525574},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3010999858379364},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.29120001196861267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2842999994754791},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25119999051094055}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00366-026-02312-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-026-02312-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02312-6.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},{"id":"pmid:42125409","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/42125409","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with computers","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:13158258","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC13158258/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Eng Comput","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s00366-026-02312-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-026-02312-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-026-02312-6.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3379970459","display_name":"Plastics Lightweight Structures with 3D Gradation","funder_award_id":"I6957","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G5925554676","display_name":null,"funder_award_id":"10.55776/I6957","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8590477180","display_name":null,"funder_award_id":"10.55776","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7160758987.pdf","grobid_xml":"https://content.openalex.org/works/W7160758987.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W641737773","https://openalex.org/W1968326286","https://openalex.org/W1970454553","https://openalex.org/W2001224147","https://openalex.org/W2021818960","https://openalex.org/W2031484768","https://openalex.org/W2052435388","https://openalex.org/W2097777509","https://openalex.org/W2158985775","https://openalex.org/W2325245580","https://openalex.org/W2792966354","https://openalex.org/W2801788870","https://openalex.org/W2899283552","https://openalex.org/W2944520835","https://openalex.org/W2979786244","https://openalex.org/W3037528981","https://openalex.org/W3097407278","https://openalex.org/W3164032021","https://openalex.org/W3201666041","https://openalex.org/W4240664544","https://openalex.org/W4253384994","https://openalex.org/W4294050791","https://openalex.org/W4308296609","https://openalex.org/W4324044644","https://openalex.org/W4380610957","https://openalex.org/W4393011654","https://openalex.org/W4399023473","https://openalex.org/W4405830861","https://openalex.org/W4406820016","https://openalex.org/W4408339746"],"related_works":[],"abstract_inverted_index":{"Fast":[0],"numerical":[1,25,113,161],"predictions":[2,44,83],"have":[3],"become":[4],"an":[5],"indispensable":[6],"component":[7],"of":[8,73,95,192,218],"modern":[9],"engineering":[10],"design":[11,16,19,29],"workflows,":[12,90],"whether":[13],"in":[14,23,140,185],"interactive":[15],"within":[17,45,208],"computer-aided":[18],"(CAD)":[20],"environments":[21],"or":[22,49],"multi-query":[24],"tasks":[26],"such":[27,81],"as":[28,215],"optimization":[30],"and":[31,112,156,167,182],"uncertainty":[32],"quantification.":[33],"Depending":[34],"on":[35,64,119,132],"the":[36,65,71,93,153,164,189,193,209,216],"context,":[37],"\"fast\"":[38],"may":[39],"refer":[40],"to":[41,51,187],"near":[42],"real-time":[43],"a":[46,75,141,174],"few":[47],"seconds,":[48],"simply":[50],"methods":[52],"that":[53,77,104,198],"are":[54,98,138],"significantly":[55],"faster":[56],"than":[57],"high-fidelity":[58],"simulations,":[59],"for":[60,163,203],"example":[61],"those":[62,117],"based":[63,118],"finite":[66],"element":[67],"method":[68],"(FEM).":[69],"With":[70],"aim":[72],"providing":[74],"tool":[76],"not":[78,129],"only":[79],"enables":[80],"accelerated":[82],"but":[84],"also":[85],"integrates":[86],"seamlessly":[87],"into":[88],"established":[89],"we":[91,151,172],"introduce":[92],"concept":[94,155],"IGANets.":[96],"IGANets":[97,127,154,199],"spline-based,":[99],"physics-informed":[100],"machine":[101],"learning":[102],"models":[103],"can":[105,200],"be":[106],"integrated":[107],"naturally":[108],"between":[109],"CAD":[110],"representations":[111],"analysis":[114,121],"tools,":[115],"particularly":[116],"isogeometric":[120],"(IGA).":[122],"Unlike":[123],"purely":[124],"data-driven":[125],"approaches,":[126],"do":[128],"inherently":[130],"rely":[131],"precomputed":[133],"training":[134,210,219],"data;":[135],"instead,":[136],"they":[137],"formulated":[139],"collocation":[142],"setting":[143,177],"directly":[144],"from":[145],"physical":[146],"models.":[147],"In":[148,170],"this":[149],"paper,":[150],"present":[152],"demonstrate":[157],"its":[158],"feasibility":[159],"through":[160],"experiments":[162],"Poisson":[165],"equation":[166],"linear":[168],"elasticity.":[169],"addition,":[171],"investigate":[173],"multi-instance":[175],"linear-elasticity":[176],"with":[178,212],"varying":[179],"I-beam-like":[180],"geometries":[181],"boundary":[183],"conditions":[184],"order":[186],"assess":[188],"generalization":[190],"capability":[191],"framework.":[194],"The":[195],"results":[196],"show":[197],"predict":[201],"solutions":[202],"previously":[204],"unseen":[205],"problem":[206],"instances":[207],"range":[211],"improved":[213],"accuracy":[214],"number":[217],"samples":[220],"increases.":[221]},"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2026-05-11T00:00:00"}