<div class="csl-bib-body">
<div class="csl-entry">Obermair, G., Möller, M., & Elgeti, S. (2026, July 24). <i>Applying IGANets to Computational Mechanics: Fast Numerical Predictions over Varying Geometries</i> [Conference Presentation]. 17th World Congress on Computational Mechanics & 10th European Congress on Computational Methods in Applied Sciences and Engineering (WCCM-ECCOMAS 2026), München, Germany.</div>
</div>
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/230554
-
dc.description.abstract
Fast numerical predictions are a key enabler for interactive engineering design and optimization. In today’s Finite Element Method (FEM) workflows, each design change typically requires a repeated CAD-to-analysis loop - geometry preparation, meshing, boundary condition transfer, and a new solver run - making rapid iteration difficult and turning optimization into a computational bottleneck. This contribution presents the application of IGANets (Isogeometric Analysis Networks) - a spline-based, physics-informed surrogate that aims to alleviate this loop - to test cases from structural mechanics. Once trained, IGANets enables physically-consistent near real-time evaluations directly on spline geometries, preserving the CAD-compatible representation of Isogeometric Analysis (IGA) while reducing the need for repeated full-order simulations in multi-query settings.
Unlike purely data-driven surrogates, IGANets is trained by minimizing residuals of the governing equations and boundary conditions, enabling generalization beyond the geometries seen during training. This makes the method particularly attractive for design workflows where geometry is modified and updated predictions are required immediately. The method builds on isogeometric collocation. The strong-form equations are enforced at Greville-type collocation points by residual minimization. The approach is demonstrated on representative two-dimensional linear and nonlinear elasticity problems and its generalization capability across geometric variations is highlighted. In addition, first results are presented on using IGANets for material optimization via spatially varying material parameters.
Accuracy and training behavior are assessed against established Galerkin-IGA and collocation reference solvers. Partial supervision with reference solutions is discussed as a means to accelerate training and improve robustness. Ongoing work targets broader generalization across geometry, material, and boundary-condition variations to support real-time design exploration.
en
dc.language.iso
en
-
dc.subject
Isogeometric Analysis
en
dc.subject
Physics-Informed Machine Learning
en
dc.subject
Computational Mechanics
en
dc.title
Applying IGANets to Computational Mechanics: Fast Numerical Predictions over Varying Geometries
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.contributor.affiliation
Delft University of Technology, Netherlands (the)
-
dc.type.category
Conference Presentation
-
tuw.researchTopic.id
C4
-
tuw.researchTopic.id
C5
-
tuw.researchTopic.id
C6
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
-
tuw.researchTopic.name
Computer Science Foundations
-
tuw.researchTopic.name
Modeling and Simulation
-
tuw.researchTopic.value
20
-
tuw.researchTopic.value
20
-
tuw.researchTopic.value
60
-
tuw.publication.orgunit
E317-01-1 - Forschungsgruppe Numerische Analyse- und Designmethoden
-
tuw.author.orcid
0000-0003-0802-945X
-
tuw.author.orcid
0000-0002-4474-1666
-
tuw.event.name
17th World Congress on Computational Mechanics & 10th European Congress on Computational Methods in Applied Sciences and Engineering (WCCM-ECCOMAS 2026)
en
tuw.event.startdate
19-07-2026
-
tuw.event.enddate
24-07-2026
-
tuw.event.online
On Site
-
tuw.event.type
Event for scientific audience
-
tuw.event.place
München
-
tuw.event.country
DE
-
tuw.event.presenter
Obermair, Günther
-
wb.sciencebranch
Maschinenbau
-
wb.sciencebranch
Informatik
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
2030
-
wb.sciencebranch.oefos
1020
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
30
-
wb.sciencebranch.value
50
-
wb.sciencebranch.value
20
-
item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.languageiso639-1
en
-
item.openairecristype
http://purl.org/coar/resource_type/c_18cp
-
item.cerifentitytype
Publications
-
item.openairetype
conference paper not in proceedings
-
crisitem.author.dept
E317-01-1 - Forschungsgruppe Numerische Analyse- und Designmethoden
-
crisitem.author.dept
Delft University of Technology, Netherlands (the)
-
crisitem.author.dept
E317-01 - Forschungsbereich Leichtbau
-
crisitem.author.orcid
0000-0003-0802-945X
-
crisitem.author.orcid
0000-0002-4474-1666
-
crisitem.author.parentorg
E317-01 - Forschungsbereich Leichtbau
-
crisitem.author.parentorg
E317 - Institut für Leichtbau und Struktur-Biomechanik
